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

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Original languageEnglish
Article numbere202200045
JournalPAMM - Proceedings in Applied Mathematics and Mechanics
Volume23
Issue number1
Publication statusPublished - 31 May 2023
Event92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) - Kassel, online, Germany
Duration: 15 Mar 202119 Mar 2021
Conference number: 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, Vol. 23, No. 1, e202200045, 31.05.2023.

Research output: Contribution to journalConference articleResearchpeer 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 May 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 ; Vol. 23, No. 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.",
author = "Miriam Kick and Philipp Junker",
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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T1 - On the inclusion of plastic material behavior within the thermodynamic topology optimization

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.

U2 - 10.1002/pamm.202200045

DO - 10.1002/pamm.202200045

M3 - Conference article

VL - 23

JO - PAMM - Proceedings in Applied Mathematics and Mechanics

JF - 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)

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ER -

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