On the Equation of the Theory of Plasticity

Abstract

The present paper deals with the formulation of the basic relationship between the components of the stress and the velocity strain for yield conditions of a general form, and does not involve the usual assumption of incompressibility of the material. A detailed investigation of the equations of plane plastic equilibrium is given, and different methods of transforming these equations are indicated. A comparatively simple method of solving these equations in the form of trigonometric series is presented. Certain forms of the yield condition arc considered, for which the equations of plane plastic equilibrium have particularly simple coefficients.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1956
Accession Number
AD0083414

Entities

People

  • V. V. Sokolovsky

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Coefficients
  • Contracts
  • Differential Equations
  • Equations
  • Governments
  • Mathematics
  • Mechanics
  • Military Research
  • Plastic Properties
  • Procurement
  • Shear Stresses
  • Soil Mechanics
  • Specifications
  • Stresses
  • Three Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Structural Dynamics.