A Note Relative to the Rest Constraint in Finite Elasticity.
Abstract
The equations of finite elasticity whether derived from a Cauchy constitutive assumption or a Green (elastic potential) assumption reduce to equivalent forms. The usually published forms do not automatically satisfy the rest state condition wherein the stress vanishes. The rest state constraint often associated with a strain energy function is shown herein to be nonapplicable. That is, use of the rest state constraint on the form of the strain energy function precludes Neo-Hookean behavior as well as severely restricting the form of a Mooney-Rivlin material. It is shown that the rest state condition leads to a form of the constitutive equation wherein no restrictions (other than certain smoothness and differentiability assumptions) are placed upon the form of the strain energy function. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1973
- Accession Number
- AD0764667
Entities
People
- J. Edmund Fitzgerald
Organizations
- University of Utah