Elasticity Approach to Predict Shape Transformation of Functionally Graded Mechanical Metamaterial under Tension

Mohammad Javad Khoshgoftar, Ali Barkhordari, Sajjad Seifoori, M. Mirzaali Mazandarani

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

The re-entrant structures are among the simple unit cell designs that have been widely used in the design of mechanical metamaterials. Changing the geometrical parameters of these unit cell structures, their overall elastic properties (i.e., elastic stiffness and Poisson’s ratio), can be simultaneously tuned. Therefore, different design strategies (e.g., functional gradient) can be implemented to design advanced engineering materials with unusual properties. Here, using the theory of elasticity and finite element modeling, we propose a fast and direct approach to effectively design the microarchitectures of mechanical metamaterials with re-entrant structures that allow predicting complex deformation shapes under uniaxial tensile loading. We also analyze the efficiency of this method by back calculating the microarchitectural designs of mechanical metamaterials to predict the complex 1-D external contour of objects (e.g., vase and foot). The proposed approach has several applications in creating programmable mechanical metamaterials with shape matching properties for exoskeletal and soft robotic devices.
Original languageEnglish
Article number3452
Number of pages12
JournalMaterials
Volume14
Issue number13
DOIs
Publication statusPublished - 2021

Keywords

  • mechanical metamaterials
  • auxetic
  • re-entrant structures
  • finite element modeling
  • theory of elasticity
  • shape matching

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