1. Fundamental Equations of Continuous Deformable Bodies

  1. Erasmo Carrera1,
  2. Gaetano Giunta2 and
  3. Marco Petrolo1

Published Online: 11 AUG 2011

DOI: 10.1002/9781119978565.ch1

Beam Structures: Classical and Advanced Theories

Beam Structures: Classical and Advanced Theories

How to Cite

Carrera, E., Giunta, G. and Petrolo, M. (2011) Fundamental Equations of Continuous Deformable Bodies, in Beam Structures: Classical and Advanced Theories, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119978565.ch1

Author Information

  1. 1

    Politecnico di Torino, Italy

  2. 2

    Centre de Recherche Public Henri Tudor, Luxembourg

Publication History

  1. Published Online: 11 AUG 2011
  2. Published Print: 16 SEP 2011

ISBN Information

Print ISBN: 9780470972007

Online ISBN: 9781119978565

SEARCH

Keywords:

  • continuous deformable bodies - fundamental equations;
  • geometrical and constitutive equations;
  • three-orthogonal Cartesian system;
  • geometry and notations for 3D deformable body;
  • equilibrium equations - stress components and boundary conditions;
  • mechanical boundary conditions;
  • strain displacement relations;
  • Hooke's law, and stress and strain components

Summary

This chapter contains sections titled:

  • Displacement, strain, and stresses

  • Equilibrium equations in terms of stress components and boundary conditions

  • Strain displacement relations

  • Constitutive relations: Hooke's law

  • Displacement approach via principle of virtual displacements

  • References