WIAS Preprint No. 2624, (2019)

Design and testing of 3D-printed micro-architectured polymer materials exhibiting a negative Poisson's ratio


  • Agnelli, Filippo
  • Constantinescu, Andrei
  • Nika, Grigor
    ORCID: 0000-0002-4403-6908

2010 Mathematics Subject Classification

  • 35M10 35M12 35M30 35Q93 74B05


  • Auxetic material, topology optimization, 3D printing, polymer




This work proposes the complete design cycle for several auxetic materials where the cycle consists of three steps (i) the design of the micro-architecture, (ii) the manufacturing of the material and (iii) the testing of the material. In more precise terms, we aim to obtain domain micro-architectured materials with a prescribed elasticity tensor and Poisson's ratio. In order to reach this goal we use topology optimization via the level set method for the material design process. Specimens are manufactured using a commercial stereo-lithography Ember printer and mechanically tested. The observed displacement and strain fields during tensile testing obtained by digital image correlation match the predictions from the FE simulation.

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