Elasticity of Transversely Isotropic Materials

1. Front Matter

   Pages i-xii

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2. Basic Equations of Anisotropic Elasticity

   Pages 1-27

3. General Solution for Transversely Isotropic Problems

   Pages 29-69

4. Problems for Infinite Solids

   Pages 71-105

5. Half-Space and Layered Media

   Pages 107-146

6. Equilibrium of Bodies of Revolution

   Pages 147-181

7. Thermal Stresses

   Pages 183-203

8. Frictional Contact

   Pages 205-245

9. Bending, Vibration and Stability of Plates

   Pages 247-281

10. Vibrations of Cylinders and Cylindrical Shells of Transversely Isotropic Materials

    Pages 283-326

11. Spherical Shells of Spherically Isotropic Materials

    Pages 327-371

12. Back Matter

    Pages 373-442

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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.

• deformation
• friction
• mechanics
• naadje
• shells
• solids
• stability
• stress
• vibration

From the reviews:

"The authors’ main goal is to provide an introduction to the theory and applications of mechanics of transversely isotropic elastic materials. … Additional notes and bibliography to chapters, special functions and nomenclature are included in three appendices. … this book is written to meet the needs of modern topics on mechanics of transversely isotropic elastic solids. … It seems to be a useful reference book on the subject. … the book can be considered as an important contribution to the engineering literature." (Lokenath Debnath, Zentralblatt MATH, Vol. 1101 (3), 2007)

"Ideally and emphatically Elasticity of Transversely Isotropic Materials may claim to be the first monograph on mechanics of transversely isotropic materials, which is unique, covers topics of practical importance and provides many references for the reader. Engineers, production and field engineers in engineering disciplines;, designers, and researchers in industry who are interested in the solution of transversely isotropic elastic materials will find this text an inviting study … . a pleasure and an education to read. It is simply brilliant." (Current Engineering Practice, 2007)

• Zhjiang University, Hangzhou, China

  Haojiang Ding, Weiqiu Chen

• The University of Sydney, NSW, Australia

  L. Zhang

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