Accession Number : AD0764667

Title :   A Note Relative to the Rest Constraint in Finite Elasticity.

Descriptive Note : Technical rept.,

Corporate Author : UTAH UNIV SALT LAKE CITY DEPT OF CIVIL ENGINEERING

Personal Author(s) : Fitzgerald,J. Edmund

Report Date : JUL 1973

Pagination or Media Count : 23

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)

Descriptors :   (*ELASTIC PROPERTIES, THEOREMS), DEFORMATION, STRESSES, TENSOR ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, CAUCHY PROBLEM, FREE ENERGY

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE