On the Kinematics of Finite Strain Plasticity

Abstract

In this paper, the representation of the kinematics of inelastic flow problems involving finite strains and rotations is discussed. The concept of multiplicatively decomposing the deformation gradient into elastic and plastic components is utilized, where the plastic deformation gradient represents a stress-free, relaxed configuration. Here, it is demonstrated that the choice of relaxed configuration is not essential in the problem solution. Therefore, the kinematic decomposition of elastic-plastic deformation may be chosen to best analyze the specific material model of concern. This is demonstrated by analyzing two specific materials, the planar single crystal and the glassy polymer, using various kinematic representations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 26, 1989
Accession Number
ADA204319

Entities

People

  • David M. Parks
  • Gustavo G. Wever
  • Mary C. Boyce

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Constitutive Equations
  • Crystal Lattices
  • Crystals
  • Elastic Properties
  • Elements
  • Equations
  • Hardening
  • Materials
  • Mechanics
  • Monitoring
  • Physics
  • Plastic Deformation
  • Plastic Flow
  • Plastic Properties
  • Shear Stresses
  • Single Crystals
  • Strain Hardening

Readers

  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.
  • Structural Health Monitoring of Composite Structures.