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<p>In this paper, we propose an innovative design framework for synergistic optimization of multiple mechanical properties in response to the urgent need for lightweight, high-stiffness, and near-zero Poisson’s ratio metamaterials in aerospace. The arc-star shape honeycomb-rodless (ASH-R) and the bidirectional re-entrant honeycomb-rodless (BRH-R) are constructed, providing ideal solutions for eliminating the imbalance of strength-mass ratio caused by insufficient relative density of traditional honeycomb structures. Through systematic finite element analysis (FEA), the mechanical behaviors of the two honeycombs are comprehensively evaluated. Based on the analysis data, the response surface modeling (RSM) is accurately constructed, which provides a reliable basis for the subsequent optimization. Combining the non-dominated sorting genetic algorithm-II (NSGA-II) and RSM, multi-objective optimization design is carried out for ASH-R and BRH-R to achieve multi-objective synergistic optimization, such as equivalent tensile modulus, bending modulus, mass and Poisson’s ratio. The equivalent tensile modulus and equivalent bending modulus of the ASH-R are increased by 710% and 123.2%, respectively, and the equivalent out-of-plane bending modulus of the BRH-R is increased by 852.7%, which significantly enhances the load-bearing capacity of the structure. Both structures also realize the lightweight design to a certain extent while guaranteeing the performance. The Poisson’s ratio of the structure is controlled within a very small range, which is close to the ideal zero Poisson’s ratio state ( − 0.0192). In addition, the in-plane tensile test, cantilever beam test and three-point bending test are used. It is found that the ASH-R has excellent deformation capability, and maintains the structural integrity when subjected to large deformation, while the BRH-R shows higher equivalent tensile modulus, and possesses stronger deformation resistance under the tensile load. The experimental and simulation errors are both less than 9.5%. The superior anti-deformation ability exhibited by the metamaterial also provides a design idea and theory for in-plane deformation and out-of-plane load-bearing of the new generation of morphing aircraft. This also offers opportunities for better engineering practice.</p>

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Multi-objective optimization of ASH-R and BRH-R metamaterials for near-zero Poisson’s ratio and enhanced modulus

  • 期刊论文

  • 发表日期：

    2026年8月3日

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  • Haitao Liu,
  • Huanzhao Wei,
  • Chenyu Zhao

摘要

In this paper, we propose an innovative design framework for synergistic optimization of multiple mechanical properties in response to the urgent need for lightweight, high-stiffness, and near-zero Poisson’s ratio metamaterials in aerospace. The arc-star shape honeycomb-rodless (ASH-R) and the bidirectional re-entrant honeycomb-rodless (BRH-R) are constructed, providing ideal solutions for eliminating the imbalance of strength-mass ratio caused by insufficient relative density of traditional honeycomb structures. Through systematic finite element analysis (FEA), the mechanical behaviors of the two honeycombs are comprehensively evaluated. Based on the analysis data, the response surface modeling (RSM) is accurately constructed, which provides a reliable basis for the subsequent optimization. Combining the non-dominated sorting genetic algorithm-II (NSGA-II) and RSM, multi-objective optimization design is carried out for ASH-R and BRH-R to achieve multi-objective synergistic optimization, such as equivalent tensile modulus, bending modulus, mass and Poisson’s ratio. The equivalent tensile modulus and equivalent bending modulus of the ASH-R are increased by 710% and 123.2%, respectively, and the equivalent out-of-plane bending modulus of the BRH-R is increased by 852.7%, which significantly enhances the load-bearing capacity of the structure. Both structures also realize the lightweight design to a certain extent while guaranteeing the performance. The Poisson’s ratio of the structure is controlled within a very small range, which is close to the ideal zero Poisson’s ratio state ( − 0.0192). In addition, the in-plane tensile test, cantilever beam test and three-point bending test are used. It is found that the ASH-R has excellent deformation capability, and maintains the structural integrity when subjected to large deformation, while the BRH-R shows higher equivalent tensile modulus, and possesses stronger deformation resistance under the tensile load. The experimental and simulation errors are both less than 9.5%. The superior anti-deformation ability exhibited by the metamaterial also provides a design idea and theory for in-plane deformation and out-of-plane load-bearing of the new generation of morphing aircraft. This also offers opportunities for better engineering practice.