MULTISCALE FRACTURE OF RANDOM HETEROGENEOUS MATERIALS

Abstract eng:
This article presents new probabilistic models for generating microstructures and multiscale fracture analysis of a random heterogeneous material. The microstructure model involves a level-cut inhomogeneous, filtered Poisson field comprising a sum of deterministic kernel functions that are scaled by random variables and centered at Poisson points. The fracture model involves stochastic description of the particle volume fraction and locations and constituent material properties; a two-scale algorithm including microscale and macroscale analyses; and Monte Carlo simulation for reliability analysis. Numerical results demonstrate that the random field model is capable of producing a wide variety of twoand three-dimensional microstructures containing particles of various sizes, shapes, densities, gradations, and orientations. The results of fracture analysis indicate that the concurrent model developed is sufficiently accurate, gives probabilistic solutions very close to those generated from the microscale model, and can reduce the computational effort of the latter model by more than a factor of two. In addition, the concurrent multiscale model predicts crack trajectory as accurately as the microscale model.

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