Literature DB >> 29214240

New principles for auxetic periodic design.

Ciprian S Borcea1, Ileana Streinu2.   

Abstract

We show that, for any given dimension d ≥ 2, the range of distinct possible designs for periodic frameworks with auxetic capabilities is infinite. We rely on a purely geometric approach to auxetic trajectories developed within our general theory of deformations of periodic frameworks.

Entities:  

Keywords:  52C25; 74N10; auxetic deformation; mechanism design; periodic framework

Year:  2017        PMID： 29214240      PMCID： PMC5713911          DOI： 10.1137/16M1088259

Source DB:  PubMed          Journal:  SIAM J Appl Algebr Geom        ISSN： 2470-6566


  7 in total

1.  Poisson's ratio and modern materials.

Authors:  G N Greaves; A L Greer; R S Lakes; T Rouxel
Journal:  Nat Mater       Date:  2011-10-24       Impact factor: 43.841

Review 2.  Micro-/nanostructured mechanical metamaterials.

Authors:  Jae-Hwang Lee; Jonathan P Singer; Edwin L Thomas
Journal:  Adv Mater       Date:  2012-08-17       Impact factor: 30.849

3.  Foam Structures with a Negative Poisson's Ratio.

Authors:  R Lakes
Journal:  Science       Date:  1987-02-27       Impact factor: 47.728

4.  Negative Poisson's ratio behavior induced by an elastic instability.

Authors:  Katia Bertoldi; Pedro M Reis; Stephen Willshaw; Tom Mullin
Journal:  Adv Mater       Date:  2010-01-19       Impact factor: 30.849

5.  Poisson's ratio over two centuries: challenging hypotheses.

Authors:  G Neville Greaves
Journal:  Notes Rec R Soc Lond       Date:  2013-03-20       Impact factor: 0.826

6.  Liftings and stresses for planar periodic frameworks.

Authors:  Ciprian Borcea; Ileana Streinu
Journal:  Discrete Comput Geom       Date:  2015-04-18       Impact factor: 0.969

7.  Geometric auxetics.

Authors:  Ciprian Borcea; Ileana Streinu
Journal:  Proc Math Phys Eng Sci       Date:  2015-12-08       Impact factor: 2.704
  7 in total
  1 in total

1.  Periodic Auxetics: Structure and Design.

Authors:  Ciprian S Borcea; Ileana Streinu
Journal:  Q J Mech Appl Math       Date:  2017-12-11       Impact factor: 1.000
  1 in total

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