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Non-affinity in multi-material mechanical metamaterials.

M J Mirzaali1, H Pahlavani2, E Yarali3

  • 1Department of Biomechanical Engineering, Faculty of Mechanical, Maritime, and Materials Engineering, Delft University of Technology (TU Delft), Mekelweg 2, 2628 CD, Delft, The Netherlands. m.j.mirzaalimazandarani@tudelft.nl.

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Summary
This summary is machine-generated.

This study explores non-affine deformations in multi-material mechanical metamaterials. Auxetic structures show the highest non-affinity, impacting mechanical properties and structural integrity.

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Metamaterials

Background:

  • Non-affine deformations are crucial for metamaterial properties but affect structural integrity.
  • The influence of multiple material phases on deformation non-affinity in metamaterials is unexplored.
  • This research addresses the novel study of non-affinity in extremal mechanical metamaterials with varying material compositions.

Purpose of the Study:

  • To investigate the degree of non-affinity in lattice structures with randomly substituted struts of differing elastic moduli.
  • To correlate non-affinity with Poisson's ratio values (negative, near-zero, positive) across different unit cell angles.
  • To understand the impact of material composition and structure on non-affinity and its relation to mechanical properties.

Main Methods:

  • Fabrication of lattice structures using soft and hard materials via 3D printing.
  • Systematic variation of the fraction of hard material struts ([Formula: see text]) and unit cell angles ([Formula: see text] = 60°, 90°, 120°).
  • Quantification of the degree of non-affinity ([Formula: see text]) and its correlation with mechanical properties.

Main Results:

  • Auxetic structures (negative Poisson's ratio) exhibited the highest non-affinity.
  • Non-affinity increased with the fraction of hard material ([Formula: see text]) and elastic modulus ([Formula: see text]) up to saturation.
  • Poisson's ratio values were strongly correlated with non-affinity, with extreme values requiring affine deformations.

Conclusions:

  • Non-affinity is a critical factor in multi-material metamaterials, influencing both mechanical properties and structural integrity.
  • The degree of non-affinity depends asymmetrically on material composition and unit cell geometry.
  • Understanding and controlling non-affinity is essential for designing metamaterials with targeted mechanical behaviors.