✦ LIBER ✦
Bifurcation and stability of homogeneous deformations of an elastic body under dead load tractions withZ2symmetry
✍ Scribed by Yi-Chao Chen
- Publisher
- Springer Netherlands
- Year
- 1991
- Tongue
- English
- Weight
- 748 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0374-3535
No coin nor oath required. For personal study only.
✦ Synopsis
An analysis is given of bifurcation and stability of homogeneous deformations of a homogeneous, isotropic, incompressible elastic body subject to three perpendicular sets of dead-load surface tractions of which two have equal magnitude. A minimization problem is formulated within the framework of non-linear elasticity, which leads to a bifurcation problem with Z2 symmetry. Various bifurcation diagrams are deduced by using singularity theory, and stabilities of solution branches are examined.