Sharif Rahman

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Abstract. The main theme of this paper is error analysis for approximations derived from two variants of dimensional decomposition of a multivariate function: the referential dimensional decomposition (RDD) and analysisof-variance dimensional decomposition (ADD). New formulae are presented for the lower and upper bounds of the expected errors committed by(More)
This paper presents a polynomial dimensional decomposition (PDD) method for global sensitivity analysis of stochastic systems subject to independent random input following arbitrary probability distributions. The method involves Fourier-polynomial expansions of lower-variate component functions of a stochastic response by measure-consistent orthonormal(More)
This paper presents new elastic and elastic±plastic ®nite element solutions of the J-integral for a pipe containing o€-center through-wall cracks under pure bending. The analysis is based on a three-dimensional nonlinear ®nite element method and small-strain theory. One hundred and ®ve analyses were performed using the ABAQUS commercial code for a wide(More)
This paper presents a new continuum shape sensitivity method for calculating the mixed-mode stress-intensity factors of a stationary crack in two-dimensional, linear-elastic, orthotropic functionally graded materials with arbitrary geometry. The method involves the material derivative concept taken from continuum mechanics, the mutual potential energy(More)
A stochastic meshless method is presented for solving boundary-value problems in linear elasticity that involves random material properties. The material property was modelled as a homogeneous random eld. A meshless formulation was developed to predict stochastic structural response. Unlike the nite element method, the meshless method requires no structured(More)
This technical note presents explicit formulas for calculating the response moments of stochastic systems by polynomial dimensional decomposition entailing independent random input with arbitrary probability measures. The numerical results indicate that the formulas provide accurate, convergent, and computationally efficient estimates of the second-moment(More)