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CN107907098A - Complexes and its implementation for the test of soil body three dimensional strain - Google Patents

Complexes and its implementation for the test of soil body three dimensional strain Download PDF

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CN107907098A
CN107907098A CN201711435186.3A CN201711435186A CN107907098A CN 107907098 A CN107907098 A CN 107907098A CN 201711435186 A CN201711435186 A CN 201711435186A CN 107907098 A CN107907098 A CN 107907098A
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mtd
mtr
strain
mrow
msub
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CN107907098B (en
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李顺群
刘烨璇
陈之祥
柴寿喜
白云凤
张翻
张伟
程宇
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Tianjin Chengjian University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/32Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring the deformation in a solid

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  • General Physics & Mathematics (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)
  • Measurement Of Length, Angles, Or The Like Using Electric Or Magnetic Means (AREA)

Abstract

本发明提供一种用于土体三维应变测试的成套装置,包括三维应变花、数据导线、圆筒杆状放置装置。同时提供了一种用于土体三维应变测试的成套设备的实施方法。本发明的有益效果是能将三维应变土块以固有角度和深度放入待测点,提高了测试结果的精确性,对于分析土体受力后的稳定性及评价工程安全等级有着不可代替的作用。通过实际测定和比较,本类装置能够提高三维应变装置测试精度的79%~85%。因此该实施方法有着十分重要的现实意义和工程应用价值。

The invention provides a complete set of equipment for three-dimensional strain testing of soil, which includes a three-dimensional strain rosette, a data wire, and a cylindrical rod-shaped placement device. At the same time, it provides an implementation method of a complete set of equipment for soil three-dimensional strain testing. The beneficial effect of the present invention is that the three-dimensional strained soil block can be put into the point to be measured at an inherent angle and depth, which improves the accuracy of the test result and has an irreplaceable role in analyzing the stability of the soil after being stressed and evaluating the safety level of the project. effect. Through actual measurement and comparison, this type of device can improve the test accuracy of the three-dimensional strain device by 79% to 85%. Therefore, this implementation method has very important practical significance and engineering application value.

Description

用于土体三维应变测试的成套装置及其实施方法Complete set of equipment for three-dimensional strain testing of soil and its implementation method

技术领域technical field

本发明属于岩土工程中土体中应变测试领域的一种用于土体三维应变测试的成套装置及其实施方法,可用于检测基坑工程中基坑侧壁及基坑坑底变形,以及测试土体中某一点由附加应力引起的变形。The invention belongs to the field of soil strain testing in geotechnical engineering, and relates to a complete set of equipment for soil three-dimensional strain testing and an implementation method thereof, which can be used to detect the deformation of the side wall of the foundation pit and the bottom of the foundation pit in foundation pit engineering, and To test the deformation of a point in the soil caused by the added stress.

背景技术Background technique

土体在外部荷载改变的情况下,土体内部的相对位置关系也会发生改变,通常我们把这种相对位置的改变称之为应变。土体的应变测量是工程中的一项基础性工作,对于计算分析土体的变形特点,评估土体工程的安全等级,有着十分重要的作用。土体变形对于工程结构稳定性具有极大的影响,例如:土体渗透变形对于堤坝工程安全性的影响,岸坡土体变形对于港口码头的影响,上部的荷载情况对于地下隧道开挖的影响等。因此,测出土体的一般应变状态和主应变、剪应变等,对于工程灾害的防御具有十分重要的现实意义。When the external load of the soil changes, the relative positional relationship inside the soil will also change, and we usually call this change in relative position strain. The strain measurement of soil is a basic work in engineering, which plays a very important role in calculating and analyzing the deformation characteristics of soil and evaluating the safety level of soil engineering. Soil deformation has a great impact on the stability of engineering structures, such as: the impact of soil seepage deformation on the safety of embankment projects, the impact of bank slope soil deformation on port wharves, and the impact of upper load conditions on underground tunnel excavation Wait. Therefore, measuring the general strain state, principal strain and shear strain of the soil has very important practical significance for the defense of engineering disasters.

