Elasticity of Transversely Isotropic Materials

Haojiang Ding, Weiqiu Chen, L. Zhang (auth.)1402040342, 9781402040337, 1402040334, 9781402040344

This book aims to provide a comprehensive introduction to the theory and applications of the mechanics of transversely isotropic elastic materials. There are many reasons why it should be written. First, the theory of transversely isotropic elastic materials is an important branch of applied mathematics and engineering science; but because of the difficulties caused by anisotropy, the mathematical treatments and descriptions of individual problems have been scattered throughout the technical literature. This often hinders further development and applications. Hence, a text that can present the theory and solution methodology uniformly is necessary. Secondly, with the rapid development of modern technologies, the theory of transversely isotropic elasticity has become increasingly important. In addition to the fields with which the theory has traditionally been associated, such as civil engineering and materials engineering, many emerging technologies have demanded the development of transversely isotropic elasticity. Some immediate examples are thin film technology, piezoelectric technology, functionally gradient materials technology and those involving transversely isotropic and layered microstructures, such as multi-layer systems and tribology mechanics of magnetic recording devices. Thus a unified mathematical treatment and presentation of solution methods for a wide range of mechanics models are of primary importance to both technological and economic progress.

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Table of contents :
Basic Equations of Anisotropic Elasticity….Pages 1-27
General Solution for Transversely Isotropic Problems….Pages 29-69
Problems for Infinite Solids….Pages 71-105
Half-Space and Layered Media….Pages 107-146
Equilibrium of Bodies of Revolution….Pages 147-181
Thermal Stresses….Pages 183-203
Frictional Contact….Pages 205-245
Bending, Vibration and Stability of Plates….Pages 247-281
Vibrations of Cylinders and Cylindrical Shells of Transversely Isotropic Materials….Pages 283-326
Spherical Shells of Spherically Isotropic Materials….Pages 327-371