A Saint-Venant principle for shear band localization
β Scribed by C. O. Horgan; W. E. Olmstead
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 150 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0044-2275
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a helical body made of a linear piezoelectric material and loaded at one end only by a system of self-equilibrated forces, it is shown that the strain energy stored in the part of the body distant at least s from the loaded end decreases exponentially with the distance s.
Toupin's version of the Saint-Venant's principle in linear elasticity is generalized to the case of linear elastic porous materials. That is, it is shown that, for a straight prismatic bar made of a linear elastic material with voids and loaded by a self-equilibrated system of forces at one end only