专利201410740140.2、专利201610917550.9和专利201610964552.3均公开一种用于测试土体内部三维应变状态的装置及测试方法。在具体实施过程中发现,该装置提供的测试装置和方法无法确定三维应变装置的埋设深度和角度,从而得不到土体实际的应变。同时,三维应变装置的埋设角度和位置与其计算精度紧密相关,故急需要一种用于土体三维应变测试的成套装置及其实施方法,有利于对于实现三维应变花在原状土体的应用发挥重要的作用。Patent 201410740140.2, Patent 201610917550.9 and Patent 201610964552.3 all disclose a device and testing method for testing the three-dimensional strain state inside the soil. During the implementation process, it was found that the test device and method provided by the device cannot determine the embedding depth and angle of the three-dimensional strain device, so that the actual strain of the soil cannot be obtained. At the same time, the embedding angle and position of the three-dimensional strain device are closely related to its calculation accuracy, so there is an urgent need for a complete set of devices for three-dimensional strain testing of soil and its implementation method, which is conducive to the realization of the application of three-dimensional strain rosettes in undisturbed soil. important role.

发明内容Contents of the invention

本发明目的是提供一种用于土体三维应变测试的成套装置及其实施方法,能够用于土体三维应变测试的成套使用,该装置操作简单、能有效的测试土体的应变的优势。The purpose of the present invention is to provide a complete set of equipment for three-dimensional strain testing of soil and its implementation method, which can be used in a complete set of three-dimensional strain testing of soil. The device has the advantages of simple operation and effective testing of soil strain.

为了实现上述目的,本发明提供一种用于土体三维应变测试的成套装置,其中:该装置包括:三维应变花、数据导线、应变花制作盒、导杆。In order to achieve the above object, the present invention provides a complete set of equipment for three-dimensional strain testing of soil, wherein: the device includes: three-dimensional strain rosettes, data wires, strain rosette manufacturing boxes, and guide rods.

同时提供一种用于土体三维应变测试的成套装置的实施方法。At the same time, it provides an implementation method of a complete set of equipment for soil three-dimensional strain testing.

本发明解决了三维土体应变测试装置难以在原状土中应用的不足,通过土体应变测试的成套装置及其实施方法测试出土体的应变,对于分析土体受力后的稳定性及评价工程安全等级有着不可代替的作用。通过实际测定和比较,本类装置能够提高三维应变装置测试精度的79%~85%。因此,本发明的一种用于土体三维应变测试的成套装置的实施方法有着十分重要的现实意义和工程应用价值。The invention solves the problem that the three-dimensional soil strain test device is difficult to apply in the undisturbed soil, and the soil strain is tested through the complete set of soil strain test device and its implementation method, which is useful for analyzing the stability of the soil after stress and evaluating engineering The security level plays an irreplaceable role. Through actual measurement and comparison, this type of device can improve the test accuracy of the three-dimensional strain device by 79% to 85%. Therefore, the implementation method of a complete set of equipment for soil three-dimensional strain testing of the present invention has very important practical significance and engineering application value.

附图说明Description of drawings

图1本发明涉及的应变花制作盒示意图;Fig. 1 schematic diagram of the box for making rosettes involved in the present invention;

图2本发明涉及的三维应变土块示意图;Fig. 2 schematic diagram of the three-dimensional strained soil block involved in the present invention;

图3本发明的放置装置夹头结构示意图;Fig. 3 is a schematic structural view of the chuck of the placement device of the present invention;

图4本发明的放置装置外筒及外筒帽结构示意图;Fig. 4 is a structural schematic diagram of the outer cylinder and the outer cylinder cap of the placement device of the present invention;

图5本发明的放置装置内杆及螺帽结构示意图;Fig. 5 is a structural schematic diagram of the inner rod and the nut of the placement device of the present invention;

图6本发明的放置装置结构示意图;Fig. 6 is a structural schematic diagram of the placement device of the present invention;

图7本发明的利用放置装置放置三维应变土块正视图;Fig. 7 is a front view of placing three-dimensional strained soil blocks by using the placement device of the present invention;

图8本发明的利用放置装置放置三维应变土块俯视图。Fig. 8 is a top view of placing three-dimensional strained soil blocks by using the placing device of the present invention.

图中:In the picture:

1.三维应变花 2.数据导线 3.应变花制作盒 4.导杆1. Three-dimensional rosette 2. Data wire 3. Rosette making box 4. Guide rod

5.三维应变土块 41.夹头 42.内杆 43.外筒5. Three-dimensional strained soil block 41. Chuck 42. Inner rod 43. Outer cylinder

44.外筒帽 45.螺帽 46.螺纹 47.螺纹槽44. Outer cylinder cap 45. Nut 46. Thread 47. Thread groove

411.弹簧 441.圆孔411. Spring 441. Round hole

具体实施方式Detailed ways

结合附图对本发明的用于土体三维应变测试的成套装置及其实施方法进行说明。The complete device for soil three-dimensional strain test and its implementation method of the present invention will be described in conjunction with the accompanying drawings.

