000004970 001__ 4970
000004970 005__ 20141120134901.0
000004970 04107 $$aeng
000004970 046__ $$k2008-06-25
000004970 100__ $$aRahman, S.
000004970 24500 $$aMULTISCALE FRACTURE OF RANDOM HETEROGENEOUS MATERIALS

000004970 24630 $$n4.$$pProceedings of the 4th International ASRANet Colloquium
000004970 260__ $$bASRANet Ltd., 2008
000004970 506__ $$arestricted
000004970 520__ $$2eng$$aThis 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.

000004970 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004970 653__ $$a

000004970 7112_ $$a4th International ASRANet Colloquium$$cAthens (GR)$$d2008-06-25 / 2008-06-27$$gASRANet4
000004970 720__ $$aRahman, S.
000004970 8560_ $$ffischerc@itam.cas.cz
000004970 8564_ $$s3367130$$uhttps://invenio.itam.cas.cz/record/4970/files/004_Rahman,_Sharif.pdf$$yOriginal version of the author's contribution as presented on CD, paper No. 4.
000004970 962__ $$r4967
000004970 980__ $$aPAPER