Asymptotic expansions of stress tensor for linearly elastic shell

DOI10.1016/j.apm.2013.03.032zbMath1438.74134OpenAlexW2069117857MaRDI QIDQ1789512

Yanyan Li

Publication date: 10 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.03.032

zbMATH Keywords

asymptotic analysisstress tensorlinearly elastic shell

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25) Membranes (74K15) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

• 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
• A dimensional splitting method for the linearly elastic shell
• Asymptotic justification of the Kirchhoff-Love assumptions for a linearly elastic clamped shell
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