Stochastic simulation of non-Gaussian/non-stationary properties in a functionally graded plate

By F. Ferrante, L. Graham‐Brady. 2005

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A stochastic micromechanical model for elastic properties of functionally graded materials (2007, background): “This fundamental determinism of the classical micromechanics is a practical concern because there is sample-to-sample variability in FGM microstructural features (Ferrante and Graham-Brady, 2005).”
Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007, unknown): “There exist a wide variety of methods related to the translation concept (memory-less non-linear transformation of a Gaussian field to a non-Gaussian one) which are using this technique for the generation of sample functions of the underlying Gaussian field [11,12,21,24,32,46].”
Stochastic multiscale models for fracture analysis of functionally graded materials (2008, background): “Unfortunately, research in stochastic modeling of FGMs has not been widespread and is only now gaining attention [14,15].”
Stochastic Finite element analysis of the free vibration of functionally graded material plates (2008, unknown): “Later, they added the effect of non-Gaussian porosity randomness on the calculation of thermal distributions [2].”