34 citations · 73 across the 15 of their papers we have counts for
14 papers · 1 filter
Auxetic regions in large deformations of periodic frameworks
Ciprian S. Borcea, Ileana Streinu
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 perio…
Periodic auxetics: Structure and design
Ciprian S. Borcea, Ileana Streinu
Materials science has adopted the term of auxetic behavior for structural deformations where stretching in some direction entails lateral widening, rather than lateral shrinking. M…
Auxetic deformations and elliptic curves
Ciprian S. Borcea, Ileana Streinu
The problem of detecting auxetic behavior, originating in materials science and mathematical crystallography, refers to the property of a flexible periodic bar-and-joint framework…
New principles for auxetic periodic design
Ciprian S. Borcea, Ileana Streinu
We show that, for any given dimension , the range of distinct possible designs for periodic frameworks with auxetic capabilities is infinite. We rely on a purely geometric…
Geometric deformations of sodalite frameworks
Ciprian S. Borcea, Ileana Streinu
In mathematical crystallography and computational materials science, it is important to infer flexibility properties of framework materials from their geometric representation. We…
Expansive periodic mechanisms
Ciprian S. Borcea, Ileana Streinu
A one-parameter deformation of a periodic bar-and-joint framework is expansive when all distances between joints increase or stay the same. In dimension two, expansive behavior can…