University of Illinois Urbana-Champaign

Reexamination of some fundamentals and idealizations of plasticity theory

Drucker, D.C.

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https://hdl.handle.net/2142/112175

Description

Title
Reexamination of some fundamentals and idealizations of plasticity theory
Author(s)
Drucker, D.C.
Issue Date
1979-12
Keyword(s)
Plasticity Theory
Abstract
"Continual refinement in the physical and mathematical understanding of the inelastic behavior of materials has provided interesting new solutions. It also has led to some unrelastic hopes for mathematical forms or idealizations suitable for both a scientifically acceptable synthesis of the complex behavior that is observed and engineering calculations that require only moderate computational effort. Once again, therefore, it is worthwhile to examine the kind of experimental information that is or can be made available, to abstract some essential aspects of material response in a few areas of current interest, to re-assess the postulates of material behavior, and to explore stability of materials and geometry in a broad context. As a start, some special topics are covered briefly: the equivalence of the ''bookkeeping'' information needed for plasticity calculations with and without yield surfaces, the problems of principle involved in the use of Cauchy or ""true"" stress, the stability of defonning surfaces, the kinking instability of fiber-reinforced canposites, the response of metals to cyclic loading, and the inelastic behavior of materials sensitive to hydrostatic pressure."
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 438
  • 1979-6008
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112175
Copyright and License Information
Copyright 1979 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.