Some Reflections on Material Stability.

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1978
Accession Number
ADA059199

Entities

People

  • Ronald Rivlin

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Elastic Materials
  • Intensity
  • Materials
  • Reflection

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Structural Health Monitoring of Composite Structures.