Asymptotic analysis of the stresses in thin elastic shells

DOI10.1007/S002050050161zbMath0952.74039OpenAlexW2047613442MaRDI QIDQ1805994

Bernadette Miara, Christophe Collard

Publication date: 11 January 2001

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050161

zbMATH Keywords

convergenceSaint Venant-Kirchhoff materialformal asymptotic analysisthin elastic shellfirst Piola-Kirchhoff stress tensorlimiting stress tensorlinearized stress tensor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)

Related Items (3)

On the justification of viscoelastic elliptic membrane shell equations ⋮ Nonlinearly elastic membrane model for heterogeneous shells by using a new double scale variational formulation: A formal asymptotic approach ⋮ Derivation of a Hierarchy of Nonlinear Two-dimensional Models For Heterogeneous Plates

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