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    Modules in Mechanics of Materials List of Symbols

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    Benjali D. Dinagat
    This document provides a list of symbols commonly used in mechanics of materials. It includes symbols for various mechanical properties, dimensions, forces, stresses, strains, materials properties, and other variables. Over 100 different symbols are defined, ranging from basic variables like A for area, E for modulus of elasticity, and σ for stress, to more specialized variables like Gc for critical strain energy release rate, σf for failure stress, and Ω for configurational probability. The comprehensive list of symbols acts as a reference for the terms and notation used within mechanics of materials.

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    Modules in Mechanics of Materials List of Symbols

    Uploaded by

    Benjali D. Dinagat
    84 views3 pages
    This document provides a list of symbols commonly used in mechanics of materials. It includes symbols for various mechanical properties, dimensions, forces, stresses, strains, materials properties, and other variables. Over 100 different symbols are defined, ranging from basic variables like A for area, E for modulus of elasticity, and σ for stress, to more specialized variables like Gc for critical strain energy release rate, σf for failure stress, and Ω for configurational probability. The comprehensive list of symbols acts as a reference for the terms and notation used within mechanics of materials.

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    This document provides a list of symbols commonly used in mechanics of materials. It includes symbols for various mechanical properties, dimensions, forces, stresses, strains, materials properties, and other variables. Over 100 different symbols are defined, ranging from basic variables like A for area, E for modulus of elasticity, and σ for stress, to more specialized variables like Gc for critical strain energy release rate, σf for failure stress, and Ω for configurational probability. The comprehensive list of symbols acts as a reference for the terms and notation used within mechanics of materials.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    84 views3 pages

    Modules in Mechanics of Materials List of Symbols

    Uploaded by

    Benjali D. Dinagat
    This document provides a list of symbols commonly used in mechanics of materials. It includes symbols for various mechanical properties, dimensions, forces, stresses, strains, materials properties, and other variables. Over 100 different symbols are defined, ranging from basic variables like A for area, E for modulus of elasticity, and σ for stress, to more specialized variables like Gc for critical strain energy release rate, σf for failure stress, and Ω for configurational probability. The comprehensive list of symbols acts as a reference for the terms and notation used within mechanics of materials.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
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    Modules in Mechanics of Materials

    List of Symbols

    A area, free energy, Madelung constant


    A transformation matrix
    A plate extensional stiffness
    a length, transformation matrix, crack length
    aT time-temperature shifting factor
    B design allowable for strength
    B matrix of derivatives of interpolation functions
    B plate coupling stiffness
    b width, thickness
    C stress optical coefficient, compliance
    C viscoelastic compliance operator
    c numerical constant, length, speed of light
    C.V. coefficient of variation
    D stiffness matrix, flexural rigidity of plate
    D plate bending stiffness
    d diameter, distance, grain size
    E modulus of elasticity, electric field
    E∗ activation energy
    E viscoelastic stiffness operator
    e electronic charge
    eij deviatoric strain
    F force
    fs form factor for shear
    G shear modulus
    G viscoelastic shear stiffness operator
    Gc critical strain energy release rate
    g acceleration of gravity
    GF gage factor for strain gages
    H Brinell hardness
    h depth of beam
    I moment of inertia, stress invariant
    I identity matrix
    J polar moment of inertia
    K bulk modulus, global stiffness matrix, stress intensity factor
    K viscoelastic bulk stiffness operator
    k spring stiffness, element stiffness, shear yield stress, Boltzman’s constant
    L length, beam span
    L matrix of differential operators
    1
    M bending moment
    N crosslink or segment density, moire fringe number, interpolation function, cycles to failure
    N traction per unit width on plate
    NA Avogadro’s number
    N viscoelastic Poisson operator
    n refractive index, number of fatigue cycles
    n̂ unit normal vector
    P concentrated force
    Pf fracture load, probability of failure
    Ps probability of survival
    p pressure, moire gridline spacing
    Q force resultant, first moment of area
    q distributed load
    R radius, reaction force, strain or stress rate, gas constant, electrical resistance
    R Reuter’s matrix
    r radius, area reduction ratio
    S entropy, moire fringe spacing, total surface energy, alternating stress
    S compliance matrix
    s Laplace variable, standard deviation
    SCF stress concentration factor
    T temperature, tensile force, stress vector, torque
    Tg glass transition temperature
    t time, thickness
    tf time to failure
    U strain energy
    U∗ strain energy per unit volume
    UTS ultimate tensile stress
    ũ approximate displacement function
    V shearing force, volume, voltage
    V∗ activation volume
    v velocity
    W weight, work
    u, v, w components of displacement
    x, y, z rectangular coordinates
    X standard normal variable
    α, β curvilinear coordinates
    αL coefficient of linear thermal expansion
    γ shear strain, surface energy per unit area, weight density
    δ deflection
    δij Kroenecker delta
     normal strain
     strain pseudovector
    ij strain tensor
    T thermal strain
    η viscosity
    θ angle, angle of twist per unit length
    κ curvature
    λ extension ratio, wavelength

    2
    ν Poisson’s ratio
    ρ density, electrical resistivity
    Σij distortional stress
    σ normal stress
    σ stress pseudovector
    σij stress tensor
    σe endurance limit
    σf failure stress
    σm mean stress
    σM Mises stress
    σt true stresss
    σY yield stresss
    τ shear stress, relaxation time
    φ Airy stress function
    ξ dummy length or time variable
    Ω configurational probability
    ω angular frequency
    ∇ gradient operator

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