Details
| Original language | English |
|---|---|
| Pages (from-to) | 81-94 |
| Number of pages | 14 |
| Journal | Structural and Multidisciplinary Optimization |
| Volume | 54 |
| Issue number | 1 |
| Publication status | Published - 1 Jul 2016 |
| Externally published | Yes |
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.
Keywords
- Discontinuous phase field, Growth-based topology optimization, Regularization, Variational modeling
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Mathematics(all)
- Control and Optimization
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
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In: Structural and Multidisciplinary Optimization, Vol. 54, No. 1, 01.07.2016, p. 81-94.
Research output: Contribution to journal › Article › Research › 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 -