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<p>An enriched finite element method (enriched FEM)-based numerical scheme is developed to model weak discontinuities and singularities in checkerboard structures composed of two materials with contrasts in thermal conductivities. Due to the necessity of modeling singularities in the temperature gradient at material junctions, a non-conforming mesh is employed at material interfaces, and the level-set method is used to represent weak discontinuities along interfaces. The element containing the junction is enriched with four asymptotic junction enrichment basis functions, which renders a singular gradient at the intersection of interfaces, as well as the weak discontinuity along each material interface. Numerical studies are conducted to assess the convergence rate and effectiveness of the enriched finite element method compared to the standard finite element method for different thermal conductivity contrasts.</p>

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An enriched finite element model for heat transfer simulation of checkerboard structures with singular behaviour

  • 期刊论文

  • 发表日期：

    2025年12月2日

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  • A. H. Keshani,
  • M. Komijani,
  • T. Goudarzi,
  • P. Wriggers

摘要

An enriched finite element method (enriched FEM)-based numerical scheme is developed to model weak discontinuities and singularities in checkerboard structures composed of two materials with contrasts in thermal conductivities. Due to the necessity of modeling singularities in the temperature gradient at material junctions, a non-conforming mesh is employed at material interfaces, and the level-set method is used to represent weak discontinuities along interfaces. The element containing the junction is enriched with four asymptotic junction enrichment basis functions, which renders a singular gradient at the intersection of interfaces, as well as the weak discontinuity along each material interface. Numerical studies are conducted to assess the convergence rate and effectiveness of the enriched finite element method compared to the standard finite element method for different thermal conductivity contrasts.