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Fundamental Solutions of Mindlin Plates with Variable Thickness for Stochastic Boundary Elements

O. Vilmann
Gautam Dasgupta
Organization: Columbia University
Department: Department of Civil Engineering and Engineering Mechanics
Journal / Anthology

Engineering Analysis with Boundary Elements
Year: 1992
Volume: 9
Page range: 47-59

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 circular 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.

*Engineering > Mechanical and Structural Engineering