Topology optimization of thermo-elastic structures with multiple materials under mass constraint

Gao, Tong; Xu, Pengli; Zhang, Weihong

doi:10.1016/j.compstruc.2016.06.002

Cited by 87 publications

(22 citation statements)

References 33 publications

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“…volume constraint considering the change in temperature 8 . The general thermal stress coefficient (GTSC) is penalized for thermal‐elastic TO under design‐dependent loads for minimizing structural compliance 9,10 . However, Pedersen and Pedersen 11 argued that the compliance should not be set as an objective function for solving thermal‐elastic TO problems due to the fact that minimum compliance induces high‐level stress and inactivity of the volume limit.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of thermo‐elastic structures considering stiffness, strength, and temperature constraints over a wide range of temperatures

Meng

Huang

et al. 2022

Numerical Meth Engineering

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This article proposes a thermo‐elastic topology optimization with stiffness, strength, and temperature constraints involving a wide range of temperatures. The state equations for the linear elasticity and heat conduction are considered. Formulations involving minimum volume with compliance, stress and temperature limits under multiple thermal conditions are presented. The global stress and regional temperature metrics adopting the corrected aggregation function are used to evaluate the maximal stress and temperature, respectively. The stress stabilizing scheme is utilized to overcome the iteration oscillation stemming from highly nonlinear behavior of thermal stress constraints for multiple thermal conditions. To achieve clear optimized topologies under design‐dependent loads, a continuation strategy for the relaxed Heaviside function is developed. Two 2D numerical examples are employed to illustrate the validity and practicability of the proposed approach. The results show that the optimized structures designed by a certain temperature may be damaged or have thermal deformations once the ambient temperature changes due to the thermal residual stress. The designs covering wide temperature range achieved by neglecting stiffness or strength constraints can result in stiffness reduction or strength failure. It is therefore imperative for the optimization to adopt a multi‐physics model involving multi‐constraints over a wide temperature range.

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Section: Introductionmentioning

confidence: 99%

Topology optimization of thermo‐elastic structures considering stiffness, strength, and temperature constraints over a wide range of temperatures

Meng

Huang

et al. 2022

Numerical Meth Engineering

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“…Topology optimization was originally formulated for structural problems [39][40][41], where the design variables define the presence of material at a point. According to the possibility of achieving a discrete material distribution in terms of continuous design variables, this technique has been successfully extended to heat transfer [42,43], electro-mechanical [44], fluid flow [45], dynamic fatigue [46,47], thermo-mechanical [48,49] and even electro-thermo-mechanical [50] applications. Regarding the design of metamaterials and metadevices, the design variables are rather used to choose between materials with highly contrasting properties.…”

Section: Introductionmentioning

confidence: 99%

Computational design of thermo-mechanical metadevices using topology optimization

Hostos

Fachinotti

Peralta

2021

Applied Mathematical Modelling

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This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

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“…In previous researches, the thermal stress coefficient (TSC) and the improved general thermal stress coefficient (GTSC) were proposed to solve single material and multiple materials problem, respectively. 16,17 The compliance and strain energy minimization for TO were compared to analyze their characteristics. 18 Different TOs with thermo-elastic buckling or stress constraint were presented by means of topological sensitivity.…”

Section: Introductionmentioning

confidence: 99%

Thermo‐elastic topology optimization with stress and temperature constraints

Meng

Wang

et al. 2021

Numerical Meth Engineering

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A thermo-elastic topology optimization with stress and temperature constraints is proposed to attack the complex multiphysics problem in this paper. Based on the rational approximation of material properties (RAMP), the coupled equations of mechanic and temperature field are solved. Two optimization problems, volume minimization with temperature and stress constraints, and traditional compliance minimization with volume and temperature constraints, are discussed for comparison. The stress stabilizing control scheme (SSCS) combined with global stress measure is presented to tackle highly nonlinear and local nature of stress with thermal expansion in varying temperature field. The adjoint method is applied to achieve the sensitivity of multiphysics field and the density function is updated utilizing the method of moving asymptotes (MMA).Representative examples are investigated to demonstrate the effectiveness and utility of the proposed method. Clear topology and stable iterative process can be obtained for complex coupled problem by means of the SSCS. Meanwhile, the topology with stress and temperature constraints has obvious sensitivity to even subtle change in temperature. The optimization design considering several stress constraints under multithermal conditions can work well in different temperature ranges.

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Topology optimization of thermo-elastic structures with multiple materials under mass constraint

Cited by 87 publications

References 33 publications

Topology optimization of thermo‐elastic structures considering stiffness, strength, and temperature constraints over a wide range of temperatures

Topology optimization of thermo‐elastic structures considering stiffness, strength, and temperature constraints over a wide range of temperatures

Computational design of thermo-mechanical metadevices using topology optimization

Thermo‐elastic topology optimization with stress and temperature constraints

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