Functional spaces for norton‐hoff materials

DOI10.1002/mma.1670080113zbMath0616.73010OpenAlexW1992715560MaRDI QIDQ4725819

Pierre Suquet, Giuseppe Geymonat

Publication date: 1986

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670080113

zbMATH Keywords

dualitydensitytrace theoremsKorn type inequalityNorton-Hoff materials problem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Plastic materials, materials of stress-rate and internal-variable type (74C99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

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Cites Work

• Some inequalities for vector functions with applications in elasticity
• Évolution quasi‐statique des milieux visco‐plastiques de maxwell‐norton
• Lower Bounds for the Fundamental Free Membrane Eigenvalue
• Formulas to represent functions by their derivatives
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• Unnamed Item
• Unnamed Item

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