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- Title
Multi-phase Material Topology Optimization Design of Heat Dissipation Structures Considesing Topology-dependent Heat Sources.
- Authors
ZHAO Qinghai; ZHANG Hongxin; JIANG Rongchao; HUA Qingsong; YUAN Lin
- Abstract
Considering the topology-dependent heat source problems in the heat conduction topology optimization design, the mathematical model of multi-phase material topology optimization of heat dissipation structures was constructed. The objective function was assigned to dissipation of heat potential capacity, combined with volume fraction constant conditions. The variable density theory was introduced to represent the multi-phase material interpolation model based on ordered-solid isotropic microstructures with penalization (Ordered-SIMP) methodology. Then the sensitivity analysis of topology-dependent and topology-independent heat sources was executed respectively, and the iteration format of design variables were solved by optimization criterion. The partial differential equation filter method was implemented to suppress numerical instability in the optimization processes. Through the 2D/3D numerical models, the meaningful conclusions of topology-dependent heat sources, topology-independent heat sources and coupled heat sources were illustrated under different boundary conditions. The proposed method is effective and feasible in solving the multi-phase material topology optimization problem of topology-dependent heat sources.
- Subjects
HEAT; PARTIAL differential equations; HEAT conduction; TOPOLOGY; HEAT capacity; ALGEBRAIC topology
- Publication
China Mechanical Engineering, 2020, Vol 31, Issue 20, p2403
- ISSN
1004-132X
- Publication type
Article
- DOI
10.3969/j.issn.1004-132X.2020.20.002