Limit Analysis of a Stochastically Inhomogeneous Plastic Medium With Application to Plane Contact Problems

[+] Author and Article Information
R. P. Nordgren

Department of Civil Engineering, Rice University Houston, TX 77251

J. Appl. Mech 59(3), 477-484 (Sep 01, 1992) (8 pages) doi:10.1115/1.2893748 History: Received June 12, 1990; Revised January 04, 1991; Online March 31, 2008


The lower and upper bound theorems of plastic limit analysis are extended to a stochastically inhomogeneous medium. The extended theorems provide bounds on the mean safety factor against plastic collapse. A three-parameter yield function is treated by introducing a spatial correlation function for uniaxial yield strength. Application of the stochastic upper-bound theorem is made to the plane problem of a truncated wedge under contact pressure. The results apply to the design of arctic structures against local ice pressure.

Copyright © 1992 by The American Society of Mechanical Engineers
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