FR3122675A1 - Two-Layer Multi-Strand Rope with Improved Areal Breaking Energy - Google Patents

Abstract

The invention relates to a multi-strand cable (50) comprising an internal layer (CI) of the cable consisting of K=3 or 4 internal strands (TI) with two layers (C1, C3) with the internal layer (C1) consisting of Q = 2, 3 or 4 internal metallic wires (F1) and the external layer (C3) made up of N external metallic wires (F3) and an external layer (CE) of the cable made up of L>1 external strands (TE) with three layers (C1', C2', C3') wound around the internal layer (CI) of the cable with the internal layer (C1') consisting of Q' internal metal wires (F1'), the intermediate layer (C2') consisting of M' intermediate metal wires (F2') and the external layer (C3') consisting of N' external metal wires (F3'). The cable (50) has a surface breaking energy ES ≥ 165 N.mm-1 with ES= x x Cfrag / D, with sum of the breaking forces for Nc wires, sum of the total elongation of the Nc wires, Cfrag coefficient of weakening of the cable (50) and D diameter of the cable (50). Figure for abstract: Fig 4

Description

Two-Layer Multi-Strand Rope with Improved Areal Breaking Energy

The invention relates to cables and a tire comprising these cables.

We know from the state of the art, in particular from document US20090205308, a tire for civil engineering vehicles with a radial carcass reinforcement comprising a tread, two inextensible beads, two sidewalls connecting the beads to the tread and a reinforcement of crown, arranged circumferentially between the carcass reinforcement and the tread. This crown reinforcement comprises four plies reinforced by reinforcing elements such as metal cables, the cables of a ply being embedded in an elastomeric matrix of the ply.

This crown reinforcement comprises several working plies comprising several reinforcing wire elements. Each work reinforcement wire element is a two-layer multi-strand cable having an internal layer of the cable made up of K=3 internal two-layer strands comprising an internal layer made up of Q=3 internal metal wires with a diameter d1= 0.195 mm and an outer layer consisting of N=9 outer metal wires of diameter d3=0.195 mm wound around the inner layer; an outer layer of the cable consisting of L= 8 outer three-layer strands comprising an inner layer consisting of Q'= 3 internal metal wires with a diameter d1'=0.175 mm, an intermediate layer consisting of M=9 intermediate metal wires with a diameter d1 = 0.175 mm and an outer layer consisting of N′=15 outer metal wires of diameter d3′=0.175 mm wound around the inner layer. The diameter of the unhooped cable is equal to 3.91 mm for a breaking force of 21776 N.

On the one hand, when the tire passes over obstacles, for example in the form of pebbles, these obstacles risk perforating the tire until it reaches the crown reinforcement. These perforations allow corrosive agents to enter the crown reinforcement of the tire and reduce its service life.

On the other hand, it has been observed that the cables of the crown plies can present ruptures following deformations and relatively high forces exerted on the cable, in particular when the tire passes over obstacles.

The subject of the invention is a cable making it possible to reduce, or even eliminate, the number of breaks and the number of perforations.

To this end, the subject of the invention is a two-layer multi-strand cable, comprising:
- an internal layer of the cable consisting of K=3 or 4 two-layer internal strands comprising:
- an internal layer made up of Q= 2, 3 or 4 internal metal wires, and
- an outer layer made up of N outer metal wires of diameter d3 wound around the inner layer,
- an outer layer of the cable consisting of L>1 outer strands with three layers wound around the inner layer of the cable comprising:
- an inner layer consisting of Q' internal metal wire(s),
- an intermediate layer made up of M' intermediate metal wires wound around the internal layer, and
- an outer layer made up of N' outer metal wires wound around the intermediate layer, in which the cable has a surface fracture energy ES ≥ 165 N.mm ^-1 with ES= x x Cfrag / D where:
- is the sum of the breaking forces for the Nc wires in Newton;
- Nc=K x(Q+N)+L x(Q'+M'+N') is the total number of metal wires;
- D is the cable diameter in mm;
- is the sum of the total elongation of the Nc wires without unit;
- Cfrag is the unitless cable embrittlement coefficient with
where :
d3 is expressed in mm,
αf is the contact angle between the outer wires of 2 inner strands of the inner layer expressed in radians,
αt is the helix angle of each internal strand expressed in radians;
Cst = 1500 N.mm ^-2 .

Thanks to its relatively high surface breaking energy, the cable according to the invention makes it possible to reduce perforations and therefore to extend the life of the tire and also to reduce the number of breaks. Indeed, the inventors at the origin of the invention have discovered that the decisive criterion for reducing cable breaks was not only the breaking force as is widely taught in the state of the art but the energy with surface rupture represented in the present application by an indicator equal to the product of the force at rupture, the elongation at rupture and the embrittlement coefficient of the cable divided by the diameter of the cable.

The embrittlement coefficient makes it possible to take into account the loss of performance of the cable in tension due to the transverse embrittlement in the inter-wire contacts at the level of the external metallic wires between 2 strands of the internal layer, zones where the contact pressures are locally the highest. This embrittlement coefficient depends on the number of outer metal wires of the inner layer, the contact angle between 2 inner strands of the inner layer, the diameter d3 of the outer metal wires of the inner layer, the helix angle of each inner strand and the ultimate strength of an inner and outer strand. Thus a solid cable will have an embrittlement coefficient close to 1 and a weakened cable will have a non-optimal embrittlement coefficient, rather close to 0.5.

Indeed, the cables of the state of the art have either a relatively high breaking force but a non-optimal embrittlement coefficient, or an optimal embrittlement coefficient, that is to say close to 1 but a force at relatively weak rupture like example 2-3 of US20090205308. In both cases, the cables of the state of the art have a relatively low surface fracture energy. The cable according to the invention, because of its relatively high embrittlement coefficient and its breaking strength, has a relatively high surface breaking energy.

Any interval of values designated by the expression "between a and b" represents the range of values going from more than a to less than b (that is to say limits a and b excluded) while any interval of values designated by the expression “from a to b” means the range of values going from the limit “a” to the limit “b”, that is to say including the strict limits “a” and “b”.

By definition, the diameter of a strand is the diameter of the smallest circle in which the strand is circumscribed.

By definition, the diameter of the cable is the diameter of the smallest circle in which the cable is circumscribed without the hoop.

In the invention, the cable has two layers of strands, that is to say it comprises an assembly consisting of two layers of strands, neither more nor less, that is to say that the assembly has two layers of strands, not one, not three, but only two.

In one embodiment, the inner strand of the cable is surrounded by a polymer composition and then by the outer layer.

Advantageously, the internal strand has cylindrical layers.

