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<p>In this work we investigate a novel class of electro-mechanical metamaterials. The main idea is to construct materials that possess the ability to withstand higher mechanical loads than usual. This is achieved by applying an electric field in such a way that the induced Maxwell stress (resulting from the electric field) counteracts the mechanical stress (resulting from external forces). Consequently, the overall load on the material is reduced. The solution of the minimization problem at the material point level results in a mathematical relation that involves the smallest eigenvalue of the mechanical stress tensor. Additionally, we evaluate the constrained cases allowing only tensile or compressive stresses, respectively, and consider the plane stress problem. We show numerical results for all cases and discuss to what extent a stress reduction is possible.</p>

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A novel class of electro-mechanical metamaterials for stress reduction through electric fields

  • 期刊论文

  • 发表日期：

    2025年4月30日

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  • Mischa Blaszczyk,
  • Klaus Hackl

摘要

In this work we investigate a novel class of electro-mechanical metamaterials. The main idea is to construct materials that possess the ability to withstand higher mechanical loads than usual. This is achieved by applying an electric field in such a way that the induced Maxwell stress (resulting from the electric field) counteracts the mechanical stress (resulting from external forces). Consequently, the overall load on the material is reduced. The solution of the minimization problem at the material point level results in a mathematical relation that involves the smallest eigenvalue of the mechanical stress tensor. Additionally, we evaluate the constrained cases allowing only tensile or compressive stresses, respectively, and consider the plane stress problem. We show numerical results for all cases and discuss to what extent a stress reduction is possible.