7.3: List of Symbols
- Page ID
- 44558
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\(A\) | area, free energy, Madelung constant |
A | transformation matrix |
\(\mathcal{A}\) | plate extensional stiffness |
\(a\) | length, transformation matrix, crack length |
\(a_T\) | time-temperature shifting factor |
\(B\) | design allowable for strength |
B | matrix of derivative of interpolation functions |
\(\mathcal{B}\) | plate coupling stiffness |
\(b\) | width, thickness |
\(C\) | stress optical coefficient, compliance |
\(\mathcal{C}\) | viscoelastic compliance operator |
\(c\) | numerical constant, length, speed of light |
C.V. | coefficient of variation |
D | stiffness matrix, flexural rigidity of plate |
\(\mathcal{D}\) | plate bending stiffness |
\(d\) | diameter, distance, grain size |
\(E\) | modulus of elasticity, electric field |
\(E^*\) | activation energy |
\(\mathcal{E}\) | viscoelastic stiffness operator |
\(e\) | electronic charge |
\(e_{ij}\) | deviatoric strain |
\(F\) | force |
\(f_s\) | form factor for shear |
\(G\) | shear modulus |
\(\mathcal{G}\) | viscoelastic shear stiffness operator |
\(\mathcal{G}_c\) | 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 |
\(\mathcal{K}\) | viscoelastic bulk stiffness operator |
\(k\) | spring stiffness, element stiffness, shear yield stress, Boltzman's constant |
\(L\) | length, beam span |
L | matrix of differential operators |
\(M\) | bending moment |
\(N\) | crosslink or segment density, moire fringe number, interpolation function, cycles to failure |
N | traction per unit width on plate |
\(N_A\) | Avogadro's number |
\(\mathcal{N}\) | viscoelastic Poisson operator |
\(n\) | refractive index, number of fatigue cycles |
\(\hat{n}\) | unit normal vector |
\(P\) | concentrated force |
\(P_f\) | fracture load, probability of failure |
\(P_s\) | 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 |
\(T_g\) | glass transition temperature |
\(t\) | time, thickness |
\(t_f\) | time to failure |
\(U\) | strain energy |
\(U^*\) | strain energy per unit volume |
UTS | ultimate tensile stress |
\(\tilde{u}\) | 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 |
\(\alpha, \beta\) | curvilinear coordinates |
\(\alpha_L\) | coefficient of linear thermal expansion |
\(\gamma\) | shear strain, surface energy per unit area, weight density |
\(\delta\) | deflection |
\(\delta_{ij}\) | Kroenecher delta |
\(\epsilon\) | normal strain |
\(\mathcal{\epsilon}\) | strain pseudovector |
\(\epsilon_{ij}\) | strain tensor |
\(\epsilon_T\) | thermal strain |
\(\zeta\) | viscosity |
\(\theta\) | angle, angle of twist per unit length |
\(\kappa\) | curvature |
\(\lambda\) | extension ratio, wavelength |
\(\nu\) | Poisson's ratio |
\(\rho\) | density, electrical resistivity |
\(\sum_{ij}\) | distortional stress |
\(\sigma\) | normal stress |
\(\mathcal{\sigma}\) | stress pseudovector |
\(\sigma_{ij}\) | stress tensor |
\(\sigma_e\) | endurance limit |
\(\sigma_f\) | failure stress |
\(\sigma_m\) | mean stress |
\(\sigma_M\) | Mises stress |
\(\sigma_t\) | true stress |
\(\sigma_Y\) | yield stress |
\(\tau\) | shear stress, relaxation time |
\(\phi\) | Airy stress function |
\(\xi\) | dummy length or time variable |
\(\Omega\) | configurational probability |
\(\omega\) | angular frequency |
\(\nabla\) | gradient operator |