Advantageously, each outer strand has cylindrical layers.

Very advantageously, the inner strand and each outer strand have cylindrical layers. It is recalled that such cylindrical layers are obtained when the different layers of a strand are wound at different pitches and/or when the winding directions of these layers are different from one layer to another. A strand with cylindrical layers is very highly penetrable unlike a strand with compact layers in which the pitches of all the layers are equal and the directions of winding of all the layers are identical which has a much lower penetrability.

The inner strand is two-layered. The inner strand comprises a yarn assembly consisting of two layers of yarn, no more and no less, that is, the yarn assembly has two layers of yarn, not one, not three, but only two.

The outer strand is three-layered. The outer strand comprises a wire assembly consisting of three layers of wires, no more and no less, that is, the wire assembly has three layers of wires, not two, not four, but only three.

It is recalled that, in a known way, the pitch of a strand represents the length of this strand, measured parallel to the axis of the cable, at the end of which the strand having this pitch performs a complete turn around the said axis of the cable. Similarly, the pitch of a wire represents the length of this wire, measured parallel to the axis of the strand in which it is located, at the end of which the wire having this pitch performs a complete turn around the said axis of the strand.

The winding direction of a layer of strands or wires means the direction formed by the strands or wires with respect to the axis of the cable or strand. The winding direction is commonly designated by the letter either Z or S.

Pitch, winding direction and diameters of wires and strands are determined in accordance with ASTM D2969-04 of 2014.

The contact angle between the external metal wires of 2 internal strands of the internal layer is the angle αf. It is one of the relevant parameters to determine the cable embrittlement coefficient because the lower the contact angle, the less the cable embrittlement.

The helix angle of each internal strand αt is a quantity well known to those skilled in the art and can be determined by the following calculation: tan αt = 2xπ x Ri/pi, formula in which pi is the pitch expressed in millimeters in which each internal strand is wound, Ri is the helix radius of each internal strand expressed in millimeters, and tan denotes the tangent function. αt is expressed in degrees.

By definition, the helix radius Re of the outer layer of the cable is the radius of the theoretical circle passing through the centers of the outer strands of the outer layer in a plane perpendicular to the axis of the cable.

The total elongation At, a quantity well known to those skilled in the art, is determined for example by applying the ASTM D2969-04 standard of 2014 to a yarn tested so as to obtain a force-elongation curve. The At is deduced from the curve obtained as the elongation, in %, corresponding to the projection on the axis of the elongations of the breaking point of the yarn on the force-elongation curve, i.e. the point at which the load increases up to a maximum breaking force value (Fm) then decreases sharply after the break. When the decrease relative to the Fm exceeds a certain threshold, this means that the wire has broken.

Preferably, the strands do not undergo preformation.

Advantageously, the cable is metallic. By definition, by metallic cable, we mean a cable made up of wires consisting mainly (i.e. for more than 50% of these wires) or entirely (for 100% of the wires) of a metallic material. Such a metallic material is preferably implemented with a steel material, more preferably pearlitic (or ferrito-pearlitic) carbon steel, hereinafter referred to as "carbon steel", or even stainless steel (by definition, steel comprising at least 11% chromium and at least 50% iron). But it is of course possible to use other steels or other alloys.

When a carbon steel is advantageously used, its carbon content (% by weight of steel) is preferably between 0.4% and 1.2%, in particular between 0.5% and 1.1%; these contents represent a good compromise between the mechanical properties required for the tire and the feasibility of the cords.

The metal or the steel used, whether in particular a carbon steel or a stainless steel, can itself be coated with a metallic layer improving, for example, the processing properties of the metal cable and/or its constituent elements, or the properties of use of the cable and/or of the tire themselves, such as the properties of adhesion, resistance to corrosion or else resistance to ageing. According to a preferred embodiment, the steel used is covered with a layer of brass (Zn-Cu alloy) or zinc.

Preferably, the wires of the same layer of a predetermined strand (internal or external) all have substantially the same diameter. Advantageously, the outer strands all have substantially the same diameter. By “substantially the same diameter”, it is meant that the wires or strands have the same diameter within industrial tolerances.

Advantageously, the internal strands are wound helically with a pitch pi ranging from 10 to 80 mm, preferably from 15 to 60 mm.

Advantageously, the outer strands are wound helically around the inner strand at a pitch pe ranging from 40 mm to 100 mm and preferably ranging from 50 mm to 90 mm.

The cable according to the invention has a much improved surface energy compared to the cable of the state of the art which has a surface energy of 150 N.mm ⁻¹ . The inventors at the origin of the invention hypothesize that the more inter-strand contacts there are and more particularly in the inter-strand zones which are the most stressful, that is to say the more contact there is between the external metal wires of the internal strands, the more the embrittlement force is diluted on the number of contacts. This contact force is dependent on the force that each strand can withstand, that is to say the cable force divided by the number of strands. In order to optimize these contacts, the inventors at the origin of the invention hypothesize that it is necessary to have good geometric properties of the contact and more precisely of the contact angle between the external metal wires of the internal strands to optimize contacts inside the cable.

Advantageously, ES ≥ 170 N.mm ^-1 , preferably ES ≥ 175 N.mm ^-1 and more preferably ES ≥ 180 N.mm ^-1 .

Advantageously, the breaking force Fr = x Cfrag is such that Fr≥25,000 N, preferably Fr≥26,000 N and more preferably Fr≥28,000 N. The breaking force is measured according to standard ASTM D2969-04. As described above, the cable has a relatively high breaking force so as to maximize the surface breaking energy.

The invention also relates to a cable extracted from a polymer matrix, the cable comprising:
- an internal layer of the cable consisting of K=3 or 4 two-layer internal strands comprising:
- an internal layer made up of Q = 2, 3 or 4 internal metal wires, and
- an outer layer made up of N outer metal wires of diameter d3 wound around the inner layer,
- an outer layer of the cable consisting of L>1 outer strands with three layers wound around the inner layer of the cable comprising:
- an inner layer consisting of Q' internal metal wire(s),
- an intermediate layer made up of M' intermediate metal wires wound around the internal layer and
- an external layer made up of N' external metal wires wound around the intermediate layer, in which the extracted cable has a breaking energy ES' ≥ 165 N.mm ^-1 with ES'= x x Cfrag' / D where:
- is the sum of the breaking forces for the Nc wires in Newton;
- Nc=K x(Q+N)+L x(Q'+M'+N') is the total number of metal wires;
- D is the cable diameter in mm;
- is the sum of the total elongation of the Nc wires without unit;
- Cfrag' is the cable embrittlement coefficient without unit with where :
Cp is the penetrability coefficient of the cable
d3 is expressed in mm,
αf is the contact angle between the outer wires of 2 inner strands of the inner layer expressed in radians,
αt is the helix angle of each inner strand expressed in radians;
Cst = 1500 N.mm ^-2 .