本发明的设计思想是如何将三维应变花以规定的测试角度放入测试点,且保持三维应变花的形状不变。基于小型试样制作精度容易控制的思路,将三维应变花1置入应变花制作盒3中,用土体将应变花制作盒3与三维应变花1之间的空隙填充密实,即形成三维应变土块5,如图2所示。再用放置装置将三维应变土块5放入测试点。The design idea of the present invention is how to put the three-dimensional strain rosette into the test point at a specified test angle, and keep the shape of the three-dimensional strain rosette unchanged. Based on the idea that the manufacturing accuracy of small samples is easy to control, the three-dimensional strain rosette 1 is placed in the rosette production box 3, and the gap between the strain rosette production box 3 and the three-dimensional strain rosette 1 is filled with soil to form a three-dimensional strain gauge. Soil block 5, as shown in Figure 2. Then use the placement device to put the three-dimensional strained soil block 5 into the test point.

为此,本发明的用于土体三维应变测试的成套装置结构是,该成套装置与应变采集箱相连接,该成套装置包括有测试装置、放置装置,所述测试装置包括三维应变花1、数据导线2、应变花制作盒3,所述的应变花制作盒3是长宽高均为15cm的无盖正方体形状,三维应变花1置入应变花制作盒3内,在应变花制作盒3与三维应变花1之间的空隙填充土体,即形成一个三维应变土块5,三维应变花1的多根应变杆导线汇总为一根数据导线2,数据导线2与所述应变采集箱的接头连接,组成了测试装置;导杆4即为放置装置;导杆4的夹头41夹住三维应变土块5形成成套装置。如图1所示。For this reason, the structure of the complete set of devices used for soil three-dimensional strain testing of the present invention is that the complete set of devices is connected with the strain collection box, the complete set of devices includes a test device and a placement device, and the test device includes a three-dimensional strain rosette 1, Data wire 2, strain rosette making box 3, described strain rosette making box 3 is the shape of a cube without a cover whose length, width and height are 15cm, the three-dimensional strain rosette 1 is placed in the strain rosette making box 3, and the strain rosette making box 3 The gap between the three-dimensional strain rosette 1 is filled with the soil body, that is, a three-dimensional strain soil block 5 is formed, and the multiple strain rod wires of the three-dimensional strain rosette 1 are aggregated into one data wire 2, and the data wire 2 is connected to the strain collection box. The joints are connected to form a test device; the guide rod 4 is the placement device; the chuck 41 of the guide rod 4 clamps the three-dimensional strained soil block 5 to form a complete set of devices. As shown in Figure 1.

将三维应变花1置入应变花制作盒3中,用土体将应变花制作盒3与三维应变花1之间的空隙填充密实,即形成三维应变土块5,数据导线2与三维应变土块5连接,如图2所示。所述导杆4包括有:夹头41、内杆42、外筒43、外筒帽44、螺帽45组成,如图6所示。内杆42的上端设置有螺纹46,内杆42的下端设置有螺纹槽47,如图5所示。外筒43的上端设置有螺纹46,外筒43的下端设置有螺纹槽47,所述外筒帽44为帽状且内壁设置有螺纹槽47,外筒帽44的冒顶设置有圆孔441,如图4所示。所述夹头41上端设置有螺纹46,且夹头41的连接处装有弹簧411,如图3所示。将外筒43上端的螺纹46与外筒帽44的螺纹槽47相连接,将夹头41尾端的螺纹46与内杆42下端的螺纹槽47相连接,将内杆42上端穿过外筒43和外筒帽44的圆孔441,并将螺帽45与内杆42上端连接,即形成导杆4,如图6所示。Put the three-dimensional strain rosette 1 into the strain rosette making box 3, and fill the gap between the strain rosette making box 3 and the three-dimensional strain rosette 1 with soil to form a three-dimensional strained soil block 5, and the data wire 2 and the three-dimensional strained soil Block 5 is connected as shown in Figure 2. The guide rod 4 includes: a collet 41, an inner rod 42, an outer cylinder 43, an outer cylinder cap 44, and a nut 45, as shown in FIG. 6 . The upper end of the inner rod 42 is provided with a thread 46 , and the lower end of the inner rod 42 is provided with a thread groove 47 , as shown in FIG. 5 . The upper end of the outer cylinder 43 is provided with a screw thread 46, the lower end of the outer cylinder 43 is provided with a thread groove 47, the outer cylinder cap 44 is cap-shaped and the inner wall is provided with a thread groove 47, and the top of the outer cylinder cap 44 is provided with a circular hole 441, As shown in Figure 4. The upper end of the chuck 41 is provided with a thread 46, and a spring 411 is installed at the joint of the chuck 41, as shown in FIG. 3 . Connect the thread 46 at the upper end of the outer cylinder 43 with the thread groove 47 of the outer cylinder cap 44, connect the thread 46 at the tail end of the chuck 41 with the thread groove 47 at the lower end of the inner rod 42, and pass the upper end of the inner rod 42 through the outer cylinder 43 and the round hole 441 of the outer cylinder cap 44, and the nut 45 is connected to the upper end of the inner rod 42 to form the guide rod 4, as shown in FIG. 6 .

