An Introduction to the Theory of ElasticityThanks to intense research activity in the field of continuum mechanics, the teaching of subjects such as elasticity theory has attained a high degree of clarity and simplicity. This introductory volume offers upper-level undergraduates a perspective based on modern developments that also takes into account the limited mathematical tools they are likely to have at their disposal. It also places special emphasis on areas that students often find difficult upon first encounter. An Introduction to the Theory of Elasticity provides an accessible guide to the subject in a form that will instill a firm foundation for more advanced study. The topics covered include a general discussion of deformation and stress, the derivation of the equations of finite elasticity with some exact solutions, and the formulation of infinitesimal elasticity with application to some two- and three-dimensional static problems and elastic waves. Answers to examples appear at the end of the book. |
Contents
Finite elasticity constitutive theory | 56 |
Exact solutions | 76 |
Infinitesimal theory | 122 |
Extension torsion and bending | 185 |
section | 196 |
Elastic waves | 204 |
Answers to examples | 235 |
| 241 | |
Other editions - View all
Common terms and phrases
1-direction ໒໐ absence of body angle applied traction arbitrary body force boundary conditions complex functions compressible consider constant constitutive equations cross-section curve cylinder denotes differential displacement components displacement field divergence theorem E₁ edition elastic material equilibrium equations Example extension free of applied given grad Hence incompressible material isochoric isotropic linear magnitude mathematics Mooney-Rivlin motion normal stress occupies the region P-wave particle plane strain problems propagation quantum Rayleigh wave reference configuration resultant force rigid-body Rivlin and Saunders rotation satisfied scalar shear stress simple shear simply connected solution strain tensor strain-energy function stress components stress tensor stress vector surface traction SV-wave theorem tion torsion traction-free u₁ unit normal vector field volume W₁ wave X₁ zero υς ди др дф