Stochastic Finite & Boundary Element Simulations

by Gautam Dasgupta, Columbia Univ, New York City, United States,



Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability

Abstract:

Stochastic constitutive properties are important in real-world design-analyses. Therein the spatially varying random coefficients in field equations necessitate rather unconventional computational techniques. For coupled thermal and elastodynamic random field boundary element problems following the stationary iteration strategy, the 'inversion' of the uncoupled operators pertaining to a uniform continuum is deemed adequate. Additional convection like spatially random terms, initially derived by Tatarski, must be accounted for to capture large statistical deviations in stochastic finite element formulations from Monte Carlo simulation. The stochastic finite element formulations require stochastic shape functions and stochastic strain-displacement transformation matrix. The latter is focused on here.

Subject Headings: Boundary element method | Stochastic processes | Finite element method | Monte Carlo method | Strain | Greens function | Thermal effects

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