Consequences of the Coleman‐Noll inequality for isotropic materials

DOI10.1002/zamm.201800324OpenAlexW2923741696MaRDI QIDQ6142882

Šilhavý, Miroslav

Publication date: 4 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201800324

zbMATH Keywords

isotropyBaker-Ericksen inequalitiesColeman-Noll inequalityLegendre-Hadamard conditionsecond derivative of the stored energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Thermodynamics in solid mechanics (74A15) Biographies, obituaries, personalia, bibliographies (01A70) Differentiable maps on manifolds (58C25)

Cites Work

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• Differentiability properties of symmetric and isotropic functions
• Convexity conditions and existence theorems in nonlinear elasticity
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• Mechanical and thermodynamical admissibility of stressstrain functions
• Scientific life and works of Walter Noll
• Acceleration waves in inhomogeneous isotropic elastic bodies
• Corrigendum: Acceleration waves in inhomogeneous isotropic elastic bodies
• On the definition of elastic moduli
• A theorem of tensor calculus and its application to isotropic elasticity
• On the thermostatics of continuous media
• Das ungelöste Hauptproblem der endlichen Elastizitätstheorie
• On isotropic rank 1 convex functions
• The scientific work of Bernard D. Coleman
• Differentiability properties of rotationally invariant functions

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