Major Present Trends in Mathematical Theory of Plasticity,

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)

Document Details

Document Type
Technical Report
Publication Date
Feb 23, 1972
Accession Number
AD0737386

Entities

People

  • I. V. Knets

Organizations

  • United States Army Foreign Science and Technology Center

Tags

DTIC Thesaurus Topics

  • Experimental Data
  • Mechanical Properties
  • Personality
  • Physical Properties
  • Plastic Deformation
  • Plastic Properties
  • Viscosity

Fields of Study

  • Mathematics

Readers

  • Materials Science (Mechanical Engineering).
  • Theoretical Analysis.