Nonlinear Donati compatibility conditions on a surface — Application to the intrinsic approach for Koiter’s model of a nonlinearly elastic shallow shell
DOI10.1142/S021820251750004XzbMath1358.74030OpenAlexW2564612538WikidataQ125310772 ScholiaQ125310772MaRDI QIDQ2973326
Oana Iosifescu, Philippe G. Ciarlet
Publication date: 3 April 2017
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021820251750004x
nonlinear shell theorynonlinear donati compatibility conditionsnonlinear korn inequality on a surface
Nonlinear elasticity (74B20) Plates (74K20) Shells (74K25) Optimization of other properties in solid mechanics (74P10) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (2)
Cites Work
- Nonlinear donati compatibility conditions and the intrinsic approach for nonlinearly elastic plates
- New nonlinear estimates for surfaces in terms of their fundamental forms
- An intrinsic approach to a nonlinear model in shell theory
- Intrinsic equations for non-linear deformation and stability of thin elastic shells
- Finite element approximation of the Navier-Stokes equations
- Beltrami's solutions of general equilibrium equations in continuum mechanics
- An introduction to differential geometry with applications to elasticity
- An existence theorem for a class of nonlinear shallow shell problems
- Existence theorems for two-dimensional linear shell theories
- A Riemannian version of Korn's inequality
- On a lemma of Jacques-Louis Lions and its relation to other fundamental results
- Donati compatibility conditions on a surface -- application to shell theory
- A nonlinear Korn inequality on a surface
- Elements of the analysis for the study of certain models of turbulence of viscous incompressible fluids.
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- On the boundary-value problems of the theory of elasticity and Korn's inequality
- On Korn’s inequalities on a surface
- On the analyticity of the solutions of linear elliptic systems of partial differential equations
- Local existence and regularity of the solution of the nonlinear thin shell model of donnell-mushtari-vlasov
- Functional spaces for norton‐hoff materials
- Mixed Finite Element Methods and Applications
- NONLINEAR SAINT–VENANT COMPATIBILITY CONDITIONS AND THE INTRINSIC APPROACH FOR NONLINEARLY ELASTIC PLATES
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Direct methods in the calculus of variations
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