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

215 Downloads (Orbit)

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

Access to Document

10.1016/j.cma.2020.113170

FulltextAccepted author manuscript, 2.63 MBLicence: CC BY-NC-ND

OpenUrl availability

Full text

InnoTop: InnoTop, Interactive, Non-Linear, High-Resolution Topology Optimization
Sigmund, O. (Project Coordinator), Petersen, M. L. (Project Manager), Carlberg, L. K. (Project Manager), Aage, N. (Project Participant), Andreasen, C. S. (Project Participant), Wang, F. (Project Participant), Bærentzen, J. A. (Project Participant) & Assentoft, D. (Project Manager)
01/09/2017 → 31/08/2024
Project: Research

Cite this

@article{e557b9c1c5fd4def802b138312b36f73,

title = "Inverse homogenization using isogeometric shape optimization",

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.",

keywords = "Inverse homogenization, Shape optimization, Isogeometric analysis, Optimal microstructures",

author = "L{\"u}deker, \{Julian K.\} and Ole Sigmund and Benedikt Kriegesmann",

year = "2020",

doi = "10.1016/j.cma.2020.113170",

language = "English",

volume = "368",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0045-7825",

publisher = "Elsevier",

}

TY - JOUR

T1 - Inverse homogenization using isogeometric shape optimization

AU - Lüdeker, Julian K.

AU - Sigmund, Ole

AU - Kriegesmann, Benedikt

PY - 2020

Y1 - 2020

N2 - 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.

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

M3 - Journal article

SN - 0045-7825

VL - 368

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

M1 - 113170

ER -

Inverse homogenization using isogeometric shape optimization

Abstract

Keywords

Access to Document

OpenUrl availability

Fingerprint

Projects

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

Cite this