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

2014/11/16 by Davit Harutyunyan, Graeme W. Milton, Harutyunyan, Davit +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #Elasticity and Material Modeling #FOS: Mathematics #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.1411.4216

openalex publication_date 2014/11/16 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We prove that an elasticity tensor with orthotropic symmetry is extremal if\nthe determinant of its acoustic tensor is an extremal polynomial that is not a\nperfect square.\n

Citations

• Sharp inequalities which generalize the divergence theorem--an extension\n of the notion of quasiconvexity, with an addendum
• Convexity conditions and existence theorems in nonlinear elasticity

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