ON KORN'S INEQUALITIES IN CURVILINEAR COORDINATES
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Publication:4798915
DOI10.1142/S0218202501001379zbMath1036.74036MaRDI QIDQ4798915
Sorin Mardare, Philippe G. Ciarlet
Publication date: 16 March 2003
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
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Related Items (15)
An introduction to differential geometry with applications to elasticity ⋮ Neumann's method for boundary problems of thin elastic shells ⋮ Expression of Dirichlet boundary conditions in terms of the strain tensor in linearized elasticity ⋮ Mathematical modeling and numerical analysis of elastic body with thin inclusion ⋮ On rigid displacements and their relation to the infinitesimal rigid displacement lemma in shell theory. ⋮ A linearly elastic shell over an obstacle: the flexural case ⋮ Asymptotic justification of the intrinsic equations of Koiter's model of a linearly elastic shell ⋮ On rigid and infinitesimal rigid displacements in shell theory. ⋮ Donati compatibility conditions on a surface -- application to shell theory ⋮ A NEW APPROACH TO LINEAR SHELL THEORY ⋮ WELL-POSEDNESS FOR KOITER AND NAGHDI SHELLS WITH A G1-MIDSURFACE ⋮ Intrinsic formulation of the displacement-traction problem in linearized elasticity ⋮ Another approach to linear shell theory and a new proof of Korn's inequality on a surface ⋮ On Korn’s inequalities on a surface ⋮ Asymptotic analysis of bending-dominated shell junctions
Cites Work
- A classification of thin shell theories
- On the ellipticity of linear shell models
- Existence theorems for two-dimensional linear shell theories
- On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
- Existence and uniqueness for the linear Koiter model for shells with little regularity
- Functional spaces for norton‐hoff materials
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