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Metamaterial designs with expansive and auxetic deformations

Hot Topics: Shape and Structure of Materials October 01, 2018 - October 05, 2018

October 01, 2018 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Ileana Streinu (Smith College)
Location: MSRI: Simons Auditorium
  • auxetic

  • expansive

  • metamaterial

  • periodic framework

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification



We discuss, in precise geometric language, the notions of expansive and auxetic deformations for

periodic bar-and-joint frameworks. Expansive implies auxetic. In dimension two, expansive periodic structures

can be understood in terms of pseudo-triangulations. From this characterization we derive an effective procedure to generate infinitely many planar periodic expansive designs. We also present a few principles to generate infinite auxetic families in higher dimensions. We illustrate these techniques with an abundance of new auxetic blueprints in dimension three, which is most important for metamaterial design.


This is joint work with Ciprian Borcea.

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Video/Audio Files


H.264 Video 1-Streinu.mp4 260 MB video/mp4 Download
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