Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 81-94 |
| Seitenumfang | 14 |
| Fachzeitschrift | Structural and Multidisciplinary Optimization |
| Jahrgang | 54 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 1 Juli 2016 |
| Extern publiziert | Ja |
Abstract
Numerical instabilities cause the well-known problem of checkerboarding during topology optimization: elements that possess material are periodically neighbored to elements that are material-free. Furthermore, such numerical solutions depend on the finite element mesh and no reasonable processing techniques exist for manufacture. Thus, integral- or gradient-based regularization techniques are usually applied during topology optimization. In this paper, a novel approach to regularization is derived for a recently published variational approach to topology optimization that is based on material growth. The presented approach shares some similarities with the discontinuous Galerkin method and completely removes consideration of additional nodal quantities or complex integration schemes. The derivation and numerical treatment of the resulting phase field equation as well as exemplary numerical results are presented.
ASJC Scopus Sachgebiete
- Informatik (insg.)
- Software
- Ingenieurwesen (insg.)
- Steuerungs- und Systemtechnik
- Informatik (insg.)
- Angewandte Informatik
- Mathematik (insg.)
- Steuerung und Optimierung
- Informatik (insg.)
- Computergrafik und computergestütztes Design
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in: Structural and Multidisciplinary Optimization, Jahrgang 54, Nr. 1, 01.07.2016, S. 81-94.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A discontinuous phase field approach to variational growth-based topology optimization
AU - Junker, Philipp
AU - Hackl, Klaus
N1 - Publisher Copyright: © 2016, Springer-Verlag Berlin Heidelberg.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - Numerical instabilities cause the well-known problem of checkerboarding during topology optimization: elements that possess material are periodically neighbored to elements that are material-free. Furthermore, such numerical solutions depend on the finite element mesh and no reasonable processing techniques exist for manufacture. Thus, integral- or gradient-based regularization techniques are usually applied during topology optimization. In this paper, a novel approach to regularization is derived for a recently published variational approach to topology optimization that is based on material growth. The presented approach shares some similarities with the discontinuous Galerkin method and completely removes consideration of additional nodal quantities or complex integration schemes. The derivation and numerical treatment of the resulting phase field equation as well as exemplary numerical results are presented.
AB - Numerical instabilities cause the well-known problem of checkerboarding during topology optimization: elements that possess material are periodically neighbored to elements that are material-free. Furthermore, such numerical solutions depend on the finite element mesh and no reasonable processing techniques exist for manufacture. Thus, integral- or gradient-based regularization techniques are usually applied during topology optimization. In this paper, a novel approach to regularization is derived for a recently published variational approach to topology optimization that is based on material growth. The presented approach shares some similarities with the discontinuous Galerkin method and completely removes consideration of additional nodal quantities or complex integration schemes. The derivation and numerical treatment of the resulting phase field equation as well as exemplary numerical results are presented.
KW - Discontinuous phase field
KW - Growth-based topology optimization
KW - Regularization
KW - Variational modeling
UR - http://www.scopus.com/inward/record.url?scp=84955250799&partnerID=8YFLogxK
U2 - 10.1007/s00158-016-1398-1
DO - 10.1007/s00158-016-1398-1
M3 - Article
VL - 54
SP - 81
EP - 94
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
SN - 1615-147X
IS - 1
ER -