64 citations · 146 across the 27 of their papers we have counts for
4 papers · 2 filters
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.
Rigorous derivation of the formula for the buckling load in axially compressed circular cylindrical shells
Yury Grabovsky, Davit Harutyunyan
The goal of this paper is to apply the recently developed theory of buckling of arbitrary slender bodies to a tractable yet non-trivial example of buckling in axially compressed ci…
Scaling instability of the buckling load in axially compressed circular cylindrical shells
Yury Grabovsky, Davit Harutyunyan
In this paper we initiate a program of rigorous analytical investigation of the paradoxical buckling behavior of circular cylindrical shells under axial compression. This is done b…
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…