Applied Elasticity ：Matrix and Tensor Analysis of Elastic Continua ( 2 )

Publication subTitle ：Matrix and Tensor Analysis of Elastic Continua

Publication series ：2

Author： Renton   J D  

Publisher： Elsevier Science‎

Publication year： 2002

E-ISBN: 9780857099587

P-ISBN(Paperback): 9781898563853

P-ISBN(Hardback):  9781898563853

Subject： TB125 Engineering plastic mechanics, engineering mechanics of elasticity.

Language： ENG

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Description

This updated version covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987. It emphasises 3-dimensional elasticity, concisely covering this important subject studied in most universities by filling the gap between a mathematical and the engineering approach. Based on the author's extensive research experience, it reflects the need for more sophisticated methods of elastic analysis than is usually taught at undergraduate level. The subject is presented at the level of sophistication for engineers with mathematical knowledge and those familiar with matrices. Readers wary of tensor notation will find help in the opening chapter. As his text progresses, the author uses Cartesian tensors to develop the theory of thermoelasticity, the theory of generalised plane stress, and complex variable analysis. Relatively inaccessible material with important applications receives special attention, e.g. Russian work on anisotropic materials, the technique of thermal imaging of strain, and an analysis of the San Andreas fault. Tensor equations are given in straightforward notation to provide a physical grounding and assist comprehension, and there are useful tables for the solution of problems.

  • Covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987
  • Emphasises 3-dimensional elasticity and fills the gap

Chapter

Preface

Front Cover

pp.：  1 – 4

About the Author

pp.：  3 – -20

Applied Elasticity: Matrix and Tensor Analysis of Elastic Continua

pp.：  4 – 5

Copyright Page

pp.：  5 – 6

Table of Contents

pp.：  6 – 3

Chapter 1. Matrix methods

pp.：  11 – 59

Chapter 2. Cartesian tensors

pp.：  59 – 93

Chapter 3. Curvilinear tensors

pp.：  93 – 139

Chapter 4. Large deformation theory

pp.：  139 – 169

Appendix A1: Formulae for orthogonal coordinate systems

pp.：  169 – 175

Appendix A2: Harmonic and biharmonic functions

pp.：  175 – 180

Appendix A3: Equations in vector form

pp.：  180 – 190

Appendix A4: Direct tensor notation

pp.：  190 – 193

Appendix A5: Polar decomposition

pp.：  193 – 196

Appendix A6: Cosserat continua and micropolar elasticity

pp.：  196 – 199

Appendix A7: Minimal curves and geodesics

pp.：  199 – 205

Answers to problems

pp.：  205 – 208

Further reading and references

pp.：  208 – 211

Index

pp.：  211 – 214

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