On copositive matrices and strong ellipticity for isotropic elastic materials

DOI10.1007/BF00251549zbMath0526.73026MaRDI QIDQ594634

Henry C. Simpson, Spector, Scott J.

Publication date: 1983

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

representation theoremcopositive matricesisotropiccompressiblenecessary and sufficient conditions for strong ellipticitynonlinearly elastic material at equilibrium

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Nonlinear elliptic equations (35J60) Theory of constitutive functions in solid mechanics (74A20)

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Cites Work

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• Ordinary and strong ellipticity in the equilibrium theory of incompressible hyperelastic solids
• On barrelling instabilities in finite elasticity
• Elastic materials of coaxial type and inequalities sufficient to ensure strong ellipticity
• On the failure of ellipticity of the equations for finite elastostatic plane strain
• On the speed of propagation of waves in a deformed compressible elastic material
• On copositive matrices
• An introduction to continuum mechanics
• On classes of copositive matrices

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