Accession Number : AD0737386

Title :   Major Present Trends in Mathematical Theory of Plasticity,

Corporate Author : ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA

Personal Author(s) : Knets,I. V.

Report Date : 23 FEB 1972

Pagination or Media Count : 126

Abstract : The book analyzes mathematical theories of plasticity that connect deformation and stress increases (flow theory), finite deformations and stressed states (deformation theory), stress and deformation tensors on the basis of statistical averaging (statistical theories). The various strengthening conditions, defining the character of change of the load surface during the process of plastic deformation, are described in detail. Four main types of strengthening are analyzed: isotropic, kinematic, combined, and the one connected with the formation of singular loading surfaces. A comparison between the various viscosity conditions, strengthening conditions, and plasticity theories on the basis of experimental data is conducted. (Author)

Descriptors :   (*PLASTIC PROPERTIES, MATHEMATICAL ANALYSIS), (*DEFORMATION, MATHEMATICAL ANALYSIS), STRESSES, STRAIN(MECHANICS), CREEP, LOADS(FORCES), USSR

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE