Stress constrained thermo-elastic topology optimization with varying temperature fields via augmented topological sensitivity based level-set

Engineering structures must often be designed to resist thermally induced stresses. Significant progress has been made on the design of such structures through thermo-elastic topology optimization. However, a computationally efficient framework to handle stress-constrained large-scale problems is la...

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Published inStructural and multidisciplinary optimization Vol. 56; no. 6; pp. 1413 - 1427
Main Authors Deng, Shiguang, Suresh, Krishnan
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2017
Springer Nature B.V
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ISSN1615-147X
1615-1488
DOI10.1007/s00158-017-1732-2

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Abstract Engineering structures must often be designed to resist thermally induced stresses. Significant progress has been made on the design of such structures through thermo-elastic topology optimization. However, a computationally efficient framework to handle stress-constrained large-scale problems is lacking. The main contribution of this paper is to address this limitation. In particular, a unified topological-sensitivity (TS) based level-set approach is presented in this paper for optimizing thermo-elastic structures subject to non-uniform temperatures. The TS fields for various thermo-elastic objectives are derived, and, to address multiple constraints, an augmented Lagrangian method is developed to explore Pareto topologies. Numerical examples demonstrate the capability of the proposed framework to solve large-scale design problems. Comparison is made between pure elastic problems, and its thermo-elastic counterpart, shedding light on the influence of thermo-elastic coupling on optimized topologies.
AbstractList Engineering structures must often be designed to resist thermally induced stresses. Significant progress has been made on the design of such structures through thermo-elastic topology optimization. However, a computationally efficient framework to handle stress-constrained large-scale problems is lacking. The main contribution of this paper is to address this limitation. In particular, a unified topological-sensitivity (TS) based level-set approach is presented in this paper for optimizing thermo-elastic structures subject to non-uniform temperatures. The TS fields for various thermo-elastic objectives are derived, and, to address multiple constraints, an augmented Lagrangian method is developed to explore Pareto topologies. Numerical examples demonstrate the capability of the proposed framework to solve large-scale design problems. Comparison is made between pure elastic problems, and its thermo-elastic counterpart, shedding light on the influence of thermo-elastic coupling on optimized topologies.
Author Deng, Shiguang
Suresh, Krishnan
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Keywords Varying temperature field
Thermo-elastic topology optimization
Stress constraint
Topological sensitivity
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Snippet Engineering structures must often be designed to resist thermally induced stresses. Significant progress has been made on the design of such structures through...
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SubjectTerms Computational Mathematics and Numerical Analysis
Constraints
Engineering
Engineering Design
Research Paper
Sensitivity
Theoretical and Applied Mechanics
Topology optimization
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Title Stress constrained thermo-elastic topology optimization with varying temperature fields via augmented topological sensitivity based level-set
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