On internal and boundary layers with unbounded energy in thin shell theory. Hyperbolic characteristic and noncharacteristic cases.

Abstract : We consider the system of equations of Koiter shell theory - in a slightly simplified form - in the case when the limit problem for small thickness is hyperbolic, i.e., when the principal curvatures of the middle surface are everywhere of opposite signs. Under loadings that do not belong to the dual of the limit energy space, the solution energy grows without limit as the thickness tends to zero and concentrates on internal or boundary layers. We consider both the cases when the singular loadings are applied along a non-characteristic curve or along a characteristic curve. We prove convergence in the layers.
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Contributor : Annie Raoult <>
Submitted on : Friday, January 26, 2007 - 3:57:26 PM
Last modification on : Friday, September 20, 2019 - 4:34:02 PM

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  • HAL Id : hal-00126931, version 1

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Denis Caillerie, Annie Raoult, Evariste Sanchez-Palencia. On internal and boundary layers with unbounded energy in thin shell theory. Hyperbolic characteristic and noncharacteristic cases.. Asymptotic Analysis, IOS Press, 2006, 46, pp.189-220. ⟨hal-00126931⟩

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