Displaying similar documents to “A model problem for boundary layers of thin elastic shells”

A zoology of boundary layers.

David Gérard-Varet, Emmanuel Grenier (2002)

RACSAM

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In meteorology and magnetohydrodynamics many different boundary layers appear. Some of them are already mathematically well known, like Ekman or Hartmann layers. Others remain unstudied, and can be much more complex. The aim of this paper is to give a simple and unified presentation of the main boundary layers, and to propose a simple method to derive their sizes and equations.

Vibrations of Composite Laminated Circular Panels and Shells of Revolution with General Elastic Boundary Conditions via Fourier-Ritz Method

Qingshan Wang, Dongyan Shi, Fuzhen Pang, Qian Liang (2016)

Curved and Layered Structures

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A Fourier-Ritz method for predicting the free vibration of composite laminated circular panels and shells of revolution subjected to various combinations of classical and non-classical boundary conditions is presented in this paper. A modified Fourier series approach in conjunction with a Ritz technique is employed to derive the formulation based on the first-order shear deformation theory. The general boundary condition can be achieved by the boundary spring technique in which three...

A model problem for boundary layers of thin elastic shells

Philippe Karamian, Jacqueline Sanchez-Hubert, Évarisite Sanchez Palencia (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider a model problem (with constant coefficients and simplified geometry) for the boundary layer phenomena which appear in thin shell theory as the relative thickness ε of the shell tends to zero. For ε = 0 our problem is parabolic, then it is a model of developpable surfaces. Boundary layers along and across the characteristic have very different structure. It also appears internal layers associated with propagations of singularities along the characteristics. The special structure...