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

authored by: Miriam Kick, Philipp Junker
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.
Organisation(s): Institute of Continuum Mechanics
Type: Conference article
Journal: PAMM - Proceedings in Applied Mathematics and Mechanics
Volume: 21
ISSN: 1617-7061
Publication date: 14.12.2021
Publication status: Published
Peer reviewed: Yes
Electronic version(s): https://doi.org/10.1002/pamm.202100075 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@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",
journal = "PAMM - Proceedings in Applied Mathematics and Mechanics",
issn = "1617-7061",
publisher = "Wiley Online Library",
number = "1",
}