Analytical Elastic Solution Based on Fourier Series for a Laterally Confined Granular Column
Publication: Journal of Engineering Mechanics
Volume 134, Issue 11
Abstract
This paper presents an analytical solution methodology for the complete stress and displacement fields of a laterally confined granular column loaded from the top end. The granular column is idealized as a homogeneous isotropic elastic medium with Coulomb’s friction at the lateral boundary. The solution methodology consists of an analytical procedure that incorporates a potential approach with trigonometric series and Bessel functions, finite Fourier transforms and the superposition method, and an iterative algorithm to satisfy the Coulomb’s friction condition at the lateral boundary. Stress and displacement fields are computed for a specific example and found completely consistent with corresponding finite element results. Key characteristics, computational errors, the convergence behavior, and restrictions of the present approach are discussed. The methodology developed herein can be beneficially applied in the validation process of numerical simulation techniques in granular mechanics such as finite or discrete element methods.
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Acknowledgments
The writers gratefully acknowledge support from the National Aeronautics and Space Administration (NASANASA), Washington, D.C. under its Experimental Program to Stimulate Competitive Research (EPSCoR) in Connecticut; Hamilton Sundstrand, Windsor Locks, Conn.; and the University of Connecticut, Storrs, Conn.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 134 • Issue 11 • November 2008
Pages: 937 - 951
Copyright
© 2008 ASCE.
History
Received: Dec 19, 2007
Accepted: Mar 31, 2008
Published online: Nov 1, 2008
Published in print: Nov 2008
Notes
Note. Associate Editor: Anil Misra
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