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September 17, 2026Mechanics of Advanced Materials and StructuresOpen Access

Design of extremal reentrant auxetics using optimization algorithms

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Authors

RHReza HedayatiMAMelikasadat AlaviMSMojtaba Sadighi

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Overview

Experimental and computational study demonstrates extreme negative Poisson's ratios and enhanced energy absorption in 2D reentrant lattices, suggesting pathways for multifunctional metamaterials.

Key Points

  • To establish the optimal achievable mechanical property ranges and multi-objective design trade-offs of 2D reentrant auxetic lattices using an optimization framework across varying geometric parameters.
  • Optimized 2D unit-cell geometry (reentrant angle, height, width, strut length, and wall thickness) using gradient-based algorithms (fmincon, Gekko) and a population-based genetic algorithm.
  • Validated performance boundaries and aspect ratio effects through finite element simulations and quasi-static compression experiments on 3D-printed PLA prototypes.
  • Wider unit cells with low height-to-width ratios increased longitudinal stiffness but reduced the achievable range of Poisson’s ratios, and vice versa.
  • Optimized lattice configurations achieved negative Poisson’s ratios down to −35.5 and specific energy-absorption capacities approximately 32 times higher than the base material, with experimental deviations within 10% of theoretical predictions.

Cite This Study

Hedayati et al. (2026) studied this question.

synapsesocial.com/papers/6aabb6d85f706d05830e5936https://doi.org/10.1080/15376494.2026.2726681
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