An asymptotic analysis method for the linearly shell theory

DOI10.1007/s11425-006-1009-5zbMath1138.74358OpenAlexW2219073591MaRDI QIDQ862732

Kai-Tai Li, Wenjing Zhang, Ai-xiang Huang

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-1009-5

zbMATH Keywords

asymptotic expansion methodlinear elastic shell

Mathematics Subject Classification ID

Membranes (74K15)

Related Items (2)

Dimension splitting algorithm for a three-dimensional elliptic equation ⋮ Adaptive dimension splitting algorithm for three-dimensional elliptic equations

Cites Work

• Approximation of a circular cylindrical shell by Clough-Johnson flat plate finite elements
• 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. II: Justification of flexural shell equations
• Asymptotic analysis of linearly elastic shells. III: Justification of Koiter's shell equations
• Mathematical modelling of linearly elastic shells
• Some new results and current challenges in the finite element analysis of shells
• Asymptotic justification of the Kirchhoff-Love assumptions for a linearly elastic clamped shell
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