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This paper presents a stress-based topology optimization (TO) method for systematic designing of 2D auxetic microstructure Auxetics exhibit unique mechanical properties characterized by lateral expansion (or contraction) when subjected to uniaxial tension (or compression). These materials have gained significant interest due to their potential applications in various fields, including aerospace, automotive, sports industry, defense sector, and so on. Density-based TO, relying on the Solid Isotropic Material with Penalization (SIMP) model, is used and the P-norm stress measure is adopted. The stress penalization is exploited to overcome the singularity phenomenon arising from the introduction of stress constraints within the framework of TO. The method of moving asymptotes (MMA) is employed as an optimization solver.

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Stress-Driven Topology Optimization Based Design of Auxetic Microstructure

  • 会议论文

  • 发表日期：

    2025年

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  • Anurag Gupta,
  • U. Meenu Krishnan,
  • Abhinav Gupta,
  • Rajib Chowdhury

摘要

This paper presents a stress-based topology optimization (TO) method for systematic designing of 2D auxetic microstructure Auxetics exhibit unique mechanical properties characterized by lateral expansion (or contraction) when subjected to uniaxial tension (or compression). These materials have gained significant interest due to their potential applications in various fields, including aerospace, automotive, sports industry, defense sector, and so on. Density-based TO, relying on the Solid Isotropic Material with Penalization (SIMP) model, is used and the P-norm stress measure is adopted. The stress penalization is exploited to overcome the singularity phenomenon arising from the introduction of stress constraints within the framework of TO. The method of moving asymptotes (MMA) is employed as an optimization solver.