University of Illinois Urbana-Champaign

Tangent operators and design sensitivity formulations for transient nonlinear coupled problems with applications to elasto-plasticity

Michaleris, Panagiotis; Tortorelli, Daniel A.; Vidal, Creto A.

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https://hdl.handle.net/2142/112422

Description

Title
Tangent operators and design sensitivity formulations for transient nonlinear coupled problems with applications to elasto-plasticity
Author(s)
  • Michaleris, Panagiotis
  • Tortorelli, Daniel A.
  • Vidal, Creto A.
Issue Date
1993-11
Keyword(s)
  • Elasto-plasticity
  • Nonlinear Coupled Problems
Abstract
Tangent operators and design sensitivities are derived for transient nonlinear coupled problems. The solution process and the formation of tangent operators are presented in a systematic manner and sensitivities for a generalized response function are formulated via both the direct differentiation and adjoint methods. The derived formulations are suitable for finite element implementations. Analyses of systems with materials that exhibit history dependent response, may be obtained directly by applying the analyses of transient nonlinear coupled systems. Rate-independent elasto-plasticity is investigated as a case study and a problem with an analytical solution is analyzed for demonstration purposes.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 732
  • 1993-6030
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112422
Copyright and License Information
Copyright 1993 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.