Elastic-Plastic Theory at Finite Strain.

Abstract

It is shown that in order to solve certain technological problems, it is necessary to develop elastic-plastic theory for which both components of strain can be finite. This poses a challenging problem because of the need to include nonlinear discontinuous response to loading history, that is to determine nonlinear discontinuous functionals. Various approaches to this challenge are considered and contrasted. The possible advantages of direct extension of classical approaches is expressed. Questions of the validity and applicability of suggested theories are considered from the standpoints of invariance, convenience of representation for specific materials and for introduction into stress and strain analysis evaluations. Thermodynamic aspects are also discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1973
Accession Number
AD0764557

Entities

People

  • E. H. Lee
  • P. Germain

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Invariance
  • Materials
  • Test And Evaluation

Readers

  • Mathematical Modeling and Probability Theory.
  • Mechanical Engineering/Mechanics of Materials.
  • Systems Analysis and Design