Preferably, ES' ≥ 170 N.mm ^-1 and preferably ES' ≥ 175 N.mm ^-1 .

The total elongation At of the extracted cable is measured in a similar way to the total elongation At of the cable defined above.

The embrittlement coefficient Cfrag’ takes into account the penetration of the cable by the polymer matrix using the inter-strand penetration coefficient Cp. To calculate this coefficient of penetration, a cross section of the cable extracted with a saw is made. This operation is repeated ten times to obtain ten cross sections on which an average penetration coefficient Cp will be calculated. The areas filled with the polymer composition of each cable extracted are then observed under an electron microscope, quantifying using image processing software the ratio of the non-metal surface without polymer composition to the surface filled with polymer composition. in the contact zone between the outer strands and the inner strand. Thus a well penetrated cable will have a penetration coefficient close to 1 and a less well penetrated cable will have a penetration coefficient close to 0.5.

Preferably, the polymer matrix is an elastomeric matrix.

The polymeric, preferably elastomeric, matrix is based on a polymeric, preferably elastomeric, composition.

By polymeric matrix is meant a matrix comprising at least one polymer. The polymer matrix is thus based on a polymer composition.

By elastomeric matrix is meant a matrix comprising at least one elastomer. The preferred elastomeric matrix is thus based on the elastomeric composition.

The expression "based on" should be understood to mean that the composition comprises the mixture and/or the in situ reaction product of the various constituents used, some of these constituents being able to react and/or being intended to react with one another, less partially, during the various phases of manufacture of the composition; the composition thus possibly being in the totally or partially crosslinked state or in the non-crosslinked state.

By polymeric composition, it is meant that the composition comprises at least one polymer. Preferably, such a polymer can be a thermoplastic, for example a polyester or a polyamide, a thermosetting polymer, an elastomer, for example natural rubber, a thermoplastic elastomer or a mixture of these polymers.

By elastomeric composition, it is meant that the composition comprises at least one elastomer and at least one other component. Preferably, the composition comprising at least one elastomer and at least one other component comprises an elastomer, a crosslinking system and a filler. The compositions that can be used for these sheets are conventional compositions for calendering filamentary reinforcing elements and comprise a diene elastomer, for example natural rubber, a reinforcing filler, for example carbon black and/or silica, a crosslinking, for example a vulcanization system, preferably comprising sulfur, stearic acid and zinc oxide, and optionally a vulcanization accelerator and/or retarder and/or various additives. The adhesion between the metal son and the matrix in which they are embedded is ensured for example by a metal coating, for example a layer of brass.

The values of the characteristics described in the present application for the extracted cable are measured on or determined from cables extracted from a polymeric, in particular elastomeric, matrix, for example from a tire. Thus, for example on a tire, the strip of material is removed radially outside the cable to be extracted so as to see the cable to be extracted radially flush with the polymer matrix. This removal can be done by shelling using pliers and knives or by planing. Then, the end of the cable to be extracted is released using a knife. Then, the cable is pulled so as to extract it from the matrix by applying a relatively small angle so as not to plasticize the cable to be extracted. The extracted cables are then cleaned carefully, for example using a knife, so as to detach the remains of the polymer matrix attached locally to the cable and taking care not to degrade the surface of the metal wires.

Advantageously, the extracted cable has a breaking force Fr' such that Fr'= x Cfrag′ such that Fr′≥24,000 N, preferably Fr′≥25,000 N and more preferably Fr′≥27,000 N. The breaking force is measured on the extracted cable according to standard ASTM D2969-04.

The advantageous characteristics described below apply equally to the cable as defined above and to the extracted cable.

Preferably, the cable has a diameter D such that D≤6.0 mm, preferably such that 5.0 mm≤D≤5.9 mm. The diameter D is measured on the cable according to the ASTM D2969-04 standard.

Preferably, αf is greater than or equal to 0° and preferably greater than or equal to 5°.

Preferably, αf is less than or equal to 25°.

Over this contact angle range from 0° to 25°, the contact area is maximum and the cable is relatively well penetrated by the polymer composition.

Preferably, αt is greater than or equal to 0° and preferably greater than or equal to 5°.

Preferably, αt is less than or equal to 20°, preferably less than or equal to 15° and more preferably less than or equal to 10°.

Over this helix angle range, the contact forces between the internal strands are minimized when the cable is pulled.

Advantageously, the outer layer of the inner strand is desaturated so that the inter-strand distance of the outer strands defined, on a section of the cable perpendicular to the main axis of the cable, as the shortest distance which separates, on average, the circular envelopes in which two adjacent external strands are inscribed is greater than or equal to 20 µm.

By definition, a desaturated layer is such that there is enough space between the yarns to allow the passage of a polymeric composition, preferably an elastomeric one. A desaturated layer means that the threads do not touch each other and that there is enough space between two adjacent threads allowing the passage of a polymeric composition, preferably an elastomeric one. On the other hand, a saturated layer is such that there is not enough space between the yarns of the layer to allow the passage of a polymeric composition, preferably an elastomeric one, for example because the yarns of the layer touch each other twice. together.

In another embodiment, the outer layer of the cable is saturated so that the inter-strand distance of the outer strands is strictly less than 20 μm.

In contrast, a saturated cable layer is such that the inter-strand distance of the outer strands is strictly less than 20 μm. The inter-strand distance of the outer layer of outer strands is defined, on a section of the cable perpendicular to the main axis of the cable, as the shortest distance which separates, on average, the circular envelopes in which two strands are inscribed adjacent exteriors. Thus, this construction of the cable makes it possible to ensure good architectural stability of the external layer and the saturation of the external layer makes it possible to ensure that the external layer comprises a relatively high number of external strands and therefore has a relatively high breaking strength. high.

The inter-strand distance E is the distance between the 2 centers of 2 adjacent external strands, points A and B as shown on the , minus the diameter of the outer strand.

Preferably, the wires of the same layer of a predetermined strand (internal or external) all have substantially the same diameter. Advantageously, the outer strands all have substantially the same diameter. By “substantially the same diameter”, it is meant that the wires or strands have the same diameter within industrial tolerances.

For this, by placing oneself in an orthonormal 2D reference, that is to say by following the transverse section of the cable, taking OA for the direction of the abscissa axis with O the center of the cable and in the case where the outer strands all have substantially the same diameter, the coordinates of the centers of 2 strands A and B are calculated: A= [Re _TE , 0], B= [Re _TE x cos (2π/L); ReTE x sin( 2π/L)] with L, the number of outer strands, Re _TE the helix radius of each outer strand expressed in millimetres.

