r4.01.02 Anisotropic elasticity

Summary

This document treats anisotropic thermoelasticity, used for modeling 3D and 2D continuous media (C_ PLAN, D_ PLAN, AXIS), or the layers of composite shells.

The thermoelastic medium may be anisotropic in 3 directions (one speaks of orthotropic elasticity), or else isotropic in two directions (one speaks of transverse isotropic elasticity), or else it may have cubic symmetry.

Table of Contents

• 1. Introduction
• 2. Typology of Hooke matrices
  • 2.1. Orthotropy
  • 2.2. Transverse isotropy
  • 2.3. Isotropy
• 3. Hooke matrix and flexibility matrix
  • 3.1. Notations
  • 3.2. 3D case
  • 3.3. 2D orthotropic case in plane and axisymmetric deformations
  • 3.4. 2D orthotropic case in plane constraints
• 4. Use in Code_Aster
• 5. Bibliography
• 6. Description of document versions