将三维应变花1置入应变花制作盒3内,在应变花制作盒3与三维应变花1之间的空隙填充土体,即形成一个三维应变土块5;三维应变花1的多根应变杆导线汇总为一根数据导线2,数据导线2与所述应变采集箱的接头连接,组成了测试装置;再组装导杆4,组成了放置装置;再用导杆4将三维应变土块5放入待测点,组成了用于土体三维应变测试的成套装置。Put the three-dimensional strain rosette 1 into the strain rosette making box 3, and fill the space between the strain rosette making box 3 and the three-dimensional strain rosette 1 to form a three-dimensional strain rosette 5; The rod wires are summarized into a data wire 2, and the data wire 2 is connected with the joint of the strain collection box to form a test device; then the guide rod 4 is assembled to form a placement device; Putting it into the point to be measured constitutes a complete set of equipment for three-dimensional strain testing of soil.

本发明的用于土体三维应变测试的成套装置的实施方法,该实施方法包括以下步骤:The implementation method of the complete set of equipment for soil three-dimensional strain test of the present invention, this implementation method comprises the following steps:

1)制备三维应变土块5,将三维应变花1的多根应变杆导线汇总为一根数据导线2,如图2所示。1) Prepare a three-dimensional strained soil block 5, and combine multiple strain rod wires of the three-dimensional strain rosette 1 into one data wire 2, as shown in FIG. 2 .

2)在待测场地钻孔,为下述步骤中放入三维应变土块5做准备。2) Drill holes in the site to be tested, and prepare for placing the three-dimensional strained soil block 5 in the following steps.

3)组装所述导杆4,如图6所示。3) Assemble the guide rod 4, as shown in FIG. 6 .

4)通过导杆4的夹头41夹住步骤1)制备形成的三维应变土块5,再通过旋转螺帽45夹紧三维应变土块5,防止三维应变土块5在放置过程中脱落,如图7、8所示。4) Clamp the three-dimensional strained soil block 5 prepared in step 1) by the chuck 41 of the guide rod 4, and then clamp the three-dimensional strained soil block 5 by rotating the nut 45 to prevent the three-dimensional strained soil block 5 from falling off during placement, As shown in Figure 7 and 8.

5)将步骤4)所述的导杆4夹紧的三维应变土块5送入步骤2)的钻孔,通过旋转螺帽45松开夹头41,使三维应变土块5与夹头41断开连接,达到将三维应变土块5放入待测点的目的,将数据导线2从钻孔导出并与应变采集箱相连接,随后用土体将周围孔隙填充密实。5) The three-dimensional strained soil block 5 clamped by the guide rod 4 described in step 4) is sent into the borehole of step 2), and the chuck 41 is loosened by rotating the nut 45, so that the three-dimensional strained soil block 5 and the chuck 41 Disconnect to achieve the purpose of putting the three-dimensional strained soil block 5 into the point to be measured, lead the data wire 2 out from the borehole and connect it with the strain collection box, and then fill the surrounding pores with soil.