The helix radius of each outer strand is calculated using the following formula: Re_YOU= max (Re_minTE; ReTEunsaturated) with
Re minTE is the winding radius obtained in the event of oversaturation of the layer. This is the minimum radius for all the strands to be in contact.
Re_min TE = 1/[( sin²(π/L)/D_YOU/2)²-cos²(π/L) x (2 π/pe)²]
with L: the number of external strands, pe is the pitch expressed in millimeters in which each external strand is wound and D_YOUthe diameter of the outer strand in mm, and
D_{unsaturated TE}corresponds to an unsaturated or strictly saturated architecture, Re_{unsaturated TE} =D_IT/2 + D_YOU/2 with DTI the diameter of the internal strand in mm and D_YOUthe diameter of the outer strand in mm.

The outer strand diameter is calculated as follows:
D _TE =2 x Re1' + d1' + 2 x d2' + 2 x d3' where Re1' is the winding radius of the inner layer of the outer strand, with
-if the internal layer of the external strand contains only 1 internal metal wire: Re1'= 0;
- Otherwise, Re1'= 1/[( sin ² (π/Q')/d1'/2) ² -cos ² (π/Q') x (2 π/p1') ² ]
with Q': the number of metal wires of the inner layer of the outer strand, d1' the diameter of the metal wires of the inner layer of the outer strand in mm and the pitch p1' is the pitch of the inner layer of the outer strand in mm .

Then we calculate the distance AB in a reference according to the following formula: AB= [(xb-xa)²+ (yb-ya)²]^1/2 and then we find the distance between strands in µm: E=AB-D_YOU/ cos (αt) x 1000 with D_YOUthe diameter of the outer strand and αt= atan (2 π ReTE /pe) is the helix angle of the outer strand, with pe is the pitch expressed in millimeters along which each outer strand is wound.

By definition, the inter-wire distance of a layer is defined, on a section of the cable perpendicular to the main axis of the cable, as the shortest distance which separates, on average, two adjacent wires of the layer.

The interwire distance of the layer is calculated as follows:
The winding radius of the outer layers of the outer strands is calculated: Re3'=Re1'+ d1'/2+ d2' + d3'/2
where Re1' is the winding radius of the inner layer of the outer strand as defined previously.

The distance between wires I3' is the distance between 2 centers of metal wires minus the wire diameter as presented on the , the calculation method is the same as for the external strands:
A'= [Re _3' , 0]
B'=[Re _3' x cos (2π/N');Re3' x sin( 2π/N')]
A'B'=[ (xb'-xa') ² + (yb'-ya') ² ] ^1/2

We thus find I3'= A'B'-d3'/cos(αC3') x 1000 with αC3' = atan(2 π R3'/p3') being the helix angle of the outer layer of the outer strand.

The sum SI3' is the sum of the inter-wire distances separating each pair of adjacent outer wires from the outer layer.

Advantageously, the distance between the wires of the outer layer of the inner strand is greater than or equal to 5 μm. Preferably, the distance between the wires of the outer layer of the inner strand is greater than or equal to 15 μm, more preferably greater than or equal to 35 μm, even more preferably greater than or equal to 50 μm and very preferably greater than or equal to 60 μm.

Preferably, the distance between wires of the outer layer of the inner strand is less than or equal to 100µm.

Advantageously, the sum SI3 of the inter-wire distances I3 of the outer layer of the inner strand is greater than the diameter d3 of the outer wires of the outer layer.

Advantageously, each strand is of the type that is not gummed in situ. By not gummed in situ, it is meant that before assembly of the strands together, each strand is made up of the wires of the different layers and devoid of polymeric composition, in particular of elastomeric composition.

Advantageously, the outer layer of each outer strand is desaturated.

Advantageously, the distance between the wires of the outer layer of each outer strand is greater than or equal to 5 μm. Preferably, the distance between the wires of the outer layer of each outer strand is greater than or equal to 15 μm, more preferably greater than or equal to 35 μm, even more preferably greater than or equal to 50 μm and very preferably greater than or equal to 60 μm.

Preferably, the distance between the wires of the outer layer of each outer strand is less than or equal to 100 µm.

Advantageously, the sum SI3' of the inter-wire distances I3' of the outer layer of each outer strand is greater than or equal to the diameter d3' of the outer wires of the outer layer.

Preferably, d1, d1', d2', d3, d3' range, independently of each other, from 0.12 mm to 0.40 mm and preferably from 0.15 mm to 0.38 mm.

In one embodiment, d1=d3 and d1'=d2'=d3' with d1>d1', it is possible to limit the number of different wires to be managed during the manufacture of the cable.

Preferably, the outer layer of the inner strand is wrapped around the inner layer of the inner strand in contact with the inner layer of the inner strand.

Advantageously, L=8, 9, 10 or 11, preferably L=9 or 10.

Preferably, K=3 and L=9.

Internal strand of the cable according to the invention

Q=2, 3 or 4.

Advantageously, N=7, 8, 9 or 10 and preferably N=7, 8 or 9.

In a first variant, Q=2, N=7 or 8.

In a second variant, Q=3, N=8 or 9.

In a third variant, Q=4, N=9 or 10.

Outer cable strands according to the invention

In one embodiment, Q'=1.

Advantageously, M'=3, 4, 5 or 6 and preferably M'=3 or 4.

Advantageously, N′=8, 9, 10,11 or 12 and preferably N′=8 or 9.

In another preferred embodiment, Q'>1, preferably Q'=2, 3 or 4.

Advantageously, M'=7, 8, 9 or 10 and preferably M'=7, 8 or 9.

Advantageously, N'=12, 13, 14 or 15 and preferably N'=12, 13 or 14.

In a first variant, Q'=2, M'=7 or 8 and N'=12 or 13.

In a second variant, Q'=3, M'=8 or 9 and N'=13 or 14.

In a third variant, Q'=4, M'=9 or 10 and N'=12, 13 or 14, preferably Q'=4, M'=9 and N'=14.

In one embodiment, Q=3 and N=8, Q'=1, M'= 3 and N'=8 or Q'=1, M'= 4 and N'=9 with d1=d3 and d2' =d3'.

In another embodiment, Q=3 and N=8 or Q=4 and N=9 and Q'=3, M'=9 and N'=14 with d1=d2 and d2'=d3'.

REINFORCED PRODUCT ACCORDING TO THE INVENTION

Another object of the invention is a reinforced product comprising a polymer matrix and at least one cable or extracted cable as defined above.

