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Finite Motions of Elastic Bodies
Small Motions Superimposed on Large Static
Appendix A Tensor Analysis
6 other sections not shown
acceleration waves amplitude approximation arbitrary balance laws boundary conditions characteristic Christoffel symbols coefficients compatibility conditions compressible consider const constant constitutive equations corresponding covariant curve curvilinear coordinates defined deformation gradients determined differential equations discontinuity displacement gradients displacement vector elastic materials elastic solids entropy equations of motion Eringen expression finite follows given heat conduction Hence incompressible solids inequality infinitesimal integral interface isotropic isotropic solids jump linear theory longitudinal wave metric tensor Mooney materials nonlinear normal obtain orthogonal oscillations plane wave principal directions problem relations Riemann invariants satisfied Section shear waves shock waves simple wave solutions singular surface spatial speed of propagation spherical strain energy function strain tensor stress tensor Substituting surface a(t symmetric theorem thermoelastic traction transverse waves two-point tensor unit vector vanishes variables velocity wave front wave speeds waves propagating