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pro vyhledávání: '"52C25, 74N10"'
Autor:
Borcea, Ciprian S., Streinu, Ileana
Materials science has adopted the term of auxetic behavior for structural deformations where stretching in some direction entails lateral widening, rather than lateral shrinking. Most studies, in the last three decades, have explored repetitive or ce
Externí odkaz:
http://arxiv.org/abs/1708.03960
Autor:
Borcea, Ciprian S., Streinu, Ileana
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 to widen, rather than shrink, when stretched in some direction. The on
Externí odkaz:
http://arxiv.org/abs/1612.02100
Autor:
Borcea, Ciprian S., Streinu, Ileana
We show that, for any given dimension $d\geq 2$, 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
Externí odkaz:
http://arxiv.org/abs/1608.02104
Autor:
Borcea, Ciprian S., Streinu, Ileana
In mathematical crystallography and computational materials science, it is important to infer flexibility properties of framework materials from their geometric representation. We study combinatorial, geometric and kinematic properties for frameworks
Externí odkaz:
http://arxiv.org/abs/1606.05453
Autor:
Borcea, Ciprian S., Streinu, Ileana
For materials science, diamond crystals are almost unrivaled for hardness and a range of other properties. Yet, when simply abstracting the carbon bonding structure as a geometric bar-and-joint periodic framework, it is far from rigid. We study the g
Externí odkaz:
http://arxiv.org/abs/1501.03551
Autor:
Borcea, Ciprian S., Streinu, Ileana
We formulate and prove a periodic analog of Maxwell's theorem relating stressed planar frameworks and their liftings to polyhedral surfaces with spherical topology. We use our lifting theorem to prove deformation and rigidity-theoretic properties for
Externí odkaz:
http://arxiv.org/abs/1501.03549
Autor:
Borcea, Ciprian S., Streinu, Ileana
We formulate a mathematical theory of auxetic behavior based on one-parameter deformations of periodic frameworks. Our approach is purely geometric, relies on the evolution of the periodicity lattice and works in any dimension. We demonstrate its use
Externí odkaz:
http://arxiv.org/abs/1501.03550
Autor:
Borcea, Ciprian S., Streinu, Ileana
Periodic frameworks with crystallographic symmetry are investigated from the perspective of a general deformation theory of periodic bar-and-joint structures in $R^d$. It is shown that natural parametrizations provide affine section descriptions for
Externí odkaz:
http://arxiv.org/abs/1110.4662
Autor:
Ileana Streinu, Ciprian S. Borcea
Publikováno v:
The Quarterly Journal of Mechanics and Applied Mathematics
Summary Materials science has adopted the term of auxetic behavior for structural deformations where stretching in some direction entails lateral widening, rather than lateral shrinking. Most studies, in the last three decades, have explored repetiti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c16535dd7c21a2356f644fd794e0015
Autor:
Ileana Streinu, Ciprian S. Borcea
In materials science and engineering, auxetic behavior refers to deformations of flexible structures where stretching in some direction involves lateral widening, rather than lateral shrinking. We address the problem of detecting auxetic behavior for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54a0cf7e8d4421b3604dcd3ac24f7bf6
http://arxiv.org/abs/1612.02100
http://arxiv.org/abs/1612.02100