The linearized equations governing the deformations of incompressible elastic bodies are discussed. The Dirichlet problem is formulated for this system of equations using the theory of elliptic systems due to Douglis and Nirenberg. A uniqueness theorem is proved. Necessary and sufficient conditions
On the problem of eversion for incompressible elastic materials
โ Scribed by S. A. Adeleke
- Publisher
- Springer Netherlands
- Year
- 1983
- Tongue
- English
- Weight
- 260 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0374-3535
No coin nor oath required. For personal study only.
โฆ Synopsis
The paper contains a discussion on when eversion of cylindrical tubes and spherical shells is possible. The analysis shows that eversion of a cylindrical tube of every isotropic incompressible elastic material with no applied forces is possible assuming only the E-inequalities. This is not always true for spherical shells. Conditions are given as to when this is possible and when it is not possible.
๐ SIMILAR VOLUMES
The slowness surface of a compressible elastic material has three sheets whilst that of an incompressible elastic material has only two sheets. The explanation for this qualitative difference is found to be that as the material approaches an incompressible limit the inmost sheet becomes a small sphe
The problem of the indentation of a rigid punch into the upper face of a layer when a uniform field of initial stresses is present in the layer is considered. A model of an isotropic incompressible non-linearly elastic material, specified by the Mooney elastic potential, is used. The case when the l