Auxetic Regions in Large Deformations of Periodic Frameworks

  • Ciprian S. BorceaEmail author
  • Ileana StreinuEmail author
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 71)


In materials science, auxetic behavior refers to lateral widening upon stretching. We investigate the problem of finding domains of auxeticity in global deformation spaces of periodic frameworks. Case studies include planar periodic mechanisms constructed from quadrilaterals with diagonals as periods and other frameworks with two vertex orbits. We relate several geometric and kinematic descriptions.



This work was supported by the National Science Foundation (awards no. 1319389 and 1704285 to C.S.B., awards no. 1319366 and 1703765 to I.S.) and the National Institutes of Health (award 1R01GM109456 to C.S.B. and I.S.).


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsRider UniversityLawrencevilleUSA
  2. 2.Department of Computer ScienceSmith CollegeNorthamptonUSA

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