
AbstractThe stochastic boundary‐element method (SBEM) is developed in this paper for 3D elastic problems and reliability analysis of structural components. The integral equations of BEM are derived partially by random variables, and the integral equations of SBEM are established. Considering the applied loads and the limitation of material strength to be a Gauss distribution, the numerical results in this paper show good agreement with those obtained from Monte Carlo simulation and theoretical solutions.
random variables, integral equations, Gauss distribution, Fracture and damage, Other numerical methods in solid mechanics, Thin bodies, structures, Boundary element methods applied to problems in solid mechanics
random variables, integral equations, Gauss distribution, Fracture and damage, Other numerical methods in solid mechanics, Thin bodies, structures, Boundary element methods applied to problems in solid mechanics
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