A Finite Element Analysis of a Class of Problems in Elasto-Plasticity with Hidden Variables.

Abstract

A general theory of finite elastoplasticity deformations is developed which makes use of the generalized Clarke-Rockafellar subdifferentials from non-convex optimization theory and the notion of internal state variables. The theory involves two fundamental potential functionals, the free energy and a general flow potential. An exact kinematical description of large elastic-plastic deformations is given, together with a complete thermodynamics. New finite element methods are derived and several example problems are solved to illustrate the generality and utility of the theory and the numerical schemes. Keywords: Elastoplasticity; finite deformations; non-convex analysis; finite element methods; metal forming.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1985
Accession Number
ADA161642

Entities

People

  • J. T. Oden

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Continuum Mechanics
  • Crystal Structure
  • Crystals
  • Elastic Properties
  • Finite Element Analysis
  • Materials
  • Mechanical Properties
  • Mechanics
  • Modulus Of Elasticity
  • Plastic Flow
  • Plastic Properties
  • Stress Strain Relations
  • Stresses
  • Theorems
  • Thermodynamics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms