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TECHNICAL PAPERS

On Plastic Collapse of Media With Random Yield Strength

[+] Author and Article Information
A. P.-D. Ku, R. P. Nordgren

Department of Civil Engineering, Rice University, Houston, TX 77005

J. Appl. Mech 68(5), 715-724 (Feb 06, 2001) (10 pages) doi:10.1115/1.1388011 History: Received June 14, 2000; Revised February 06, 2001
Copyright © 2001 by ASME
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References

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Ku, P.-D., 1997, “Probabilistic Analysis of the Plastic Collapse of Random Media,” Ph.D dissertation, Rice University, Houston, TX.
Lysmer,  J., 1970, “Limit Analysis of Plane Problems in Solid Mechanics,” J. Soil Mech. Found. Div., Am. Soc. Civ. Eng., 96, No. 4, pp. 1311–1334.
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Li,  C.-C., and Der Kiureghian,  A., 1993, “Optimal Discretization of Random Fields,” J. Eng. Mech., 119, No. 6, pp. 1136–1154.
Ditlevsen, O., and Madsen, H. O., 1996, Structural Reliability Methods, John Wiley and Sons, West Sussex, UK.
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Figures

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Element discretization for (a) Hill mechanism and (b) Prandtl mechanism
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Failure mechanism of a three-dimensional half-space and random field discretization mesh
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Deterministic upper and lower-bound results for a plane half-space indentation problem
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Element discretization of 78 elements and 36 random field nodes
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Convergence of reliability index with increasing number of random field nodes
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Convergence of reliability index with increasing number of random field nodes
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Variation of reliability index with increasing correlation length
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Cumulative probability distribution of collapse pressure for the plane half-space problem with Hill’s mechanism
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Variation of reliability index with respect to increasing failure length for three-dimensional half-space under load p=0.85p*

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