6)待测点土体产生的变形带动三维应变花1变形,并由应变采集箱采集到的读数,分别记为ε1、ε2、ε3、ε4、ε5、ε6,通过公式(1)计算土体的三维应变状态,公式(1)如下:6) The deformation of the soil at the point to be measured drives the deformation of the three-dimensional strain rosette 1, and the readings collected by the strain collection box are denoted as ε 1 , ε 2 , ε 3 , ε 4 , ε 5 , ε 6 , respectively, through the formula (1) To calculate the three-dimensional strain state of the soil, the formula (1) is as follows:

式中:ε1、ε2、ε3、ε4、ε5、ε6为应变采集箱得到三维应变花1的6根应变杆方向上的读数;εx、εy、εz、εxy、εyz、εzx分别为土体中x轴方向应变;y轴方向应变;z轴方向应变;xoy面上剪应力方向应变;yoz面上剪应力方向应变;xoz面上剪应力方向应变。In the formula: ε 1 , ε 2 , ε 3 , ε 4 , ε 5 , ε 6 are the readings in the direction of the six strain bars of the three-dimensional rosette 1 obtained by the strain collection box; ε x , ε y , ε z , ε xy , ε yz , ε zx are respectively the strain in the x-axis direction, the y-axis direction strain, the z-axis direction strain in the soil, the shear stress direction strain on the xoy plane, the shear stress direction strain on the yoz plane, and the shear stress direction strain on the xoz plane.

将三维应变花1固定在三维应变土块5中,三维应变花1各应变杆与空间中x轴、y轴、z轴的的方向余弦li、mi、ni(i=1,2,3,4,5,6)分别为:The three-dimensional strain rosette 1 is fixed in the three-dimensional strain soil block 5, and the direction cosines l i , m i , and ni (i=1, 2 , 3, 4, 5, 6) are respectively:

ni=cosδi (4)n i = cosδ i (4)

式中,δi为三维应变花1各应变杆在xoy投影与x轴的夹角,为三维应变花1各应变杆与z轴的夹角(i=1,2,3,4,5,6)。由方向余弦l、m、n构成的矩阵算子T-1,如下:In the formula, δi is the angle between the three-dimensional rosette 1 strain rods in the xoy projection and the x-axis, is the angle (i=1, 2, 3, 4, 5, 6) between each strain rod of the three-dimensional rosette 1 and the z-axis. The matrix operator T -1 composed of direction cosine l, m, n is as follows:

将三维应变土块5平行的放入待测点后,三维应变花1在待测点的空间位置依然等同于在三维应变土块5中的空间位置,故将三维应变花1置于三维应变土块5能够有效的确定三维应变花1在三维空间中的埋设角度和埋设位置。当三维应变花1的空间位置发生变化,即δi发生变化,矩阵算子T-1也会改变,由公式(1)可知,计算出的{εx、εy、εz、εxy、εyz、εzx}发生变化,导致测试结果不准确。After the three-dimensional strained soil block 5 is put into the point to be measured in parallel, the spatial position of the three-dimensional strain rosette 1 at the point to be measured is still equal to the spatial position in the three-dimensional strained soil block 5, so the three-dimensional strained rosette 1 is placed in the three-dimensional strained soil block 5. The soil block 5 can effectively determine the embedding angle and embedding position of the three-dimensional rosette 1 in the three-dimensional space. When the spatial position of the three-dimensional rosette 1 changes, that is, δ i , changes, the matrix operator T -1 will also change. From formula (1), the calculated {ε x , ε y , ε z , ε xy , ε yz , ε zx } will change, resulting in inaccurate test results .

Claims (2)

