1. Kinematics of Deformable Bodies

  1. J. Tinsley Oden

Published Online: 30 NOV 2011

DOI: 10.1002/9781118105733.ch1

An Introduction to Mathematical Modeling: A Course in Mechanics

An Introduction to Mathematical Modeling: A Course in Mechanics

How to Cite

Oden, J. T. (2011) Kinematics of Deformable Bodies, in An Introduction to Mathematical Modeling: A Course in Mechanics, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118105733.ch1

Publication History

  1. Published Online: 30 NOV 2011
  2. Published Print: 30 SEP 2011

ISBN Information

Print ISBN: 9781118019030

Online ISBN: 9781118105733

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Keywords:

  • deformation tensors;
  • rates of motion;
  • rates of deformation;
  • Piola transformation;
  • Polar decomposition theorem

Summary

This chapter contains sections titled:

  • Motion

  • Strain and Deformation Tensors

  • Rates of Motion

  • Rates of Deformation

  • The Piola Transformation

  • The Polar Decomposition Theorem

  • Principal Directions and Invariants of Deformation and Strain

  • The Reynolds' Transport Theorem