<p>In this article, a metamaterial with generic rigid finite size joints has been studied. The lattice is modeled as a grid of shear-deformable beams connected by rigid elements. By applying Bloch-Floquet theory, the closed-form solution of the stability domain and the related critical modes have been analytically derived. By carefully choosing the geometric parameters of the rigid element, it is possible to tailor a wide range of critical modes for different macro-stress states, allowing the activation of micro critical modes prior to macro ones. It is pointed out that in this metamaterial chirality affects only micro critical state but not macro critical state.</p>

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Chirality effects in the stability analysis of periodic lattice with generic rigid finite size joints

  • Nicola Marasciuolo,
  • Domenico De Tommasi,
  • Francesco Trentadue

摘要

In this article, a metamaterial with generic rigid finite size joints has been studied. The lattice is modeled as a grid of shear-deformable beams connected by rigid elements. By applying Bloch-Floquet theory, the closed-form solution of the stability domain and the related critical modes have been analytically derived. By carefully choosing the geometric parameters of the rigid element, it is possible to tailor a wide range of critical modes for different macro-stress states, allowing the activation of micro critical modes prior to macro ones. It is pointed out that in this metamaterial chirality affects only micro critical state but not macro critical state.