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<p>The periodic topological optimization (TO) technology of anisotropic heat conduction structures is proposed by utilizing element-free Galerkin (EFG) method, while periodic constraints are applied through equally reallocating relative densities of nodes and sensitivities of objective functions. The validity and advantages of the proposed technology are verified. Compared to the finite element method, the optimal EFG periodic structures have fewer intermediate densities and smoother boundaries without any filtering techniques. The influences of number of design subdomains, thermal conductivity factor, and off-angle on optimum EFG periodic structures and their thermal performance are investigated through numerical examples, and proper selections of the above parameters are advised. The temperature field of anisotropic EFG periodic structure is significantly better than isotropic EFG periodic structure, which shows that the anisotropic material can effectively improve the heat rejection characteristic of heat conduction structures when thermal conductivity factors and off-angles are chosen reasonably. Considering the heat transfer performance, a reasonable range of the number of design subdomains, thermal conductivity factor and off-angle can be obtained in the anisotropic CPU heat dissipation fan, which corresponds to <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(6 \times 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>6</mn> <mo>×</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation>, 0.2 ~ 0.8 and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(0^{ \circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>0</mn> <mo>∘</mo> </msup> </math></EquationSource> </InlineEquation> ~ <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(15^{ \circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>15</mn> <mo>∘</mo> </msup> </math></EquationSource> </InlineEquation>, respectively.</p>

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Periodic topology optimization of anisotropic heat conduction structure using the element-free Galerkin method

  • 期刊论文

  • 发表日期：

    2025年6月17日

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  • Jianping Zhang,
  • Jiahong Chen,
  • Jiangpeng Peng,
  • Tingxian Liu,
  • Shuying Wu,
  • Haiming Zhang,
  • Zhijian Zuo

摘要

The periodic topological optimization (TO) technology of anisotropic heat conduction structures is proposed by utilizing element-free Galerkin (EFG) method, while periodic constraints are applied through equally reallocating relative densities of nodes and sensitivities of objective functions. The validity and advantages of the proposed technology are verified. Compared to the finite element method, the optimal EFG periodic structures have fewer intermediate densities and smoother boundaries without any filtering techniques. The influences of number of design subdomains, thermal conductivity factor, and off-angle on optimum EFG periodic structures and their thermal performance are investigated through numerical examples, and proper selections of the above parameters are advised. The temperature field of anisotropic EFG periodic structure is significantly better than isotropic EFG periodic structure, which shows that the anisotropic material can effectively improve the heat rejection characteristic of heat conduction structures when thermal conductivity factors and off-angles are chosen reasonably. Considering the heat transfer performance, a reasonable range of the number of design subdomains, thermal conductivity factor and off-angle can be obtained in the anisotropic CPU heat dissipation fan, which corresponds to \(6 \times 2\) 6 × 2 , 0.2 ~ 0.8 and \(0^{ \circ }\) 0 ∘  ~  \(15^{ \circ }\) 15 ∘ , respectively.