A novel approach for the consideration of plastic material behavior in thermodynamic topology optimization

Research output: Contribution to journalConference articleResearchpeer review

View graph of relations

Details

Original languageEnglish
Article numbere202100075
JournalPAMM - Proceedings in Applied Mathematics and Mechanics
Volume21
Issue number1
Publication statusPublished - 14 Dec 2021

Abstract

In order to find optimal structures for realistic applications, it is essential to include the real material behavior in the optimization process. For this purpose, this research focuses on thermodynamic topology optimization accounting for plasticity for which a surrogate material model is developed. Characteristically, the stress/strain diagram resulting from physical loading and unloading shows a hysteresis for classical plasticity models. Our material model takes only the physical loading during the optimization process into account. To this end, during a virtual unloading in the optimization process, the dissipation of energy is suppressed which yields the same elasto/plastic deformation state as for physical loading. By using this novel material model, optimized structures can be computed without resourceful classical path-dependent plasticity computation.

Cite this

A novel approach for the consideration of plastic material behavior in thermodynamic topology optimization. / Kick, Miriam; Junker, Philipp.
In: PAMM - Proceedings in Applied Mathematics and Mechanics, Vol. 21, No. 1, e202100075, 14.12.2021.

Research output: Contribution to journalConference articleResearchpeer review

Kick M, Junker P. A novel approach for the consideration of plastic material behavior in thermodynamic topology optimization. PAMM - Proceedings in Applied Mathematics and Mechanics. 2021 Dec 14;21(1):e202100075. doi: 10.1002/pamm.202100075
Download
@article{2ee74aa01bfa4e40a82b49bf9f19e3fa,
title = "A novel approach for the consideration of plastic material behavior in thermodynamic topology optimization",
abstract = "In order to find optimal structures for realistic applications, it is essential to include the real material behavior in the optimization process. For this purpose, this research focuses on thermodynamic topology optimization accounting for plasticity for which a surrogate material model is developed. Characteristically, the stress/strain diagram resulting from physical loading and unloading shows a hysteresis for classical plasticity models. Our material model takes only the physical loading during the optimization process into account. To this end, during a virtual unloading in the optimization process, the dissipation of energy is suppressed which yields the same elasto/plastic deformation state as for physical loading. By using this novel material model, optimized structures can be computed without resourceful classical path-dependent plasticity computation.",
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.",
year = "2021",
month = dec,
day = "14",
doi = "10.1002/pamm.202100075",
language = "English",
volume = "21",
number = "1",

}

Download

TY - JOUR

T1 - A novel approach for the consideration of plastic material behavior in thermodynamic topology optimization

AU - Kick, Miriam

AU - Junker, Philipp

N1 - 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.

PY - 2021/12/14

Y1 - 2021/12/14

N2 - In order to find optimal structures for realistic applications, it is essential to include the real material behavior in the optimization process. For this purpose, this research focuses on thermodynamic topology optimization accounting for plasticity for which a surrogate material model is developed. Characteristically, the stress/strain diagram resulting from physical loading and unloading shows a hysteresis for classical plasticity models. Our material model takes only the physical loading during the optimization process into account. To this end, during a virtual unloading in the optimization process, the dissipation of energy is suppressed which yields the same elasto/plastic deformation state as for physical loading. By using this novel material model, optimized structures can be computed without resourceful classical path-dependent plasticity computation.

AB - In order to find optimal structures for realistic applications, it is essential to include the real material behavior in the optimization process. For this purpose, this research focuses on thermodynamic topology optimization accounting for plasticity for which a surrogate material model is developed. Characteristically, the stress/strain diagram resulting from physical loading and unloading shows a hysteresis for classical plasticity models. Our material model takes only the physical loading during the optimization process into account. To this end, during a virtual unloading in the optimization process, the dissipation of energy is suppressed which yields the same elasto/plastic deformation state as for physical loading. By using this novel material model, optimized structures can be computed without resourceful classical path-dependent plasticity computation.

U2 - 10.1002/pamm.202100075

DO - 10.1002/pamm.202100075

M3 - Conference article

VL - 21

JO - PAMM - Proceedings in Applied Mathematics and Mechanics

JF - PAMM - Proceedings in Applied Mathematics and Mechanics

SN - 1617-7061

IS - 1

M1 - e202100075

ER -

By the same author(s)