Details
| Original language | English |
|---|---|
| Pages (from-to) | 2227-2255 |
| Number of pages | 29 |
| Journal | Structural and Multidisciplinary Optimization |
| Volume | 59 |
| Issue number | 6 |
| Publication status | Published - 15 Feb 2019 |
Abstract
A strategy for tension/compression anisotropy enhancement of topology optimization approaches is presented. To this end, a spectral decomposition of stresses and strains into tension and compression contributions allows for a multi-material optimization that favors tension or compression affine materials, dependent on the predominant local state. Numerical computations hence yield the topology of a construction part with maximum stiffness at constraint design volume. Additionally, the spatial distribution of a tension affine and a compression affine material is optimized, which is motivated by concrete engineering: financially cheap material, for example concrete, is applied in compression dominant regions in favor of stiffer but more expensive material, which is applied only in tension dominant regions, for example steel. The enhancement is applied both to a classical (mathematical) optimization method and the thermodynamic topology optimization. Several numerical examples are investigated and yield design suggestions for tension/compression sensitive construction parts, e.g., for future lightweight structures made of reinforced concrete.
Keywords
- MRM, Multi-material topology optimization, Tension/compression anisotropy, Thermodynamic topology optimization
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Mathematics(all)
- Control and Optimization
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In: Structural and Multidisciplinary Optimization, Vol. 59, No. 6, 15.02.2019, p. 2227-2255.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Tension/compression anisotropy enhanced topology design
AU - Gaganelis, Georgios
AU - Jantos, Dustin Roman
AU - Mark, Peter
AU - Junker, Philipp
N1 - Publisher Copyright: © 2019, Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/2/15
Y1 - 2019/2/15
N2 - A strategy for tension/compression anisotropy enhancement of topology optimization approaches is presented. To this end, a spectral decomposition of stresses and strains into tension and compression contributions allows for a multi-material optimization that favors tension or compression affine materials, dependent on the predominant local state. Numerical computations hence yield the topology of a construction part with maximum stiffness at constraint design volume. Additionally, the spatial distribution of a tension affine and a compression affine material is optimized, which is motivated by concrete engineering: financially cheap material, for example concrete, is applied in compression dominant regions in favor of stiffer but more expensive material, which is applied only in tension dominant regions, for example steel. The enhancement is applied both to a classical (mathematical) optimization method and the thermodynamic topology optimization. Several numerical examples are investigated and yield design suggestions for tension/compression sensitive construction parts, e.g., for future lightweight structures made of reinforced concrete.
AB - A strategy for tension/compression anisotropy enhancement of topology optimization approaches is presented. To this end, a spectral decomposition of stresses and strains into tension and compression contributions allows for a multi-material optimization that favors tension or compression affine materials, dependent on the predominant local state. Numerical computations hence yield the topology of a construction part with maximum stiffness at constraint design volume. Additionally, the spatial distribution of a tension affine and a compression affine material is optimized, which is motivated by concrete engineering: financially cheap material, for example concrete, is applied in compression dominant regions in favor of stiffer but more expensive material, which is applied only in tension dominant regions, for example steel. The enhancement is applied both to a classical (mathematical) optimization method and the thermodynamic topology optimization. Several numerical examples are investigated and yield design suggestions for tension/compression sensitive construction parts, e.g., for future lightweight structures made of reinforced concrete.
KW - MRM
KW - Multi-material topology optimization
KW - Tension/compression anisotropy
KW - Thermodynamic topology optimization
UR - http://www.scopus.com/inward/record.url?scp=85061629103&partnerID=8YFLogxK
U2 - 10.1007/s00158-018-02189-0
DO - 10.1007/s00158-018-02189-0
M3 - Article
VL - 59
SP - 2227
EP - 2255
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
SN - 1615-147X
IS - 6
ER -