On the Failure of Ellipticity of the Equations for Finite Elastostatic Plane Strain.
Abstract
In this paper the authors establish necessary and sufficient conditions, in terms of the local principal stretches, for ordinary and strong ellipticity of the equations governing finite plane equilibrium deformations of a compressible hyperelastic solid. The material under consideration is assumed to be homogeneous and isotropic, but its strain-energy density is otherwise unrestricted. The authors also determine the directions of the characteristic curves appropriate to plane elastostatic deformations that are accompanied by a failure of ellipticity.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1976
- Accession Number
- ADA027263
Entities
People
- Eli Sternberg
- James K. Knowles
Organizations
- California Institute of Technology