Given link is for a stochastic micromechanical model developed for predicting probabilistic characteristics of elastic mechanical properties of an isotropic functionally graded material (FGM) subject to statistical uncertainties in material properties of constituents and their respective volume fractions.

The model involves non-homogeneous, non-Gaussian random field representation of phase volume fractions and random variable description of constituent material properties. A three-phase Mori–Tanaka model for underlying micromechanics and homogenization and a novel dimensional decomposition method for obtaining probabilistic descriptors are used.

Comments are welcome.

URL: http://dx.doi.org/10.1016/j.mechmat.2006.08.006