A paper on stochastic multiscale fracture analysis of three-dimensional functionally graded compositesSubmitted by arindam.chakraborty on Mon, 2010-12-06 21:18.
Given link is for a new moment-modiﬁed polynomial dimensional decomposition (PDD) method developed for stochastic multiscale fracture analysis of three-dimensional, particle-matrix, functionally graded materials (FGMs) subject to arbitrary boundary conditions.
The computational mechanics group at The University of Iowa, led by Professor S. Rahman, is looking for new Ph.D. students, who are capable of and interested in performing high-quality graduate research in stochastic dynamics and want to pursue academic/research career afterwards. The research, supported by NSF and others, entails developing new decomposition methods for solving general random eigenvalue problems encountered in engineering and sciences. The topic covers dynamics (mechanics), stochastics, and computational methods. Therefore, a solid background in dynamics/vibration and elementary numerical analysis is a must; some exposure to uncertainty and probabilistic methods is desirable.
A paper on developing stochastic micromechanical model for elastic properties of functionally graded material (FGM)Submitted by arindam.chakraborty on Mon, 2007-02-12 13:57.
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.