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

authored by: Miriam Kick, Philipp Junker
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.
Organisation(s): Institute of Continuum Mechanics
Type: Conference article
Journal: PAMM - Proceedings in Applied Mathematics and Mechanics
Volume: 23
ISSN: 1617-7061
Publication date: 31.05.2023
Publication status: Published
Peer reviewed: Yes
Electronic version(s): https://doi.org/10.1002/pamm.202200045 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{f59382b9fb7647b5bcfbfcfbbe756d67,
title = "On the inclusion of plastic material behavior within the thermodynamic topology optimization",
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",
year = "2023",
month = may,
day = "31",
doi = "10.1002/pamm.202200045",
language = "English",
volume = "23",
journal = "PAMM - Proceedings in Applied Mathematics and Mechanics",
issn = "1617-7061",
publisher = "Wiley Online Library",
number = "1",
}