Applied Elasticity - 2nd Edition - ISBN: 9781898563853, 9780857099587

Applied Elasticity

2nd Edition

Matrix and Tensor Analysis of Elastic Continua

Authors: J D Renton
eBook ISBN: 9780857099587
Paperback ISBN: 9781898563853
Imprint: Woodhead Publishing
Published Date: 30th December 2002
Page Count: 212
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Table of Contents

Matrix methods; Cartesian tensors; Curvilinear tensors; Large deformation theory; Appendices: A1: Formulae for orthogonal co-ordinate systems; A2: Harmonic and biharmonic functions; A3: Equations in vector form; A4: Direct tensor notation; A5: Polar decomposition; A6: Cosserat continua and micropolar elasticity; A7: Minimal curves and geodesics; Answers to problems; Further reading and index.


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.

Key Features

  • 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 between a mathematical and engineering approach
  • Uses Cartesian tensors to develop the theory of thermoelasticity, the theory of generalised plane stress, and complex variable analysis

Readership

Engineers with mathematical knowledge and those familiar with matrices


Details

No. of pages:
212
Language:
English
Copyright:
© Woodhead Publishing 2003
Published:
Imprint:
Woodhead Publishing
eBook ISBN:
9780857099587
Paperback ISBN:
9781898563853

About the Authors

J D Renton Author

John D. Renton, University of Oxford, UK

Affiliations and Expertise

University of Oxford, UK