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Journal of Nanomaterials
Volume 2008, Article ID 946038, 7 pages
Research Article

MCA Model for Simulating the Failure of Microinhomogeneous Materials

Key Laboratory of Mine Disaster Prevention and Control, Shandong University of Science and Technology, Qingdao, Shandong 266510, China

Received 11 July 2008; Revised 19 October 2008; Accepted 25 October 2008

Academic Editor: Xuedong Bai

Copyright © 2008 Yunliang Tan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A special cellular automaton (CA) model called mechanical cellular automaton (MCA) is built, in which inhomogeneity of material cell can be evaluated by Weibull's distribution function. In MCA, such material physical parameters as energy or strength and anisotropy defined by the different transferring energies along different directions are adopted. To simulate a crack or a weak zone, a cluster of weak energy cells are disposed. By the MCA, examples of failure evolving process of material containing one crack, two parallel cracks, and two cracks by bridge conjunction are simulated. The results show for inhomogeneous materials that their failure behaviors are much different from homogeneous ones, self-organization must be considered, and traditional homogeneous mechanics cannot be applied by copying word to word.