1. a kind of complexes for the test of soil body three dimensional strain, which is connected with strain acquirement case, its feature It is:The complexes include test device, apparatus for placing, and the test device includes three dimensional strain flower (1), data conductor (2), strain rosette makes box (3), and it is uncovered pros shape that length, width and height are 15cm that the strain rosette, which makes box (3), and three Dimension strain rosette (1) inserts strain rosette and makes in box (3), and making the gap between box (3) and three dimensional strain flower (1) in strain rosette fills out The soil body is filled, that is, forms a three dimensional strain soil block (5), more strain bar conducting wires of three dimensional strain flower (1) collect for a single data Conducting wire (2), data conductor (2) are connected with the connector of the strain acquirement case, constitute test device;Guide rod (4) is to place Device;The collet (41) of guide rod (4) clamps three dimensional strain soil block (5) and forms complexes.
The guide rod (4) includes collet (41), interior bar (42), outer barrel (43), outer barrel cap (44), nut (45), interior bar (42) Upper end be provided with screw thread (46), the lower end of interior bar (42) is provided with thread groove (47), and the upper end of outer barrel (43) is provided with screw thread (46), the lower end of outer barrel (43) is provided with thread groove (47), and the outer barrel cap (44) is provided with thread groove for hat shape and inner wall (47), the roof fall of outer barrel cap (44) is provided with circular hole (441), and collet (41) upper end is provided with screw thread (46), and collet (41) junction is equipped with spring (411), by thread groove (47) phase of the screw thread (46) of outer barrel (43) upper end and outer barrel cap (44) Connection, the screw thread (46) of collet (41) tail end is connected with the thread groove (47) of interior bar (42) lower end, by interior bar (42) upper end It is connected through outer barrel (43) and the circular hole (441) of outer barrel cap (44), and by nut (45) with interior bar (42) upper end, that is, forms guide rod (4)。
2. utilize the implementation of the complexes for being used for the test of soil body three dimensional strain described in claim 1, the implementation Comprise the following steps:
1) the three dimensional strain soil block (5) described in claim 1 is prepared, the more strain bar conducting wires that three dimensional strain spends (1) are collected For a single data conducting wire (2);
2) drill in place to be measured, be to be put into three dimensional strain soil block (5) in following step to be ready;
3) guide rod (4) is assembled;
4) step 1) is clamped by the collet (41) of guide rod (4) and prepares the three dimensional strain soil block (5) formed, then pass through rotary nut (45) three dimensional strain soil block (5) is clamped, prevents three dimensional strain soil block (5) from coming off in placement process;
5) the three dimensional strain soil block (5) for clamping the guide rod (4) described in step 4) is sent into the drilling of step 2), passes through rotary nut (45) collet (41) is unclamped, three dimensional strain soil block (5) is disconnected with collet (41), three dimensional strain soil block (5) is put into and is treated Measuring point, data conductor (2) is exported from drilling and is connected with the connector of strain acquirement case, is then filled out hole around with the soil body Fill closely knit;
6) deformation that the tested point soil body produces drives three dimensional strain flower (1) deformation, and the reading collected by strain acquirement case, point ε is not denoted as it1、ε2、ε3、ε4、ε5、ε6, it is as follows by the three dimensional strain state of formula (1) the calculating soil body, formula (1):
<mrow> <mfenced open = "{" close = "}"> <mtable> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mi>x</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mi>y</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mi>z</mi> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mrow> <mi>x</mi> <mi>y</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mrow> <mi>y</mi> <mi>z</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mrow> <mi>z</mi> <mi>x</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "{" close = "}"> <mtable> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mn>0.333</mn> </mrow> </mtd> <mtd> <mn>0.667</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0.667</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mn>0.839</mn> </mrow> </mtd> <mtd> <mn>0.176</mn> </mtd> <mtd> <mn>1.502</mn> </mtd> <mtd> <mn>0.176</mn> </mtd> <mtd> <mrow> <mo>-</mo> <mn>1.502</mn> </mrow> </mtd> <mtd> <mn>1.502</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>1.155</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mrow> <mo>-</mo> <mn>1.115</mn> </mrow> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>-</mo> <mn>1.427</mn> </mrow> </mtd> <mtd> <mn>0.735</mn> </mtd> <mtd> <mn>2.119</mn> </mtd> <mtd> <mn>0.735</mn> </mtd> <mtd> <mrow> <mo>-</mo> <mn>4.237</mn> </mrow> </mtd> <mtd> <mn>2.119</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0.410</mn> </mtd> <mtd> <mrow> <mo>-</mo> <mn>1.226</mn> </mrow> </mtd> <mtd> <mrow> <mo>-</mo> <mn>0.410</mn> </mrow> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>1.226</mn> </mtd> </mtr> </mtable> </mfenced> <mfenced open = "{" close = "}"> <mtable> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mn>1</mn> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mn>2</mn> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mn>3</mn> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mn>4</mn> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mn>5</mn> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>&amp;epsiv;</mi> <mn>6</mn> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula:ε1、ε2、ε3、ε4、ε5、ε6The reading on 6 strain bar directions of (1) is spent for strain acquirement case;εx、εy、εz、 εxy、εyz、εzxX-axis direction strains respectively in the soil body;Y-axis direction strains;Z-axis direction strains;Shear stress direction should on xoy faces Become;Shear stress direction strains on yoz faces;Shear stress direction strains on x oz faces;
By three dimensional strain soil block 5 it is parallel be put into tested point after, three dimensional strain spends 1 to be still equal in the locus of tested point Locus in three dimensional strain soil block 5, therefore three can effectively be determined by spending 1 to be placed in three dimensional strain soil block 5 three dimensional strain Tie up the embedded angle in three dimensions of strain rosette 1 and burial place.
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