Applied Elasticity
eBook - PDF

Applied Elasticity

Matrix and Tensor Analysis of Elastic Continua

  1. 212 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Applied Elasticity

Matrix and Tensor Analysis of Elastic Continua

About this book

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 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

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Yes, you can access Applied Elasticity by J D Renton in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mechanics. We have over one million books available in our catalogue for you to explore.

Information

Year
2002
Print ISBN
9781898563853
eBook ISBN
9780857099587
Edition
2
Subtopic
Mechanics

Table of contents

  1. Front Cover
  2. Applied Elasticity: Matrix and Tensor Analysis of Elastic Continua
  3. Copyright Page
  4. Table of Contents
  5. About the Author
  6. Preface
  7. Chapter 1. Matrix methods
  8. Chapter 2. Cartesian tensors
  9. Chapter 3. Curvilinear tensors
  10. Chapter 4. Large deformation theory
  11. Appendix A1: Formulae for orthogonal coordinate systems
  12. Appendix A2: Harmonic and biharmonic functions
  13. Appendix A3: Equations in vector form
  14. Appendix A4: Direct tensor notation
  15. Appendix A5: Polar decomposition
  16. Appendix A6: Cosserat continua and micropolar elasticity
  17. Appendix A7: Minimal curves and geodesics
  18. Answers to problems
  19. Further reading and references
  20. Index