Generalized Framework for Three-Dimensional Upper Bound Limit Analysis in a Tresca Material

[+] Author and Article Information
A. M. Puzrin

School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332

M. F. Randolph

Center for Offshore Foundation Systems, The University of Western Australia, Nedlands, WA 6907, Australia

J. Appl. Mech 70(1), 91-100 (Jan 23, 2003) (10 pages) doi:10.1115/1.1507764 History: Received July 20, 2001; Revised March 15, 2002; Online January 23, 2003
Copyright © 2003 by ASME
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Bearing capacity coefficient
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Schematic layout of the bearing capacity problem
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Failure mechanisms: (a) d≥b; (b) 0<d<b
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Examples of hyperbolic velocity fields: (a) discontinuity surfaces bounding the passive shear zone for various values of d; (b) hyperbolic streamlines for d=0.4
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Comparison of different velocity fields in the passive zone
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Rotation of a smooth square footing
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Coordinate transformations and velocity boundary conditions: (a) in the plane of rotation; (b) perpendicular to the plane of rotation
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Rotation of a rough circular footing
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Coordinate transformations and velocity boundary condition



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