Thermodynamic topology optimization including plasticity

Research output: Working paper/PreprintPreprint

View graph of relations

Details

Original languageEnglish
Publication statusE-pub ahead of print - 5 Mar 2021

Abstract

Topology optimization is an important basis for the design of components. Here, the optimal structure is found within a design space subject to boundary conditions as well as the material law. Additionally, the specific material law has a strong impact on the final design. Even more: a, for instance, linear-elastically structure is not optimal if plastic deformation will be induced by the loads. Hence, a physically correct and resource-efficient inclusion of plasticity modeling is needed. In this contribution, we present an extension of the thermodynamic topology optimization that accounts for the non-linear material behavior due to the evolution of plastic strains. For this purpose, we develop a novel surrogate plasticity model that allows to compute the correct plastic strain tensor corresponding to the current structure design. We show the agreement of the model with the classic plasticity model without dissipation and that the interaction of the topology optimization with plastic material behavior results in structural changes.

Keywords

    cs.CE

Cite this

Thermodynamic topology optimization including plasticity. / Kick, Miriam; Junker, Philipp.
2021.

Research output: Working paper/PreprintPreprint

Download
@techreport{f09ca52c26304091ba3e9e5375864ea1,
title = "Thermodynamic topology optimization including plasticity",
abstract = "Topology optimization is an important basis for the design of components. Here, the optimal structure is found within a design space subject to boundary conditions as well as the material law. Additionally, the specific material law has a strong impact on the final design. Even more: a, for instance, linear-elastically structure is not optimal if plastic deformation will be induced by the loads. Hence, a physically correct and resource-efficient inclusion of plasticity modeling is needed. In this contribution, we present an extension of the thermodynamic topology optimization that accounts for the non-linear material behavior due to the evolution of plastic strains. For this purpose, we develop a novel surrogate plasticity model that allows to compute the correct plastic strain tensor corresponding to the current structure design. We show the agreement of the model with the classic plasticity model without dissipation and that the interaction of the topology optimization with plastic material behavior results in structural changes.",
keywords = "cs.CE",
author = "Miriam Kick and Philipp Junker",
year = "2021",
month = mar,
day = "5",
language = "English",
type = "WorkingPaper",

}

Download

TY - UNPB

T1 - Thermodynamic topology optimization including plasticity

AU - Kick, Miriam

AU - Junker, Philipp

PY - 2021/3/5

Y1 - 2021/3/5

N2 - Topology optimization is an important basis for the design of components. Here, the optimal structure is found within a design space subject to boundary conditions as well as the material law. Additionally, the specific material law has a strong impact on the final design. Even more: a, for instance, linear-elastically structure is not optimal if plastic deformation will be induced by the loads. Hence, a physically correct and resource-efficient inclusion of plasticity modeling is needed. In this contribution, we present an extension of the thermodynamic topology optimization that accounts for the non-linear material behavior due to the evolution of plastic strains. For this purpose, we develop a novel surrogate plasticity model that allows to compute the correct plastic strain tensor corresponding to the current structure design. We show the agreement of the model with the classic plasticity model without dissipation and that the interaction of the topology optimization with plastic material behavior results in structural changes.

AB - Topology optimization is an important basis for the design of components. Here, the optimal structure is found within a design space subject to boundary conditions as well as the material law. Additionally, the specific material law has a strong impact on the final design. Even more: a, for instance, linear-elastically structure is not optimal if plastic deformation will be induced by the loads. Hence, a physically correct and resource-efficient inclusion of plasticity modeling is needed. In this contribution, we present an extension of the thermodynamic topology optimization that accounts for the non-linear material behavior due to the evolution of plastic strains. For this purpose, we develop a novel surrogate plasticity model that allows to compute the correct plastic strain tensor corresponding to the current structure design. We show the agreement of the model with the classic plasticity model without dissipation and that the interaction of the topology optimization with plastic material behavior results in structural changes.

KW - cs.CE

M3 - Preprint

BT - Thermodynamic topology optimization including plasticity

ER -

By the same author(s)