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The slowness surfaces of incompressible and nearly incompressible elastic materials

โœ Scribed by N. H. Scott

Publisher
Springer Netherlands
Year
1986
Tongue
English
Weight
631 KB
Volume
16
Category
Article
ISSN
0374-3535

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โœฆ Synopsis

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 sphere collapsing to the origin whilst the other two sheets tend to the two sheets of the limiting incompressible solid. The theory of nearly incompressible materials is developed here because of its important applications to rubberlike solids. Some results on the wave polarisations and on the convexity of the slowness surfaces are also given.

๐Ÿ“œ SIMILAR VOLUMES

On the problem of eversion for incompres
On the problem of eversion for incompressible elastic materials
โœ S. A. Adeleke ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 260 KB

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 tr