An estimate of the \(H^1\)-norm of deformations in terms of the \(L^1\)-norm of their Cauchy-Green tensors
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Publication:1433397
DOI10.1016/j.crma.2004.01.014zbMath1183.74008OpenAlexW2071885755MaRDI QIDQ1433397
Philippe G. Ciarlet, Christinel Mardare
Publication date: 15 June 2004
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2004.01.014
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Cites Work
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- Continuity of a deformation in \(H^{1}\) as a function of its Cauchy-Green tensor in \(L^{1}\)
- New integral estimates for deformations in terms of their nonlinear strains
- Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells
- Convexity conditions and existence theorems in nonlinear elasticity
- The continuity of a surface as a function of its two fundamental forms.
- Continuity of a deformation as a function of its Cauchy-Green tensor
- Recovery of a manifold with boundary and its continuity as a function of its metric tensor
- RECOVERY OF A SURFACE WITH BOUNDARY AND ITS CONTINUITY AS A FUNCTION OF ITS TWO FUNDAMENTAL FORMS
- Rotation and strain
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
