Simulation with Ordered Discrete-Stochastic Samples

by Gautam Dasgupta, Columbia Univ, United States,

Abstract: In order to account for the viscoplastic deformations, leading to the failure of structures, the nonlinear dynamic responses can be obtained with convenient spatially discretization schemes. Therein the method of Monte Carlo simulation demands the generation of a population of structures where the material property distribution and/or the boundary geometry could conform with prescribed correlated random fields. It is hereby demonstrated that these problems of system stochasticity can best be analyzed (in the sense of economy in computing time) when the samples are conveniently ordered to minimize the number of iteration between samples. Especially, for the finite element discretization, an appropriate energy norm can be utilized to effect the proposed ordering.

Subject Headings: Material properties | Finite element method | Deformation (mechanics) | Geometrics | Structural behavior | Construction materials | Domain boundary | Monte Carlo method | Europe | Monaco | Monte Carlo

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