Inverse homogenization using isogeometric shape optimization

Julian K. Lüdeker; Ole Sigmund; Benedikt Kriegesmann

doi:10.1016/j.cma.2020.113170

Inverse homogenization using isogeometric shape optimization

Julian K. Lüdeker^*, Ole Sigmund, Benedikt Kriegesmann

^*Corresponding author for this work

Hamburg University of Technology

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

Finding periodic microstructures with optimal elastic properties is usually tackled by a highly resolved, regular finite element model and solid isotropic material penalization. This procedure not only has many advantages, but also requires a comparably high computational effort and challenges in representing stresses accurately. Therefore, an isogeometric shape optimization approach is applied to the inverse homogenization problem and combined with a reconstruction procedure for nearly optimal rank-3 laminates, which provides an efficient solution strategy with more accurate stress modelling. This allows to investigate the sensitivity of optimized microstructures in terms of stress concentrations.

Original language	English
Article number	113170
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	368
Number of pages	16
ISSN	0045-7825
DOIs	https://doi.org/10.1016/j.cma.2020.113170
Publication status	Published - 2020

Keywords

Inverse homogenization
Shape optimization
Isogeometric analysis
Optimal microstructures

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10.1016/j.cma.2020.113170

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InnoTop: InnoTop, Interactive, Non-Linear, High-Resolution Topology Optimization
Sigmund, O., Petersen, M. L., Carlberg, L. K., Aage, N., Andreasen, C. S., Wang, F., Bærentzen, J. A. & Miladinovic, K. S.
01/09/2017 → 28/02/2024
Project: Research

Cite this

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abstract = "Finding periodic microstructures with optimal elastic properties is usually tackled by a highly resolved, regular finite element model and solid isotropic material penalization. This procedure not only has many advantages, but also requires a comparably high computational effort and challenges in representing stresses accurately. Therefore, an isogeometric shape optimization approach is applied to the inverse homogenization problem and combined with a reconstruction procedure for nearly optimal rank-3 laminates, which provides an efficient solution strategy with more accurate stress modelling. This allows to investigate the sensitivity of optimized microstructures in terms of stress concentrations.",

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AU - Lüdeker, Julian K.

AU - Sigmund, Ole

AU - Kriegesmann, Benedikt

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AB - Finding periodic microstructures with optimal elastic properties is usually tackled by a highly resolved, regular finite element model and solid isotropic material penalization. This procedure not only has many advantages, but also requires a comparably high computational effort and challenges in representing stresses accurately. Therefore, an isogeometric shape optimization approach is applied to the inverse homogenization problem and combined with a reconstruction procedure for nearly optimal rank-3 laminates, which provides an efficient solution strategy with more accurate stress modelling. This allows to investigate the sensitivity of optimized microstructures in terms of stress concentrations.

KW - Inverse homogenization

KW - Shape optimization

KW - Isogeometric analysis

KW - Optimal microstructures

U2 - 10.1016/j.cma.2020.113170

DO - 10.1016/j.cma.2020.113170

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JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

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Inverse homogenization using isogeometric shape optimization

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Keywords

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InnoTop: InnoTop, Interactive, Non-Linear, High-Resolution Topology Optimization

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