Reinforcement of a thin plate by a thin layer
Copyright policy )Reinforcement of a thin plate by a thin layer
AbstractWe study the bending of a thin plate, stiffened with a thin elastic layer, of thickness δ. We describe the complete construction of an asymptotic expansion with respect to δ of the solution of the Kirchhoff–Love model and give optimal estimates for the remainder. We identify approximate boundary conditions, which take into account the effect of the stiffener at various orders. Thanks to the tools of multi‐scale analysis, we give optimal estimates for the error between the approximate problems and the original one. We deal with a layer of constant stiffness, as well as with a stiffness in δ−1. Copyright © 2007 John Wiley & Sons, Ltd.
- University of Rennes 1 France
- Mouloud Mammeri University of Tizi-Ouzou Algeria
- Mathematics Research Institute of Rennes France
- L'Institut Agro France
- Universite Rennes 2 France
reinforcement, asymptotic expansion, thin plate, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], 74K20, 510, optimal error estimate, stiffener, approximate boundary conditions, Composite and mixture properties, Plates, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
reinforcement, asymptotic expansion, thin plate, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], 74K20, 510, optimal error estimate, stiffener, approximate boundary conditions, Composite and mixture properties, Plates, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
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