A study is made of the qualitative features of the inflation of a shell of the so-called material of type II. This material has a strain energy function which is linear in i t , i 3 and arbitrary in i2, where i~, i2 and i 3 are the three principal invariants of the stretch tensors. For a specific fo
Inflation and bifurcation of compressible spherical membranes
โ Scribed by D. M. Haughton
- Publisher
- Springer Netherlands
- Year
- 1982
- Tongue
- English
- Weight
- 280 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0374-3535
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โฆ Synopsis
The inflation and bifurcation of spherical membranes is considered. The membrane material is assumed to be isotropic and hyperelastic but may be arbitrarily compressible. Qualitatively the behaviour of compressible membranes is shown to be the same as that of incompressible membranes but specific forms of strain-energy functions are chosen to illustrate possible quantitative differences.
๐ SIMILAR VOLUMES
A basic linear bifurcation problem is solved for a representative biphasic composite spherical cell. Setting is that of an internal inclusion that expends with an external shell made of a different material. Exact rate equations are derived in the framework of hyperelastic continuum mechanics. Sampl