On the relation between extremal elasticity tensors with orthotropic symmetry and extremal polynomials

Davit Harutyunyan; Graeme Walter Milton

arxiv: 1411.4216 · v1 · pith:4QMWQJ5Rnew · submitted 2014-11-16 · 🧮 math.AP

On the relation between extremal elasticity tensors with orthotropic symmetry and extremal polynomials

Davit Harutyunyan , Graeme Walter Milton This is my paper

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keywords extremalelasticityorthotropicsymmetrytensoracousticdeterminantperfect

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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.

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On the relation between extremal elasticity tensors with orthotropic symmetry and extremal polynomials

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