Theory of ElasticityA comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids. |
Contents
2 The stress tensor | 5 |
THE EQUILIBRIUM OF RODS AND PLATES | 38 |
14 | 50 |
Copyright | |
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a₁ angle axes axis bending boundary conditions Burgers vector c₁ coefficient components compression constant contour corresponding cos² cross-section crystal crystallite curl deflection denote density derivatives direction disclination dislocation line dispersion relation displacement vector dissipative function edge elastic energy entropy equations of equilibrium equations of motion expression external forces fluid force F formula free energy frequency given gives glide plane grad div Hence integral internal stresses isotropic K₁ length Let us consider linear liquid longitudinal longitudinal waves medium moduli nematic obtain oscillations perpendicular plane plate PROBLEM propagation quadratic quantities radius result rotation satisfies smectics SOLUTION strain tensor stress tensor Substituting surface symmetry temperature thermal conduction thermodynamic torsion transverse transverse waves two-dimensional u₁ undeformed unit volume values velocity viscosity wave xy-plane z-axis z-direction zero ди ду