Accession Number:

ADA045052

Title:

Material Stability and Bifurcation in Finite Elasticity.

Descriptive Note:

Technical rept.,

Corporate Author:

LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS

Personal Author(s):

Report Date:

1977-08-01

Pagination or Media Count:

43.0

Abstract:

The theory of small superposed deformation for isotropic incompressible elastic materials is used to obtain necessary restriction on the form of the strain-energy function by requiring that the speed of propagation be real for waves that pass through a finitely deformed body of material i.e., Hadamard stability criterion, and to determine critical loading conditions for a thick rectangular plate under which bifurcation solutions i.e., adjacent equilibrium positions can exist. The possibility of bifurcation under tensile loading, when one pair of faces of a plate are force free, is precluded by further material stability considerations. Author

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE