Accession Number : ADA019498

Title :   The Significance of Formulating Plasticity Theory with Reference to Loading Surfaces in Strain Space.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY DEPT OF MECHANICAL ENGINEERING

Personal Author(s) : Naghdi,P. M. ; Trapp,J. A.

Report Date : NOV 1974

Pagination or Media Count : 33

Abstract : After observing that the classical formulation of the theory of elastic-plastic materials relative to loading surfaces in stress space may not be valid in a region such as that corresponding to the neighborhood of ultimate strength (or initiation of necking) in a simple tension test, the present paper deals with an alternative development of constitutive equations for the rate of plastic strain and the rate of working-hardening relative to loading surfaces in strain space. The range of the validity of the results and their significance, in the presence of both finite and infinitesimal deformations, are discussed and certain features of the loading criteria in strain space and their relationships to the corresponding criteria in stress space are noted.

Descriptors :   *Viscoelasticity, *Stress strain relations, *Plastic properties, Loads(Forces), Tensor analysis, Mathematical analysis, Deformation

Subject Categories : Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE