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
A one-parameter deformation of a periodic bar-and-joint framework is expansive when all distances be...
We apply our deformation theory of periodic bar-and-joint frameworks to tetrahedral crystal structur...
There is increasing interest in two-dimensional and quasi-two-dimensional materials and metamaterial...
Auxetic behavior refers to lateral widening upon stretching. Although a structural origin for this r...
In materials science, auxetic behavior refers to the rather unusual property of a material to latera...
In materials science, auxetic behavior refers to the rather unusual property of a material to latera...
Materials science has adopted the term of auxetic behavior for structural deformations where stretch...
Auxetic behavior refers to lateral widening upon stretching or, in reverse, lateral shrinking upon c...
We show that, for any given dimension d ≥ 2, the range of distinct possible designs for periodic fra...
In mathematical crystallography and computational materials science, it is important to infer flexib...
We investigate geometric characteristics of a specific planar periodic framework with three degrees ...
The problem of detecting auxetic behavior, originating in materials science and mathematical crystal...
Auxetic behavior refers to lateral widening upon stretching or, in reverse, lateral shrinking upon c...
We describe a correspondence between the infinitesimal deformations of a periodic bar-and-joint fram...
We systematically analyse the mechanical deformation behaviour, in particular Poisson's ratio, of fl...
A one-parameter deformation of a periodic bar-and-joint framework is expansive when all distances be...
We apply our deformation theory of periodic bar-and-joint frameworks to tetrahedral crystal structur...
There is increasing interest in two-dimensional and quasi-two-dimensional materials and metamaterial...
Auxetic behavior refers to lateral widening upon stretching. Although a structural origin for this r...
In materials science, auxetic behavior refers to the rather unusual property of a material to latera...
In materials science, auxetic behavior refers to the rather unusual property of a material to latera...
Materials science has adopted the term of auxetic behavior for structural deformations where stretch...
Auxetic behavior refers to lateral widening upon stretching or, in reverse, lateral shrinking upon c...
We show that, for any given dimension d ≥ 2, the range of distinct possible designs for periodic fra...
In mathematical crystallography and computational materials science, it is important to infer flexib...
We investigate geometric characteristics of a specific planar periodic framework with three degrees ...
The problem of detecting auxetic behavior, originating in materials science and mathematical crystal...
Auxetic behavior refers to lateral widening upon stretching or, in reverse, lateral shrinking upon c...
We describe a correspondence between the infinitesimal deformations of a periodic bar-and-joint fram...
We systematically analyse the mechanical deformation behaviour, in particular Poisson's ratio, of fl...
A one-parameter deformation of a periodic bar-and-joint framework is expansive when all distances be...
We apply our deformation theory of periodic bar-and-joint frameworks to tetrahedral crystal structur...
There is increasing interest in two-dimensional and quasi-two-dimensional materials and metamaterial...