9. Linear Elasticity

  1. Ismael Herrera and
  2. George F. Pinder

Published Online: 19 MAR 2012

DOI: 10.1002/9781118207239.ch9

Mathematical Modeling in Science and Engineering: An Axiomatic Approach

Mathematical Modeling in Science and Engineering: An Axiomatic Approach

How to Cite

Herrera, I. and Pinder, G. F. (2012) Linear Elasticity, in Mathematical Modeling in Science and Engineering: An Axiomatic Approach, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118207239.ch9

Publication History

  1. Published Online: 19 MAR 2012
  2. Published Print: 12 MAR 2012

ISBN Information

Print ISBN: 9781118087572

Online ISBN: 9781118207239

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Keywords:

  • elastodynamics;
  • elastostatics;
  • stress analysis;
  • isotropic elastic solids;
  • linear elastic solid

Summary

This chapter contains sections titled:

  • Introduction

  • Elastic Solids

  • The Linear Elastic Solid

  • More on the Displacement Field Decomposition

  • Strain Analysis

  • Stress Analysis

  • Isotropic Materials

  • Stress-Strain Relations for Isotropic Materials

  • The Governing Differential Equations

  • Well-Posed Problems

  • Representation of Solutions for Isotropic Elastic Solids

  • Summary

  • Exercises