Asymptotic modelling of a nonsymmetric beam

In this paper, we propose a new model “of Koiter's type” for nonlinearly elastic shells with variable thickness, which generalizes a model recently proposed by P.G. Ciarlet for shells with constant thickness. We justify this model by means of an asymptotic analysis, by showing that its solution behaves either like that of a “membrane” or like that of a “flexural” shell as the thickness goes to zero.

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Asymptotic modelling of a nonsymmetric beam

Cited by 3 publications

References 5 publications

Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape

Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape

Pseudoesfuerzos y evaluación de tensiones en modelos hiperviga

Two-Dimensional Nonlinear Shell Model of Koiter's Type with Variable Thickness

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