Abstract

A procedure to develop the fundamental solutions for the boundary element method with small system stochasticity is presented herein. Analytical as well as numerical results are furnished for circilar Mindlin plates with stochastic thicknesses. A concentrated transverse point load and concentrated bending moments are considered with an arbitrary set of plate boundary conditions. The perturbation technique employed herein is correct only for the first order stochastic effects originating from the spatial variability of thickness.

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