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October 3, 2025Open Access

A nonlinear homogenization-based perspective on the soft modes and effective energies of some conformal metamaterials

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Authors

XLXuenan LiMinistry of EducationRKRobert V. KohnSupélec

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Implication

This analysis reveals soft modes in mechanical metamaterials, suggesting a new direction in nonlinear elasticity research.

Key Points

  • The study reveals the identification of soft modes in metamaterials, enhancing understanding of their macroscopic properties.
  • By employing homogenization techniques, a novel bounding method for effective energy is presented.
  • Specific 2D examples, such as the Rotating Squares and Kagome metamaterials, illustrate the application of these techniques.
  • This approach highlights the importance of the metamaterial's structure and symmetry in determining effective energy characteristics.

Cite This Study

Li et al. (2025) studied this question.

synapsesocial.com/papers/68e040f3a99c246f578b38e3https://doi.org/10.48550/arxiv.2509.16907
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