Chapter 3. Elements of Continuum Mechanics and Thermodynamics

  1. E. A. de Souza Neto,
  2. D. Perić and
  3. D. R. J. Owen

Published Online: 4 DEC 2008

DOI: 10.1002/9780470694626.ch3

Computational Methods for Plasticity: Theory and Applications

Computational Methods for Plasticity: Theory and Applications

How to Cite

de Souza Neto, E. A., Perić, D. and Owen, D. R. J. (2008) Elements of Continuum Mechanics and Thermodynamics, in Computational Methods for Plasticity: Theory and Applications, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470694626.ch3

Author Information

  1. Civil and Computational Engineering Centre, Swansea University, UK

Publication History

  1. Published Online: 4 DEC 2008
  2. Published Print: 24 OCT 2008

ISBN Information

Print ISBN: 9780470694527

Online ISBN: 9780470694626

SEARCH

Keywords:

  • continuum mechanics and thermodynamic elements;
  • deformation gradient;
  • polar decomposition - stretches and rotation;
  • strain measures;
  • velocity gradient and rate of deformation and spin;
  • rate of volume change;
  • infinitesimal isochoric and volumetric deformations;
  • momentum balance axiom;
  • first Piola–Kirchhoff stress

Summary

This chapter contains sections titled:

  • Kinematics of deformation

  • Infinitesimal deformations

  • Forces. Stress Measures

  • Fundamental laws of thermodynamics

  • Constitutive theory

  • Weak equilibrium. The principle of virtual work

  • The quasi-static initial boundary value problem