Publications

Chen, N.-Z. and Guedes Soares, C. (2008), “Spectral Stochastic Finite Element Analysis for Laminated Composite Plates”, Computer Methods in Applied Mechanics and Engineering, Vol. 197, pp. 4830-4839

A spectral stochastic finite element analysis involving material variability is presented for the probabilistic analysis of laminated composite plates. The material properties of each lamina are modeled as a set of random fields and represented by the Karhunen-Loève expansion. The expansion is incorporated into a spatial discretization in accordance with a standard finite element procedure based on the first-order shear deformation theory. A spectral expansion with use of polynomial chaos is employed to represent the stochastic nodal displacements in terms of standard normal random variables. A new preconditioning matrix is proposed for enhancement of the solution of spectral stochastic finite element equations with use of a preconditioning conjugate gradient technique. The various statistics of interest of the system responses is then obtained by means of the coefficients of the spectral expansion. The numerical accuracy and the computational efficiency of the method are demonstrated by comparison with Monte Carlo simulation.

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