caa a22 4500 469124563 CHVBK 20180323133147.0 cr unu---uuuuu 170328e19920601xx s 000 0 eng 10.1007/BF00035190 doi (NATIONALLICENCE)springer-10.1007/BF00035190 A stochastic damage model for the rupture prediction of a multi-phase solid [Elektronische Daten] Part II: Statistical approach [Yuan Lua, Wing Liu, Ted Belytschko] The stochastic damage model, which has been proposed in Part I of this paper, is utilized to analyze quantitatively the effects of uncertainties in locations, orientations and numbers of microcracks at the macro-tip. This is accomplished by introducing a computer simulation model which incorporates a statistical characterization of geometrical parameters of a random microcrack array. The counteracting effects of microcracking on the fracture toughness, namely, toughness enhancement and toughness degradation, are explored statistically through the change of the location and size of the near tip damage zone. The effects of changes in the geometric configuration and density of microcracks at the macro-tip are also examined through the present statistical approach. The validity of the present model is verified by comparing the obtained statistical distribution with the analytic model based on the Neville distribution function. A very good fit achieved by the use of the Neville function demonstrates the potential of the present damage model, in predicting the inherent statistical distribution of the fracture toughness from the intrinsic random microdefects. Kluwer Academic Publishers, 1992 Lua Yuan Department of Mechanical Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut Liu Wing Department of Mechanical Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut Belytschko Ted Department of Mechanical Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut International Journal of Fracture Kluwer Academic Publishers 55/4(1992-06-01), 341-361 0376-9429 55:4<341 1992 55 10704 https://doi.org/10.1007/BF00035190 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00035190 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lua Yuan Department of Mechanical Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut NATIONALLICENCE 700 1- Liu Wing Department of Mechanical Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut NATIONALLICENCE 700 1- Belytschko Ted Department of Mechanical Engineering, Northwestern University, 60208, Evanston, Illinois, USA aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 55/4(1992-06-01), 341-361 0376-9429 55:4<341 1992 55 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 469124547 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer