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A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics
This paper presents a new, univariate dimension-reduction method for calculating statistical moments of response of mechanical systems subject to uncertainties in loads, material properties, andExpand
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A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics
SUMMARY A new, generalized, multivariate dimension-reduction method is presented for calculating statistical moments of the response of mechanical systems subject to uncertainties in loads, materialExpand
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A polynomial dimensional decomposition for stochastic computing
This article presents a new polynomial dimensional decomposition method for solving stochastic problems commonly encountered in engineering disciplines and applied sciences. The method involves aExpand
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Decomposition methods for structural reliability analysis
A new class of computational methods, referred to as decomposition methods, has been developed for predicting failure probability of structural and mechanical systems subject to random loads,Expand
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An efficient meshless method for fracture analysis of cracks
Abstract This paper presents an efficient meshless method for analyzing linear-elastic cracked structures subject to single- or mixed-mode loading conditions. The method involves an element-freeExpand
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Mesh-free analysis of cracks in isotropic functionally graded materials
This paper presents a Galerkin-based meshless method for calculating stress-intensity factors (SIFs) for a stationary crack in two-dimensional functionally graded materials of arbitrary geometry. TheExpand
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The effect of bed roughness on scalar fluctuations in turbulent boundary layers
The effect of bed roughness on an iso-kinetic chemical plume released into the logarithmic region of the bed boundary layer of an open channel flow is examined. The bed roughness is variedExpand
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Stochastic sensitivity analysis by dimensional decomposition and score functions
This article presents a new class of computational methods, known as dimensional decomposition methods, for calculating stochastic sensitivities of mechanical systems with respect to probabilityExpand
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On the usefulness of bilateral comparison to tracking turbulent chemical odor plumes
This article reports on the usefulness of bilateral comparison of chemosensory information to an animal or agent tracking an odor to its source. Instantaneous concentration fields of a chemical plumeExpand
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Extended Polynomial Dimensional Decomposition for Arbitrary Probability Distributions
This paper presents an extended polynomial dimensional decomposition method for solving stochastic problems subject to independent random input following an arbitrary probability distribution. TheExpand
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