Advantageously, the reinforced product comprises one or more cables according to the invention embedded in the polymer matrix, and in the case of several cables, the cables are arranged side by side in a main direction.

PNEUMATIC ACCORDING TO THE INVENTION

Another object of the invention is a tire comprising at least one extracted cord or a reinforced product as defined above.

By tire comprising an extracted cable, is meant a tire comprising a cable whose properties, measured after extraction of the tire, are those of the extracted cable, this cable being, prior to its incorporation into the tire, a cable such as the cable described previously.

Preferably, the tire comprises a carcass reinforcement anchored in two beads and surmounted radially by a crown reinforcement itself surmounted by a tread, the crown reinforcement being joined to the said beads by two sidewalls and comprising at least one cable as defined above.

In a preferred embodiment, the crown reinforcement comprises a protective reinforcement and a working reinforcement, the working reinforcement comprising at least one cable as defined above, the protective reinforcement being radially interposed between the tread and the working frame.

The cable is particularly intended for industrial vehicles chosen from among heavy vehicles such as "Heavyweight" - i.e., metro, bus, road transport vehicles (trucks, tractors, trailers), off-road vehicles -, agricultural machinery or civil engineering, other transport or handling vehicles.

Preferably, the tire is for a vehicle of the civil engineering type. Thus, the tire has a dimension in which the diameter, in inches, of the seat of the rim on which the tire is intended to be mounted is greater than or equal to 40 inches.

The invention also relates to a rubber article comprising an assembly according to the invention, or an impregnated assembly according to the invention. By rubber article, we mean any type of rubber article such as a ball, a non-pneumatic object such as a non-pneumatic tire, a conveyor belt or a caterpillar.

The invention will be better understood on reading the examples which follow, given solely by way of non-limiting examples and made with reference to the drawings in which:
- the is a sectional view perpendicular to the circumferential direction of a tire according to the invention;
- the is a detail view of zone II of the ;
- the is a sectional view of a reinforced product according to the invention;
- the is a schematic sectional view perpendicular to the axis of the cable (assumed straight and at rest) of a cable (50) according to a first embodiment of the invention;
- the a schematic sectional view perpendicular to the axis of the cable (assumed straight and at rest) of an extracted cable (50') according to a first embodiment of the invention;
- the is a view analogous to that of a cable (60) according to a second embodiment of the invention;
- the is a view analogous to that of a cable (70) according to a third embodiment of the invention; and
- the is a schematic view of various geometric parameters of the cable.

EXAMPLE OF TIRE ACCORDING TO THE INVENTION

In FIGS. 1 and 2, an X, Y, Z mark has been shown corresponding to the usual axial (X), radial (Y) and circumferential (Z) orientations respectively of a tire.

The “median circumferential plane” M of the tire is the plane which is normal to the axis of rotation of the tire and which is located equidistant from the annular reinforcing structures of each bead.

There is shown in Figures 1 and 2 a tire according to the invention and designated by the general reference 10.

The tire 10 is for a heavy vehicle of the civil engineering type, for example of the “dumper” type. Thus, the tire 10 has a dimension of the 53/80R63 type.

The tire 10 comprises a crown 12 reinforced by a crown reinforcement 14, two sidewalls 16 and two beads 18, each of these beads 18 being reinforced with an annular structure, here a bead wire 20. The crown reinforcement 14 is surmounted radially by a tread 22 and joined to the beads 18 by the sidewalls 16. A carcass reinforcement 24 is anchored in the two beads 18, and is here wrapped around the two bead wires 20 and comprises a turn-up 26 arranged towards the outside of the tire 20 which is shown here mounted on a rim 28. The carcass reinforcement 24 is surmounted radially by the crown reinforcement 14.

The carcass reinforcement 24 comprises at least one carcass ply 30 reinforced by radial carcass cords (not shown). The carcass cords are arranged substantially parallel to each other and extend from one bead 18 to the other so as to form an angle of between 80° and 90° with the median circumferential plane M (plane perpendicular to the axis of rotation of the tire which is located halfway between the two beads 18 and passes through the middle of the crown reinforcement 14).

The tire 10 also comprises a sealing ply 32 consisting of an elastomer (commonly referred to as an inner rubber) which defines the radially internal face 34 of the tire 10 and which is intended to protect the carcass ply 30 from the diffusion of air coming from of the interior space to the tire 10.

The crown reinforcement 14 comprises, radially from the outside towards the inside of the tire 10, a protective reinforcement 36 arranged radially inside the tread 22, a working reinforcement 38 arranged radially inside of the protective reinforcement 36 and an additional reinforcement 40 arranged radially inside the working reinforcement 38. The protective reinforcement 36 is thus radially interposed between the tread 22 and the working reinforcement 38. The working reinforcement 38 is radially interposed between the protective reinforcement 36 and the additional reinforcement 40.

The protective reinforcement 36 comprises first and second protective layers 42, 44 comprising protective metal cables, the first layer 42 being arranged radially inside the second layer 44. Optionally, the protective metal cables make an angle at least equal to 10°, preferably ranging from 10° to 35° and preferably from 15° to 30° with the circumferential direction Z of the tire.

The working reinforcement 38 includes first and second working plies 46, 48, the first ply 46 being arranged radially inside the second ply 48. Each ply 46, 48 comprises at least one cable 50. Optionally , the metal working cords 50 are crossed from one working ply to the other and make an angle at most equal to 60°, preferably ranging from 15° to 40° with the circumferential direction Z of the tire.

The additional reinforcement 40, also called a limiter block, whose function is to partly take up the mechanical inflation stresses, comprises, for example and in a manner known per se, additional metal reinforcing elements, for example as described in FR 2,419,181 or FR 2,419,182 forming an angle at most equal to 10°, preferably ranging from 5° to 10° with the circumferential direction Z of the tire 10.

EXAMPLE OF A REINFORCED PRODUCT ACCORDING TO THE INVENTION

We represented on the a reinforced product according to the invention and designated by the general reference 100. The reinforced product 100 comprises at least one cable 50, in this case several cables 50, embedded in the polymer matrix 102.

On the , the polymer matrix 102, the cables 50 have been shown in an X, Y, Z coordinate system in which the Y direction is the radial direction and the X and Z directions are the axial and circumferential directions. On the , the reinforced product 100 comprises several cables 50 arranged side by side in the main direction X and extending parallel to each other within the reinforced product 100 and collectively embedded in the polymer matrix 102.
Here, the polymer matrix 102 is an elastomeric matrix based on an elastomeric composition.

CABLE ACCORDING TO A FIRST EMBODIMENT OF THE INVENTION

We represented on the the cable 50 according to a first embodiment of the invention.

