181 citations · 1.7k across the 89 of their papers we have counts for
7 papers · 1 filter
On the relation between extremal elasticity tensors with orthotropic symmetry and extremal polynomials
Davit Harutyunyan, Graeme Walter Milton
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.
New examples of three-dimensional dilational materials
Graeme Walter Milton
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 lit…
Isotropic realizability of current fields in R^3
Marc Briane, Graeme W. Milton
This paper deals with the isotropic realizability of a given regular divergence free field j in R^3 as a current field, namely to know when j can be written as sigma Du for some is…
Sensitivity of anomalous localized resonance phenomena with respect to dissipation
Taoufik Meklachi, Graeme W. Milton, Daniel Onofrei +2
We analyze cloaking due to anomalous localized resonance in the quasistatic regime in the case when a general charge density distribution is brought near a slab superlens. If the c…
Exact determination of the volume of an inclusion in a body having constant shear modulus
Andrew E. Thaler, Graeme W. Milton
We derive an exact formula for the volume fraction of an inclusion in a body when the inclusion and the body are linearly elastic materials with the same shear modulus. Our formula…
Explicit examples of extremal quasiconvex quadratic forms that are not polyconvex
Davit Harutyunyan, Graeme Walter Milton
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 co…