On the inclusion of plastic material behavior within the thermodynamic topology optimization

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OriginalspracheEnglisch
Aufsatznummere202200045
FachzeitschriftPAMM - Proceedings in Applied Mathematics and Mechanics
Jahrgang23
Ausgabenummer1
PublikationsstatusVeröffentlicht - 31 Mai 2023
Veranstaltung92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) - Kassel, online, Deutschland
Dauer: 15 März 202119 März 2021
Konferenznummer: 92

Abstract

Accounting for the real material behavior in topology optimization is essential since it determines the final optimal structure. For considering a plastic material behavior, we propose a surrogate plasticity model within the thermodynamic topology optimization to handle this complex material behavior in a resource-efficient manner. We model physically correct plastic strains analogously to classic plasticity models but without path-dependence and hysteresis during the course of optimization. This is verified by comparison to classic elasto-plastic models. To demonstrate the necessity of accounting for the realistic material model, we present optimization results where the structural changes due to plastic deformations become apparent.

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On the inclusion of plastic material behavior within the thermodynamic topology optimization. / Kick, Miriam; Junker, Philipp.
in: PAMM - Proceedings in Applied Mathematics and Mechanics, Jahrgang 23, Nr. 1, e202200045, 31.05.2023.

Publikation: Beitrag in FachzeitschriftKonferenzaufsatz in FachzeitschriftForschungPeer-Review

Kick M, Junker P. On the inclusion of plastic material behavior within the thermodynamic topology optimization. PAMM - Proceedings in Applied Mathematics and Mechanics. 2023 Mai 31;23(1):e202200045. doi: 10.1002/pamm.202200045
Kick, Miriam ; Junker, Philipp. / On the inclusion of plastic material behavior within the thermodynamic topology optimization. in: PAMM - Proceedings in Applied Mathematics and Mechanics. 2023 ; Jahrgang 23, Nr. 1.
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abstract = "Accounting for the real material behavior in topology optimization is essential since it determines the final optimal structure. For considering a plastic material behavior, we propose a surrogate plasticity model within the thermodynamic topology optimization to handle this complex material behavior in a resource-efficient manner. We model physically correct plastic strains analogously to classic plasticity models but without path-dependence and hysteresis during the course of optimization. This is verified by comparison to classic elasto-plastic models. To demonstrate the necessity of accounting for the realistic material model, we present optimization results where the structural changes due to plastic deformations become apparent.",
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note = "We highly acknowledge the financial support for this research by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the project grant JU 3096/2-1. Open access funding enabled and organized by Projekt DEAL.; 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) ; Conference date: 15-03-2021 Through 19-03-2021",
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AU - Kick, Miriam

AU - Junker, Philipp

N1 - Conference code: 92

PY - 2023/5/31

Y1 - 2023/5/31

N2 - Accounting for the real material behavior in topology optimization is essential since it determines the final optimal structure. For considering a plastic material behavior, we propose a surrogate plasticity model within the thermodynamic topology optimization to handle this complex material behavior in a resource-efficient manner. We model physically correct plastic strains analogously to classic plasticity models but without path-dependence and hysteresis during the course of optimization. This is verified by comparison to classic elasto-plastic models. To demonstrate the necessity of accounting for the realistic material model, we present optimization results where the structural changes due to plastic deformations become apparent.

AB - Accounting for the real material behavior in topology optimization is essential since it determines the final optimal structure. For considering a plastic material behavior, we propose a surrogate plasticity model within the thermodynamic topology optimization to handle this complex material behavior in a resource-efficient manner. We model physically correct plastic strains analogously to classic plasticity models but without path-dependence and hysteresis during the course of optimization. This is verified by comparison to classic elasto-plastic models. To demonstrate the necessity of accounting for the realistic material model, we present optimization results where the structural changes due to plastic deformations become apparent.

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DO - 10.1002/pamm.202200045

M3 - Conference article

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JO - PAMM - Proceedings in Applied Mathematics and Mechanics

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T2 - 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)

Y2 - 15 March 2021 through 19 March 2021

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