Vibration of a pre-constrained elastic thin shell. I: Modeling and regularity of the solutions

DOI10.1016/S1631-073X(02)02182-9zbMath1008.74037OpenAlexW2054116134MaRDI QIDQ1598481

Jean-Paul Zolésio, John Cagnol

Publication date: 4 August 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02182-9

zbMATH Keywords

existenceshape differentiationvibrationhyperbolic equationslarge displacementinterior regularityboundary regularitysmall deformationpre-constrained elastic thin shell

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Shells (74K25) Existence of solutions of dynamical problems in solid mechanics (74H20) Regularity of solutions of dynamical problems in solid mechanics (74H30)

Related Items (1)

Vibration of a pre-constrained elastic thin shell. II: Intrinsic exact model.

Cites Work

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• Representation and control of infinite dimensional systems. Vol. 2
• Shape derivative in the wave equation with Dirichlet boundary conditions
• Hidden shape derivative in the wave equation with Dirichlet boundary condition

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