Existence theorem for a nonlinear elliptic shell model
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Publication:1691801
DOI10.1007/BF03377366zbMath1386.74022OpenAlexW2572925942MaRDI QIDQ1691801
Renata Bunoiu, Philippe G. Ciarlet, Christinel Mardare
Publication date: 25 January 2018
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03377366
Related Items (8)
Polyconvexity and existence theorem for nonlinearly elastic shells ⋮ A mathematical model of Koiter's type for a nonlinearly elastic ``almost spherical shell ⋮ Asymptotic justification of equations for von Kármán membrane shells ⋮ Nonlinear shell models of Kirchhoff-Love type: existence theorem and comparison with Koiter's model ⋮ A nonlinear shell model of Koiter's type ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers ⋮ An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type
Cites Work
- Orientation-preserving condition and polyconvexity on a surface: application to nonlinear shell theory
- An introduction to differential geometry with applications to elasticity
- Null Lagrangians, weak continuity, and variational problems of arbitrary order
- Convexity conditions and existence theorems in nonlinear elasticity
- Derivation of nonlinear bending theory for shells from three-dimensional nonlinear elasticity by Gamma-convergence.
- The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
- On the Existence of Solutions to the Generalized Marguerre-von Kármán Equations
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