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<p>This paper proposes a method to alleviate shear locking in the direct FE<sup>2</sup> method using incompatible elements. The direct FE<sup>2</sup> method can perform efficiently multiscale analysis of composite structures by establishing a direct relation between macro and micro elements using multipoint constraints. However, parasitic shear strains in macro elements under bending deformations cause shear locking in the direct FE<sup>2</sup> method. To address this issue, the generalized displacements of incompatible elements are applied to the boundary conditions between macro and micro elements. The present method effectively alleviate shear locking in the direct FE<sup>2</sup> method to improve the accuracy of solutions.</p>

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Improvement of the Direct FE2 Method for Multiscale Analysis of Composite Structures Using Incompatible Elements

  • 期刊论文

  • 发表日期：

    2025年10月10日

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  • Ki-Beom Kim,
  • Hyun-Gyu Kim

摘要

This paper proposes a method to alleviate shear locking in the direct FE2 method using incompatible elements. The direct FE2 method can perform efficiently multiscale analysis of composite structures by establishing a direct relation between macro and micro elements using multipoint constraints. However, parasitic shear strains in macro elements under bending deformations cause shear locking in the direct FE2 method. To address this issue, the generalized displacements of incompatible elements are applied to the boundary conditions between macro and micro elements. The present method effectively alleviate shear locking in the direct FE2 method to improve the accuracy of solutions.