With reference to the , each protection reinforcing element 43, 45 and each hooping reinforcing element 53, 55 is formed, after extraction of the tire 10, by an extracted cord 50' as described below. The cable 50 is obtained by embedding in a polymer matrix, in this case in a polymer matrix respectively forming each polymer matrix of each protective ply 42, 44 and of each hooping layer 52, 54 in which the reinforcing elements are respectively embedded protection 43, 45 and hooping 53, 55.

The 50 cable and the 50' extracted cable are metallic and of the multi-strand type with two cylindrical layers. Thus, it is understood that the layers of strands constituting the cable 50 or 50′ are two in number, no more, no less.

The 50 cable or the 50' cable comprises an internal layer CI of the cable consisting of K=3 internal strands TI. The outer layer CE consists of L>1 outer strands TE wound around the inner layer CI of the cable. In this case, L= 8, 9, 10 or 11 preferably L=9 or 10, and here L=9.

The cable 50 has a surface breaking energy:

ES= x x Cfrag / D = (3 x (3+8) x 310+ 9 x( 3 x 186 +(9+14)x 151) x 0.027 /5.44 = 203 N.mm ^{- 1} .

Fr = x Cfrag= (3 x (3+8) x 310+ 9 x( 3 x 186 +(9+14)x 151) x 0.880 = 40919 N.

Cable 50 also includes a hoop F, not shown, consisting of a single hoop wire.

The 50' extracted cable has a surface rupture energy:

ES'= x x Cfrag' = (3 (1 x 37+ (3+8) x 310+ 9 x(3+8)x 310) x 0.027 /5.44 = 189 N.mm ^-1 .

To calculate Cp, the ratio of the non-metal surface without polymer composition to the surface filled with polymer composition in the contact zone Scp between the external strands and the internal strand is determined using software. Here the ratio averaged over 10 transverse sections is equal to 0.5.

En' = x Cfrag'= ( ) x 0.820 = 38124 N.

The outer layer of the 50 and 50' cables is desaturated. Thus, the inter-strand distance E of the outer strands is greater than 20 μm. Here E=85 µm.

αf is greater than or equal to 0° and preferably greater than or equal to 5° and less than or equal to 25°. Here αf=22.9°.

αt is greater than or equal to 0° and preferably greater than or equal to 5° and less than or equal to 20°, preferably less than or equal to 15° and more preferably less than or equal to 10°. Here αt = 6.0°.

T oron s internal s TI d are cable s 50 and 50'

Each inner strand TI has two layers and comprises an inner layer C1 consisting of Q=3 inner metal wires F1 and an outer layer C3 consisting of N outer metal wires F3 wound around the inner layer C1.

Q>1, preferably Q=2, 3 or 4. Here Q=3.

Advantageously, N=7, 8, 9 or 10 and preferably N=7, 8 or 9. Here N=8.

The outer layer C3 of each inner strand TI is desaturated. The distance between the wires of the outer layer of the inner strand is greater than or equal to 15 μm, more preferably greater than or equal to 35 μm and here equal to 66 μm. The sum SI3 of the inter-wire distances I3 of the outer layer C3 is greater than the diameter d3 of the outer wires F3 of the outer layer C3. Here, the sum SI3= 0.066 x 8 = 0.53 mm, value greater than d3=0.348 mm.

d1 and d3 range from 0.12 mm to 0.40 mm. Here d1=d3=0.348 mm.

T oron s external TE of 50 and 50' cables

Each outer strand TE has three layers and comprises an inner layer C1' consisting of Q'= 2, 3 or 4 inner metal wires F1' and an outer layer C3' consisting of N' outer metal wires F3' wound around the layer internal C1'.

Q'>1, preferably Q'=2, 3 or 4. Here Q'=3

Advantageously, M′=7, 8, 9 or 10 and preferably M′=7, 8 or 9. Here M=9.

Advantageously, N'=12, 13, 14 or 15 and preferably N'=12, 13 or 14. Here N'=14.

The external layer C3' of each external TE strand is desaturated. Being desaturated, the interwire distance I3' of the outer layer C3' separating on average the N' outer wires is greater than or equal to 5 μm. The interwire distance I3' of the outer layer of each outer strand is greater than or equal to 15 μm, more preferably greater than or equal to 35 μm and here equal to 42 µm. The sum SI3' of the inter-wire distances I3' of the outer layer C3' is greater than the diameter d3' of the outer wires F3' of the outer layer C3'. Here, the sum SI3'= 0.042 x 14= 0.59 mm, value greater than d3'=0.228 mm.

Each inner and outer layer C1', C3' of each outer strand TE is wound in the same winding direction of the cable and of the inner and outer layers C1, C3 of the inner strand TI. Here the winding direction of each layer of the cable and cable is Z.

d1', d2' and d3' range from 0.12 mm to 0.40 mm. Here d1'=0.255 mm and d2'=d3'=0.228 mm.

The 50 and 50' cables are such that Q=3 and N=8; Q'= 3, M'=9 and N'=14, and d1 =d3 and d2'=d3'.

At least 50% of the metal wires, preferably at least 60%, more preferably at least 70% of the metal wires, and very preferably each metal wire of the cable comprises a steel core having a composition in accordance with standard NF EN 10020 of September 2000 and a carbon content C > 0.80% and preferably C ≥ 0.82% and at least 50% of the metal wires, preferably at least 60%, more preferably at least 70% of the metal wires, and very preferably each metal wire of the cable comprises a steel core having a composition in accordance with standard NF EN 10020 of September 2000 and a carbon content C ≤ 1.20% and preferably C ≤ 1.10%. Here each metal wire comprises a steel core having a composition in accordance with standard NF EN 10020 of September 2000 and a carbon content C= 1%.

Each wire has a breaking strength, denoted Rm, such that 2500≤Rm≤3100 MPa. The steel of these wires is said to be of grade SHT (“Super High Tensile”). Other yarns can be used, for example yarns of lower grade, for example of grade NT (“Normal Tensile”) or HT (“High Tensile”), like yarns of higher grade, for example of grade UT (“ Ultra Tensile”) or MT (“Mega Tensile”).

METHOD FOR MANUFACTURING THE CABLE ACCORDING TO THE INVENTION

We will now describe an example of the manufacturing process for the multi-strand cable 50.

Each internal strand previously described is manufactured according to known processes comprising the following steps, preferably carried out in line and continuously:
- First of all, a first assembly step by cabling or twisting of the Q=3 internal threads F1 of the internal layer C1 at pitch p1 and in the direction Z to form the internal layer C1 at a first assembly point;
- followed by a second assembly step by cabling or twisting of the N=8 external threads F3 around the Q internal threads F1 of the internal layer C1 at pitch p3 and in the Z direction to form the external layer C3 at a second point assembly;
- preferably a final balancing step of the twists.

