Madej, L., Paul, H., Hodgson, P.D., Pietrzyk, M., Possibility to include in numerical simulation stochastic and discontinuous phenomena occuring in material


Simulation of materials processing has to face new difficulties regarding proper description of various discontinuous and stochastic phenomena occurring in materials. Commonly used rheological models based on differential equations treat material as continuum and are unable to describe properly several important phenomena. That is the reason for ongoing search for alternative models, which can account for non-continuous structure of the materials and for the fact, that various phenomena in the materials occur in different scales from nano to mezo. Accounting for the stochastic character of some phenomena is an additional challenge. One of the solutions may be the coupled Cellular Automata (CA) – Finite Element (FE) multi scale model. A detailed discussion about the advantages given by the developed multi scale CAFE model for strain localization phenomena in contrast to capabilities provided by the conventional FE approaches is a subject of this work. Results obtained from the CAFE model are supported by the experimental observations showing influence of many discontinuities existing in the real material on macroscopic response. An immense capabilities of the CAFE approach in comparison to limitations of the FE method for modeling of real material behavior is are shown this work as well.

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author = "Madej, L., Paul, H., Hodgson, P.D., Pietrzyk, M.",
title = "Possibility to include in numerical simulation stochastic and discontinuous phenomena occuring in material",
journal = "Computer Methods in Materials Science",
volume = "7",
address = "Akademia Górniczo Hutnicza, Kraków, POL",
pages = "162-167",
year = "2007",
url = ""}