𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stress, strain and energy splittings for anisotropic elastic solids under volumetric constraints

✍ Scribed by Carlos A. Felippa; Eugenio Oñate


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
220 KB
Volume
81
Category
Article
ISSN
0045-7949

No coin nor oath required. For personal study only.

✦ Synopsis


We define stress and strain splittings appropriate to linearly elastic anisotropic materials with volumetric constraints. The treatment includes rigidtropic materials, which develop no strains under a stress pattern that is a null eigenvector of the compliance matrix. This model includes as special case incompressible materials, for which the eigenvector is hydrostatic stress. The main finding is that pressure and volumetric strain must be redefined as effective quantities. Using this idea, an energy decomposition that exactly separates deviatoric and volumetric energy follows.