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Asymptotic Methods in the Buckling Theory of Elastic Shells free ebook download

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Biomedical Engineering

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Author(s):	P. E. Tovstik, Andrei L. Smirnov, Peter Richard Frise, Ard?shir Guran

Date:	2001	Format:	pdf	Language:	English	ISBN/ASIN:	9810247265
Pages:	347	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	3/24/2019 7:38:46 AM

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This book contains solutions to the most typical problems of thin elastic shells buckling under conservative loads. The linear problems of bifurcation of shell equilibrium are considered using a two-dimensional theory of the Kirchhoff-Love type. The explicit approximate formulas obtained by means of the asymptotic method permit one to estimate the critical loads and find the buckling modes.The solutions to some of the buckling problems are obtained for the first time in the form of explicit formulas. Special attention is devoted to the study of the shells of negative Gaussian curvature, the buckling of which has some specific features. The buckling modes localized near the weakest lines or points on the neutral surface are constructed, including the buckling modes localized near the weakly supported shell edge. The relations between the buckling modes and bending of the neutral surface are analyzed. Some of the applied asymptotic methods are standard  the others are new and are used for the first time in this book to study thin shell buckling. The solutions obtained in the form of simple approximate formulas complement the numerical results, and permit one to clarify the physics of buckling.

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Tags: Asymptotic Buckling Elastic Methods Shells Theory

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Asymptotic Methods in the Buckling Theory of Elastic Shells free ebook download

Category: Biomedical Engineering

Description: Click to see full description

Category:
Biomedical Engineering