Each external strand previously described is manufactured according to known processes comprising the following steps, preferably carried out in line and continuously:
- first of all, a first assembly step by cabling or twisting of the Q'= 3 internal wires F1' of the internal layer C1' at pitch p1' and in the direction Z to form the internal layer C1' in a first assembly point;
- followed by a second assembly step by cabling or twisting of the M'=9 intermediate threads F2' around the internal thread F1' of the internal layer C1 at pitch p2 and in the direction Z to form the intermediate layer C2 in one second assembly point;
- followed by a third assembly step by cabling or twisting of the N'=14 external threads F3' around the M' intermediate threads F2' of the intermediate layer C2' at pitch p3' and in the direction Z to form the layer outer C3' at a third assembly point;
- preferably a final balancing step of the twists.

By "torsional balancing" is meant here in a manner well known to those skilled in the art the cancellation of the residual torsional torques (or the elastic return of torsion) exerted on each wire of the strand, in the intermediate layer as in the outer layer.

After this final torsion balancing step, the manufacture of the strand is complete. Each strand is wound on one or more receiving spools, for storage, before the subsequent assembly operation by cabling the elementary strands to obtain the multi-strand cable.

For the manufacture of the multi-strand cable of the invention, one proceeds in a manner well known to those skilled in the art, by wiring or twisting the strands previously obtained, using wiring or twisting machines dimensioned to assemble strands .

In a step of manufacturing the internal layer CI, the K internal strands TI are assembled by wiring at pitch pi and in the direction S to form the internal layer CI at a first assembly point.

Then, in a subsequent manufacturing step, the L external strands TE are assembled by wiring around the internal layer CI at pitch pe and in the direction Z to form the assembly of the layers CI and CE. Possibly, in a last assembly step, the hoop F is wound at pitch pf in the direction S around the assembly obtained previously.

The cord 50 is then incorporated by calendering into composite fabrics formed from a known composition based on natural rubber and carbon black as reinforcing filler, conventionally used for the manufacture of crown reinforcements for radial tires. This composition essentially comprises, in addition to the elastomer and the reinforcing filler (carbon black), an antioxidant, stearic acid, an extender oil, cobalt naphthenate as adhesion promoter, finally a vulcanization system (sulphur, accelerator, ZnO).

The composite fabrics reinforced by these cables comprise a matrix of elastomeric composition formed of two thin layers of elastomeric composition which are superimposed on either side of the cables and which respectively have a thickness ranging from 1 and 4 mm. The calendering pitch (no laying of the cables in the fabric of elastomeric composition) ranges from 4 mm to 8 mm.

These composite fabrics are then used as a working ply in the crown reinforcement during the tire manufacturing process, the steps of which are moreover known to those skilled in the art.

CABLE ACCORDING TO A SECOND EMBODIMENT OF THE INVENTION

We represented on the a cable 60 according to a second embodiment of the invention.

Unlike the first embodiment described above, the cable 60 according to the second embodiment is such that Q=4 and N=9.

CABLE ACCORDING TO THIRD MODE FOR CARRYING OUT THE INVENTION

We represented on the a cable 70 according to a third embodiment of the invention.

Unlike the first embodiment described above, the cable 70 according to the third embodiment is such that Q'1, M'=3 and N'=8.

Table 1 below summarizes the characteristics for the different cables 50, 50', 60 and 70.

Cables 50 50' 60 70

IT

Q/N 3/8 3/8 4/9 3/8 d1/d3 0.348/0.348 0.348/0.348 0.348/0.348 0.348/0.348 direction C1/pitch p1 (mm) Z/7.7 Z/7.7 Z/7.7 Z/10 direction C3/pitch p3 (mm) Z/15.4 Z/15.4 Z/15.4 Z/20 I3(µm)/SI3(mm) 66/0.53 66/0.53 52/0.47 69/0.55 YOU Q'/M'/N' 3/9/14 3/9/14 3/9/14 1/3/8 d1’/d2’/ d3’ 0.255/0.228/0.228 0.255/0.228/0.228 0.255/0.228/0.228 0.123/0.348/0.348 direction C1’/pitch p1’ (mm) Z/6 Z/6 Z/6 Z/inf direction C2’/pitch p2’ (mm Z/12 Z/12 Z/12 Z/10 direction C3’/pitch p3’ (mm) Z/18 Z/18 Z/18 Z/20 I2'(µm)/SI2'(mm) 34/0.31 34/0.31 34/0.31 67/0.20 I3'(µm)/SI3'(mm) 42/0.59 42/0.59 42/0.59 95/0.76 Cable/ft/pe direction Z/50/80 Z/50/80 Z/50/80 Z/50/80 K 3 3 3 3 L 9 9 9 9 E (µm) 85 85 153 48 Fm wires at 0.123 mm (N) - - - 38
Fm wires at 0.255 mm (N) 186 186 186 - Fm wires at 0.228 mm (N) 151 151 151 - Fm wires at 0.26mm (N) - - - - Fm wires at 0.348 mm (N) 310 310 310 310 D (mm) 5.44 5.44 5.62 5.53 Moy At Son 0.027 0.027 0.027 0.027 αf (°) 22.9 22.9 25.0 17.1 αt (°) 6.0 6.0 6.4 6.0 CFrag 0.880 - 0.866 0.916 Penetration coefficient - 0.500 - - Cfrag’ - 0.820 - - Fr (N) 40919 - 41882 37816 Fr’ (N) - 38124 - - ES (N.mm ^-1 ) 203 - 201 184 ES'(N.mm ^-1 ) - 189 -

COMPARATIVE TESTS

Evaluation of surface fracture energy

Various state-of-the-art cables were simulated.

Table 2 summarizes the characteristics of the cable of the state of the art EDT (example 2-3 of US20090205308).

