Upper-Bound Axisymmetric Limit Analysis Using the Mohr-Coulomb Yield Criterion, Finite Elements, and Linear Optimization
Publication: Journal of Engineering Mechanics
Volume 140, Issue 12
Abstract
An upper-bound limit analysis formulation has been presented for solving an axisymmetric geomechanics stability problem using the Mohr-Coulomb failure criterion in conjunction with finite elements and linear programming. The method is based on the application of the von Karman hypothesis, and it requires only nodal velocities as the basic unknown variables. The computational effort needed to solve the axisymmetric problem becomes almost the same as that required for an equivalent plane strain case. By using the proposed method, bearing capacity factors were obtained for a circular footing placed over a cohesive-frictional soil medium. Nodal velocity patterns were also examined. Necessary comparisons have also been given to examine the usefulness of the proposed formulation.
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© 2014 American Society of Civil Engineers.
History
Received: Mar 12, 2014
Accepted: May 5, 2014
Published online: May 28, 2014
Discussion open until: Oct 28, 2014
Published in print: Dec 1, 2014
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