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In this paper we consider a thin circular elastic plate of thickness t and radius R subjected either to a uniform lateral pressure, p, or to a uniform edge thrust, f. The first loading situation is referred to as a bending problem and the second as a buckling problem. In both cases only rotationally symmetric deformations will be considered so that all deflections and stresses are functions of a single radial coordinate, r.
It is well known that the classical linear theory of plates yields solutions of these problems which are valid only for a limited range of low loads. For larger values of p and f it is necessary to apply non-linear plate theories which allow for finite deflections and account for the interaction of membrane and bending stresses. Thus we employ the von Karman equations [1] which are based on a non-linear theory of elasticity with infinitesimal strains and are valid for flat plates undergoing small but finite displacements. For rotationally symmetric deformations of circular plates these equations reduce to two coupled second order non - linear ordinary differential equations.
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Non-Linear Bending and Buckling of Circular Plates (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book delves into the complexities of bending and buckling in circular plates, offering a comprehensive exploration of the subject from its fundamental principles to advanced analytical approaches. The author masterfully presents a detailed examination of the governing equations and boundary conditions associated with these phenomena. Through insightful analysis and illustrative examples, the book elucidates the intricate interplay between applied loads, material properties, and plate geometry. It explores the emergence of boundary layer effects, providing a deeper understanding of the localized stress concentrations that arise near the edges of plates under deformation. The book significantly contributes to the existing body of knowledge on plate mechanics, offering valuable insights for researchers, engineers, and students seeking a comprehensive understanding of this field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332169559_0
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NonLinear Bending and Buckling of Circular Plates Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332169559
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NonLinear Bending and Buckling of Circular Plates Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332169559
Quantity: 15 available