Rate Complementary Energy Principles; Finite Strain Plasticity Problems; and Finite Elements.

Abstract

Complementary energy theorems, for the rate problem of finite strain classical elasto-plasticity, in both Updated and Total lagrangean forms with alternat stress-rates and conjugate measures of strain rate, are studied from the point of view of their application in finite elements schemes. Two new complementary theorems, in Updated and Total Lagrangean forms respectively, are proposed. The relative merits of these in application to finite-strain elasto-plastic stress analysis, in the treatment of near-incompressibility at large plastic flow, and treatment of buckling problems, are briefly discussed. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA072970

Entities

People

  • Satya N. Atluri

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Civil Engineering
  • Elastic Properties
  • Engineering
  • Equations
  • Finite Element Analysis
  • Flow
  • Materials
  • Mechanics
  • Military Research
  • Numerical Analysis
  • Plastic Flow
  • Plastic Properties
  • Strain Rate
  • Structural Mechanics
  • Theorems
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Mechanical Engineering/Mechanics of Materials.