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Functionally graded material (FGMs) holds significant relevance in diverse engineering applications. It should be noted that Topology Optimization (TO) is a potent method utilized to optimize the distribution of materials within a designated design area with the aim of attaining optimal performance. However, its application to design auxetics which has a negative Poisson ratio has been limited due to various challenges emanating from the computational demand. To address this challenge, we describe the necessary technology and methodologies to perform TO with FGMs. Numerical examples demonstrate the effectiveness of the TO approach to design negative Poisson’s ratio metamaterial with FGMs. The results shown in this study also demonstrate the potential for utilizing TO in practical applications with auxetics and different material gradation.

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Topology Optimization of Metamaterials Using Functionally Graded Material

  • 会议论文

  • 发表日期：

    2025年

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

摘要

Functionally graded material (FGMs) holds significant relevance in diverse engineering applications. It should be noted that Topology Optimization (TO) is a potent method utilized to optimize the distribution of materials within a designated design area with the aim of attaining optimal performance. However, its application to design auxetics which has a negative Poisson ratio has been limited due to various challenges emanating from the computational demand. To address this challenge, we describe the necessary technology and methodologies to perform TO with FGMs. Numerical examples demonstrate the effectiveness of the TO approach to design negative Poisson’s ratio metamaterial with FGMs. The results shown in this study also demonstrate the potential for utilizing TO in practical applications with auxetics and different material gradation.