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pro vyhledávání: '"Milton, Graeme Walter"'
We prove that an elasticity tensor with orthotropic symmetry is extremal if the determinant of its acoustic tensor is an extremal polynomial that is not a perfect square.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/1411.4216
Autor:
Milton, Graeme Walter
Two-dimensional dilational materials, for which the only easy mode of deformation is a dilation are reviewed and connections are drawn between models previously proposed in the literature. Some models which appear to be dilational materials, but whic
Externí odkaz:
http://arxiv.org/abs/1410.4143
We prove that if the associated fourth order tensor of a quadratic form has a linear elastic cubic symmetry then it is quasiconvex if and only if it is polyconvex, i.e. a sum of convex and null-Lagrangian quadratic forms. We prove that allowing for s
Externí odkaz:
http://arxiv.org/abs/1403.3718
Autor:
Milton, Graeme Walter
A large family of periodic planar non-linear bimode metamaterials are constructed from rigid bars and pivots. They are affine materials in the sense that their macroscopic deformations are only affine deformations: at large distances any deformation
Externí odkaz:
http://arxiv.org/abs/1206.0325
Autor:
Milton, Graeme Walter
A complete characterization is given of the possible macroscopic deformations of periodic nonlinear affine unimode metamaterials constructed from rigid bars and pivots. The materials are affine in the sense that their macroscopic deformations can onl
Externí odkaz:
http://arxiv.org/abs/1205.6213
Bounds are obtained on the volume fraction in a two-dimensional body containing two elastically isotropic materials with known bulk and shear moduli. These bounds use information about the average stress and strain fields, energy, determinant of the
Externí odkaz:
http://arxiv.org/abs/1108.5764
Autor:
Milton, Graeme Walter
Publikováno v:
In Journal of the Mechanics and Physics of Solids July 2013 61(7):1561-1568
Autor:
Milton, Graeme Walter
Publikováno v:
In Journal of the Mechanics and Physics of Solids July 2013 61(7):1543-1560
Publikováno v:
In Comptes rendus - Mécanique April-May 2012 340(4-5):193-204
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