Accession Number:

ADA059199

Title:

Some Reflections on Material Stability.

Descriptive Note:

Technical rept.,

Corporate Author:

LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS

Personal Author(s):

Report Date:

1978-07-01

Pagination or Media Count:

28.0

Abstract:

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

Subject Categories:

  • Theoretical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE