Linearization of Drucker-Prager yield criterion for axisymmetric problems: implementation in lower-bound limit analysis

Kumar, Jyant and Chakraborty, Debarghya (2013) Linearization of Drucker-Prager yield criterion for axisymmetric problems: implementation in lower-bound limit analysis. In: International Journal of Geomechanics, 13 (2). pp. 153-161.

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Abstract

The linearization of the Drucker-Prager yield criterion associated with an axisymmetric problem has been achieved by simulating a sphere with the truncated icosahedron with 32 faces and 60 vertices. On this basis, a numerical formulation has been proposed for solving an axisymmetric stability problem with the usage of the lower-bound limit analysis, finite elements, and linear optimization. To compare the results, the linearization of the Mohr-Coulomb yield criterion, by replacing the three cones with interior polyhedron, as proposed earlier by Pastor and Turgeman for an axisymmetric problem, has also been implemented. The two formulations have been applied for determining the collapse loads for a circular footing resting on a cohesive-friction material with nonzero unit weight. The computational results are found to be quite convincing. (C) 2013 American Society of Civil Engineers.

Item Type:	Journal Article
Publication:	International Journal of Geomechanics
Publisher:	American Society of Civil Engineers
Additional Information:	Coopyright of this article belongs to American Society of Civil Engineers.
Keywords:	Failures; Foundations; Limit Analysis; Optimization; Plasticity
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	18 Jun 2013 11:44
Last Modified:	18 Jun 2013 11:44
URI:	http://eprints.iisc.ac.in/id/eprint/46702

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