Asymptotic analysis of linearly elastic shells. II: Justification of flexural shell equations
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Publication:2563905
DOI10.1007/BF02316976zbMath0887.73039OpenAlexW2023378365MaRDI QIDQ2563905
Bernadette Miara, Philippe G. Ciarlet, Veronique Lods
Publication date: 25 May 1998
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02316976
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Cites Work
- Existence theorems for two-dimensional linear shell theories
- Asymptotic analysis of linearly elastic shells: `Generalized membrane shells'
- Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations
- Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations
- On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
- A new model for thin plates with rapidly varying thickness. II. A convergence proof
- Thin inclusions in linear elasticity: a variational approach.
- Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
- ELASTIC THIN SHELLS: ASYMPTOTIC THEORY IN THE ANISOTROPIC AND HETEROGENEOUS CASES
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