Elasticity of Transversely Isotropic Materials

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.

List of contents

Basic Equations of Anisotropic Elasticity.- General Solution for Transversely Isotropic Problems.- Problems for Infinite Solids.- Half-Space and Layered Media.- Equilibrium of Bodies of Revolution.- Thermal Stresses.- Frictional Contact.- Bending, Vibration and Stability of Plates.- Vibrations of Cylinders and Cylindrical Shells of Transversely Isotropic Materials.- Spherical Shells of Spherically Isotropic Materials.

About the author

Zhang Ling wurde 1957 in Hangzhou, China, geboren und wanderte 1986 nach Kanada aus. Dort studierte sie englische Literatur und Audiologie. Zhang Ling veröffentlichte bisher mehrere Romane und Erzählbände in ihrer Muttersprache, für die sie auch Literaturpreise erhielt.

Summary

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.

Additional text

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)

Report

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)

Product details

• Authors: Weiqi Chen, Weiqiu Chen, Haojian Ding, Haojiang Ding, L. Zhang, Ling Zhang
• Publisher: Springer Netherlands
• Languages: English
• Product format: Paperback / Softback
• Released: 18.10.2010
• EAN: 9789048170180
• ISBN: 978-90-481-7018-0
• No. of pages: 435
• Dimensions: 154 mm x 24 mm x 242 mm
• Weight: 720 g
• Illustrations: XII, 435 p.
• Series: Solid Mechanics and Its Applications; Solid Mechanics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; C, engineering, Civil Engineering, Solid Mechanics, Theoretical and Applied Mechanics, Mechanics, Mechanics of solids, Mechanics, Applied