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Digitale Medien

Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity (1994)

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

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 37 (1994), S. 2471-2499

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Details

ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: Tangent operators and design sensitivities are derived for transient non-linear coupled problems. The solution process and the formation of tangent operators are presented in a systematic manner and sensitivities for a generalized response functional 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 non-linear coupled systems. Rate-independent elastoplasticity is investigated as a case study and a problem with an analytical solution is analysed for demonstration purposes.

Zusätzliches Material: 2 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620371408

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