The section of the slowness surface of a transversely isotropic elastic material in a zonal plane consists of an ellipse and a quartic curve with two nested branches, the inner of which is convex. Concavities can therefore occur only on the outer branch S and five possibilities arise: (I) S is conve
Circles on the slowness surface of a cubic elastic material
β Scribed by P. Chadwick; G. D. Smith
- Publisher
- Springer Netherlands
- Year
- 1979
- Tongue
- English
- Weight
- 179 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0374-3535
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β¦ Synopsis
It is well-known that either the outer or the medial sheet of the slowness surface of an elastic material with cubic symmetry intersects the cube faces in circles. It is shown here that there exist on the next sheet (medial or outer) three pairs of circles centred on the symmetry axes and situated in planes parallel to the cube faces.
π 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
## D r ~b a k , Noway Some literature on this subject already exists. In a paper by H. S. M. Coxeter, A n upper bound of equal nonoverlapping spheres that can touch another of the same size in Proceedings of Symposia in Pure Mathematics, Vol. 7, 1963, we find a list of references which contains 30
The problem of stress analysis of a solid of revolution, deformed symmetrically with respect to the axis, in which the elastic "constants" are arbitrary functions of the radial and axial coordinates is considered. The solution of the torsion-free problem is formulated in terms of two stress function