Finite Deformation Effects in Plasticity Analysis.

Abstract

The non-linear kinematics of the combination of elastic and plastic deformations at finite strain provides the mathematical structure to examine aspects of elastic-plastic analysis more succinctly than is possible with the approach based on infinitesimal elastic strain. Kinematic hardening represents the anisotropic component of strain hardening by a back stress alpha. Application of current theory for finite deformation incorporates the effect of finite rotation by using the Jaumann derivative in the evolution equation for alpha. This approach predicts oscillating shear stress for monotonically increasing simple shear strain but this anomaly can be eliminated by adopting a physically more meaningful modified Jaumann derivative. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1982
Accession Number
ADA118434

Entities

People

  • E. H. Lee

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Counter WMD
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • Elastic Properties
  • Engineering
  • Equations
  • Hardening
  • Kinematics
  • Mechanical Engineering
  • Mechanics
  • Modulus Of Elasticity
  • Plastic Deformation
  • Plastic Flow
  • Plastic Properties
  • Residual Stress
  • Strain Hardening
  • Strain Rate
  • Stress Analysis
  • Stresses

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.
  • Systems Analysis and Design