ON THE KINEMATICS OF FINITE ELASTIC-PLASTIC DEFORMATION

Abstract

The geometric and kinematic description of the motion of an elastic- plastic body undergoing finite deformation is considered. A configuration distinct from the initial and current configurations of the body is introduced, which is supposed to be the state of the body due to its plastic deformation alone, and also to be the reference configuration for elastic deformation. It is shown that the rate of deformation tensor may then be written as the sum of the rates of elastic and plastic deformation. Restrictions imposed by some physical assumptions are considered, and the form of some of the derived relations is given for two-dimensional deformations in Cartesian and cylindrical coordinates.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0672352

Entities

People

  • Lambert Ben Freund

Organizations

  • Brown University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Constitutive Equations
  • Coordinate Systems
  • Department Of Defense
  • Elastic Properties
  • Engineering
  • Equations
  • Explosives
  • Geometry
  • Materials
  • Mechanics
  • Particles
  • Plastic Deformation
  • Plastic Flow
  • Stresses
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Materials Science (Mechanical Engineering).