4. The Principles of Balance of Linear and Angular Momentum

  1. J. Tinsley Oden

Published Online: 30 NOV 2011

DOI: 10.1002/9781118105733.ch4

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) The Principles of Balance of Linear and Angular Momentum, in An Introduction to Mathematical Modeling: A Course in Mechanics, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118105733.ch4

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:

  • balance of linear momentum;
  • balance of angular momentum;
  • Cauchy's theorem;
  • equations of motion;
  • Piola–Kirchhoff stress tensors

Summary

This chapter contains sections titled:

  • The Principle of Balance of Linear Momentum

  • The Principle of Balance of Angular Momentum

  • Cauchy's Theorem: The Cauchy Stress Tensor

  • The Equations of Motion (Linear Momentum)

  • The Equations of Motion Referred to the Reference Configuration: The Piola–Kirchhoff Stress Tensors

  • Power