Accession Number:

ADA050031

Title:

On the Dissipation Associated with Equilibrium Shocks in Finite Elasticity.

Descriptive Note:

Research rept.,

Corporate Author:

CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s):

Report Date:

1977-12-01

Pagination or Media Count:

53.0

Abstract:

Equilibrium fields with discontinuous displacement gradients can occur in finite elasticity for certain materials. The presence of such equilibrium shocks affects the energy balance in the elastostatic field, and the present paper is concerned with a notion of dissipation associated with this energy balance. A dissipation inequality is proposed for three-dimensional equilibrium shocks for both compressible and incompressible materials. The consequences of this inequality are studied for weak shocks in plane strain for compressible materials and for shocks of arbitrary strength in anti-plane strain for a class of incompressible materials. A thermodynamic argument for the dissipation inequality is also given. Author

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE