Stress Analysis for Anisotropic Hardening in Finite-Deformation Plasticity.

Abstract

Kinematic hardening represents the anisotropic component of strain hardening by a shift of the center of the yield surface in stress space. The current approach in stress analysis at finite deformation includes rotational effects by using the Jaumann derivatives of the shift and stress tensors. This procedure generates the unexpected result that oscillatory shear stress is predicated for monotonically increasing simple shear strain. A theory is proposed which calls for a modified Jaumann derivative based on the spin of specific material directions associated with the kinematic hardening. This eliminates the spurious oscillation. General anisotropic hardening is shown to require a similar approach. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 08, 1982
Accession Number
ADA127063

Entities

People

  • E. H. Lee
  • R. L. Mallett
  • T. B. Wertheimer

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Engineering
  • Hardening
  • Materials
  • Mechanical Engineering
  • Mechanical Properties
  • Mechanics
  • Military Research
  • Physical Theories
  • Plastic Flow
  • Plastic Properties
  • Shear Stresses
  • Strain Hardening
  • Stress Analysis
  • Stress Strain Relations
  • Stresses

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.
  • Systems Analysis and Design

Technology Areas

  • Space