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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.
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.
Issue Date:1993-11
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 732
Genre:Technical Report
Rights Information:Copyright 1993 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    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.

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