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<p>To address the limitations of lattice structures under uncertain loading directions and to achieve comparable elastic properties in multiple orientations, this study proposes a microbeam-enhanced plate lattice design to enable quasi-isotropic elastic behavior. Finite element homogenization reveals that both the elastic modulus and shear modulus increase with rod diameter, while the Poisson’s ratio exhibits a quadratic relationship with rod diameter, initially increasing and then decreasing. The influence of microbeam design on the elastic modulus is most pronounced at a rod diameter of 0.6&#xa0;mm. Normalized stiffness analyses indicate that the elastic and bulk moduli initially decrease and then increase with rod diameter, while the shear modulus rises sharply beyond approximately 0.4&#xa0;mm. According to the Zener anisotropy index, when the plate thickness is below 0.3 mm, the microbeam design effectively achieves elastic isotropy, with two distinct parameter windows for achieving isotropy. Compression tests on the multi-cell specimens along the [100], [110], and [111] directions show that the elastically isotropic lattice structures demonstrate similar linear elastic phases and fluctuating plateau phases, with Pearson correlation coefficients exceeding 0.97 and elastic moduli varying by less than 5%. Although the elastic modulus is similar across different directions, differences in stress characteristics lead to a yield strength variation of approximately 15%, with pronounced nodal stress concentrations observed particularly along the [100] direction. These findings demonstrate that microbeam integration offers an efficient pathway to designing metamaterials with uniform, multi-directional stiffness and tunable yield response.</p>

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Elastic Isotropic Lattice Structures: Microbeam Design and Mechanical Characterization

  • 期刊论文

  • 发表日期：

    2025年9月25日

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  • Liang Zhifeng,
  • Xu Mingsan,
  • Lin Junjie,
  • Wei Tieping,
  • Ye Jianhua

摘要

To address the limitations of lattice structures under uncertain loading directions and to achieve comparable elastic properties in multiple orientations, this study proposes a microbeam-enhanced plate lattice design to enable quasi-isotropic elastic behavior. Finite element homogenization reveals that both the elastic modulus and shear modulus increase with rod diameter, while the Poisson’s ratio exhibits a quadratic relationship with rod diameter, initially increasing and then decreasing. The influence of microbeam design on the elastic modulus is most pronounced at a rod diameter of 0.6 mm. Normalized stiffness analyses indicate that the elastic and bulk moduli initially decrease and then increase with rod diameter, while the shear modulus rises sharply beyond approximately 0.4 mm. According to the Zener anisotropy index, when the plate thickness is below 0.3 mm, the microbeam design effectively achieves elastic isotropy, with two distinct parameter windows for achieving isotropy. Compression tests on the multi-cell specimens along the [100], [110], and [111] directions show that the elastically isotropic lattice structures demonstrate similar linear elastic phases and fluctuating plateau phases, with Pearson correlation coefficients exceeding 0.97 and elastic moduli varying by less than 5%. Although the elastic modulus is similar across different directions, differences in stress characteristics lead to a yield strength variation of approximately 15%, with pronounced nodal stress concentrations observed particularly along the [100] direction. These findings demonstrate that microbeam integration offers an efficient pathway to designing metamaterials with uniform, multi-directional stiffness and tunable yield response.