Accession Number : AD0683709

Title :   ELASTIC-PLASTIC PLANE-STRAIN SOLUTIONS WITH SEPARABLE STRESS FIELDS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY DIV OF APPLIED MECHANICS

Personal Author(s) : Bogy,David B.

Report Date : JAN 1969

Pagination or Media Count : 26

Abstract : It is shown that elastic-plastic plane-strain solutions in the infinitesimal (flow) theory of plasticity satisfying Tresca's yield criterion and associated flow rule with linear isotropic hardening, based on either equivalent plastic strain or total plastic work, can occur with separable stress field only in the following instances: solutions with uniaxial stress fields, as in bending, solutions with stress fields such that the entire domain changes from elastic to plastic at the same time, and solutions with stress fields for which the elastic-plastic boundary coincides with a principal shear stress trajectory. Whether or not a plasticity solution has a separable stress field can be determined a priorily by examining the corresponding elasticity solution. (Author)

Descriptors :   (*PLASTIC PROPERTIES, STRESSES), FLOW FIELDS, SHEAR STRESSES, YIELD POINT, CREEP, BENDING, DEFORMATION, ISOTROPISM

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE