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An effective model for critically wrinkled arches

Abderrahmane Habbal 1
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : Within the framework of the Koiter's linear elastic shell theory, we study the limit model of a plane arch whose mid-surface is periodically waved.The magnitude and the period of the wavings are of the same order. To achieve the asymptotic analysis, we consider a mixed formulation, for which we perform a two-scale homogenization technique. We prove the convergence of the displacements, the rotation of the normal and the membrane strain. From the limit formulation, we derive an effective model for critically wrinkled arches. It has a plane effective mid-surface, but exhibits a coupling between the rotation of the normal and the membrane strain.
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Submitted on : Tuesday, May 23, 2006 - 7:37:19 PM
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  • HAL Id : inria-00072042, version 1

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Abderrahmane Habbal. An effective model for critically wrinkled arches. RR-4546, INRIA. 2002. ⟨inria-00072042⟩

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