Some Reflections on Material Stability.
LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS
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A plane sinusoidal wave of infinitesimal amplitude propagates in an isotropic elastic material which is subjected to a finite pure homogeneous deformation. It is desired to obtain necessary and sufficient conditions on the strain-energy function which ensure that the wave velocity to be real for all directions of propagation of the wave. This paper reviews the position which has been reached up to the present in attempts to solve this problem, both in the cases when the material is incompressible and when it is compressible. Author
- Theoretical Mathematics