Cables EDT EDT'

IT

Q/N 3/9 3/9 d1/d3 0.195/0.195 0.195/0.195 direction C1/pitch p1 (mm) Z/6 Z/6 direction C3/pitch p3 (mm) Z/12 Z/12 I3(µm)/SI3(mm) 13/0.12 13/0.12 YOU Q'/M'/N' 3/9/15 3/9/15 d1'/d2'/d3' 0.175/0.175/0.175 0.175/0.175/0.175 direction C1’/pitch p1’ (mm) Z/5 Z/5 direction C2’/pitch p2’ (mm Z/10 Z/10 direction C3’/pitch p3’ (mm) Z/15 Z/15 I2'(µm)/SI2'(mm) 12/0.11 12/0.11 I3'(µm)/SI3'(mm) 10/0.15 10/0.15 Cable/ft/pe direction Z/40/50 Z/40/50 K 3 3 L 8 8 E (µm) 0 0 Fm son 0.175(N) 92 92 Fm son 0.195(N) 113 113 D (mm) 3.91 3.91 Moy At Son 0.027 0.027 αf (°) 16.6 16.6 αt (°) 4.2 4.2 CFrag 0.910 - Penetration coefficient - 0.400 Cfrag’ - 0.855 Fr (N) 21776 - Fr’ (N) - 20477 ES (N.mm ^-1 ) 150 - ES'(N.mm ^-1 ) - 141

Tables 1 and 2 show that the cables 50, 50', 60 and 70 have an improved surface breaking energy compared to the cables of the prior art EDT and EDT'. In fact, the EDT and EDT' cords have a relatively high embrittlement coefficient but a relatively low breaking force leading to insufficient surface breaking energy to reduce the number of breaks and the number of perforations of the cords in the tire. Thus the cables according to the invention have a surface breaking energy ES≥165 N.mm ⁻¹ high enough to remedy these drawbacks.

The invention is not limited to the embodiments previously described.

Claims (15)

Two-layer multi-strand cable (50), comprising:
- an internal layer (CI) of the cable consisting of K=3 or 4 internal strands (TI) with two layers (C1, C3) comprising:
- an internal layer (C1) consisting of Q= 2, 3 or 4 internal metal wires (F1), and
- an outer layer (C3) consisting of N outer metal wires (F3) of diameter d3 wound around the inner layer (C1),
- an outer layer (CE) of the cable consisting of L>1 outer strands (TE) with three layers (C1', C2', C3') wound around the inner layer (CI) of the cable comprising:
- an internal layer (C1') consisting of Q' internal metal wire(s) (F1'),
- an intermediate layer (C2') made up of M' intermediate metal wires (F2') wound around the internal layer (C1'), and
- an outer layer (C3') consisting of N' outer metal wires (F3') wound around the intermediate layer (C2'),
characterized in that
the cable (50) has a surface breaking energy ES ≥ 165 N.mm ^-1 with ES= x x Cfrag / D where:
- is the sum of the breaking forces for the Nc wires in Newton;
- Nc=K x(Q+N)+L x(Q'+M'+N') is the total number of metal wires;
- D is the cable diameter in mm;
- is the sum of the total elongation of the Nc wires without unit;
- Cfrag is the cable embrittlement coefficient (50) without unit with
where :
d3 is expressed in mm,
αf is the contact angle between the outer metal wires (F3) of 2 inner strands (TI) of the inner layer (CI) expressed in radians,
αt is the helix angle of each internal strand (TI) expressed in radians;
Cst = 1500 N.mm ^-2 . Cable (50) according to the preceding claim, in which ES ≥ 170 N.mm ^-1 , preferably ES ≥ 175 N.mm ^-1 and more preferably ES ≥ 180 N.mm ^-1 . Cable (50) according to any one of the preceding claims, having a breaking force Fr = x Cfrag such that Fr ≥ 25,000 N, preferably Fr ≥ 26,000 N and more preferably Fr ≥ 28,000 N. Cable extracted (50') from a polymer matrix, the cable extracted (50') comprising:
- an internal layer (CI) of the cable consisting of K=3 or 4 internal strands (TI) with two layers (C1, C3) comprising:
- an internal layer (C1) consisting of Q=2, 3 or 4 internal metal wires (F1), and
- an outer layer (C3) consisting of N outer metal wires (F3) of diameter d3 wound around the inner layer (C1),
- an outer layer (CE) of the cable consisting of L>1 outer strands (TE) with three layers (C1', C2', C3') wound around the inner layer (CI) of the cable comprising:
- an internal layer (C1') consisting of Q' internal metal wire(s) (F1'),
- an intermediate layer (C2') made up of M' intermediate metal wires (F2') wound around the internal layer (C1'), and
- an outer layer (C3') consisting of N' outer metal wires (F3') wound around the intermediate layer (C2'),
characterized in that
the extracted cable (50') has an energy at break ES' ≥ 165 N.mm ^-1 with ES'= x x Cfrag' / D where:
- is the sum of the breaking forces for the Nc wires in Newton;
- Nc=K x(Q+N)+L x(Q'+M'+N') is the total number of metal wires;
- D is the cable diameter in mm;
- is the sum of the total elongation of the Nc wires without unit;
- Cfrag' is the embrittlement coefficient of the cable (50') without unit with where :
Cp is the penetrability coefficient of the cable
d3 is expressed in mm,
αf is the contact angle between the outer metal wires (F3) of 2 inner strands (TI) of the inner layer (CI) expressed in radians,
αt is the helix angle of each inner strand (TI) expressed in radians;
Cst = 1500 N.mm ^-2 . Extracted cable (50') according to the preceding claim, in which ES' ≥ 170 N.mm ^-1 and preferably ES' ≥ 175 N.mm ^-1 . Cable (50, 50') according to any one of the preceding claims, in which the diameter D of the cable (50, 50') is such that D ≤ 6.0 mm, preferably such that 5.0 mm ≤ D ≤ 5.9mm. Cable (50, 50') according to any one of the preceding claims, in which αf is greater than or equal to 0° and preferably greater than or equal to 5°. Cable (50, 50') according to any one of the preceding claims, in which αf is less than or equal to 25°. Cable (50, 50') according to any one of the preceding claims, in which αt is greater than or equal to 0° and preferably greater than or equal to 5°. Cable (50, 50') according to any one of the preceding claims, in which αt is less than or equal to 20°, preferably less than or equal to 15° and more preferably less than or equal to 10°. Cable (50, 50') according to any one of the preceding claims, in which the outer layer (CE) of the cable is desaturated so that the inter-strand distance of the outer strands defined, on a section of the cable perpendicular to the main axis of the cable (50), as the shortest distance which separates, on average, the circular envelopes in which are inscribed two adjacent external strands (TE) is greater than or equal to 20 µm. Cable (50, 50') according to any one of the preceding claims, in which the outer layer (C3) of the inner strand (TI) is desaturated. Cable (50, 50') according to any one of the preceding claims, in which the outer layer (C3') of each outer strand (TE) is desaturated. Reinforced product (100), characterized in that it comprises a polymer matrix (102) and at least one extracted cable (50') according to any one of Claims 4 to 13. Tire (10), characterized in that it comprises at least one extracted cord (50') according to any one of Claims 4 to 13 or a reinforced product according to Claim 14.