Topology optimization involving thermo-elastic stress loads

Structural topology optimization of thermo-elastic problems is investigated in this paper. The key issues about the penalty models of the element stiffness and thermal stress load of the finite element model are highlighted. The penalization of thermal stress coefficient (TSC) measured by the produc...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2010-11, Vol.42 (5), p.725-738
Main Authors: Gao, Tong, Zhang, Weihong
Format: Article
Language:English
Subjects:
Computational Mathematics and Numerical Analysis
Conduction heating
Conductive heat transfer
Engineering
Engineering Design
Finite element method
Interpolation
Load
Mathematical models
Modulus of elasticity
Research Paper
Sensitivity analysis
Stiffness
Theoretical and Applied Mechanics
Thermal expansion
Thermal stress
Time dependence
Topology optimization
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Summary:Structural topology optimization of thermo-elastic problems is investigated in this paper. The key issues about the penalty models of the element stiffness and thermal stress load of the finite element model are highlighted. The penalization of thermal stress coefficient (TSC) measured by the product between thermal expansion coefficient and Young’s modulus is proposed for the first time to characterize the dependence of the thermal stress load upon the design variables defined by element pseudo-densities. In such a way, the element stiffness and the thermal stress load can be penalized independently in terms of element pseudo-density. This formulation demonstrates especially its capability of solving problems with multiphase materials. Besides, the comparison study shows that the interpolation model RAMP is more advantageous than the SIMP in our case. Furthermore, sensitivity analysis of the structural mean compliance is developed in the case of steady-state heat conduction. Numerical examples of two-phase and three-phase materials are presented.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-010-0527-5