Details
Original language | English |
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Article number | e202100075 |
Journal | PAMM - Proceedings in Applied Mathematics and Mechanics |
Volume | 21 |
Issue number | 1 |
Publication status | Published - 14 Dec 2021 |
Abstract
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In: PAMM - Proceedings in Applied Mathematics and Mechanics, Vol. 21, No. 1, e202100075, 14.12.2021.
Research output: Contribution to journal › Conference article › Research › peer review
}
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 -