Statistical damage mechanics in this work establishes the connection between damaged random heterogeneous micromaterial and the system macroparameter. Renormalization group theory provides the bridge from the microscale to the macroscale. Delaunay lattices, which simulate and capture the role of the disordered microstructure in damage process, substitute a polycrystal specimen assuming that microcracks are grain-boundaries cracks. The macroparameters of the system, in the form of algebraic functions, are obtained applying the Family–Vicsek scaling relation on simulation data.
Statistical Damage Mechanics— Part I: Theory
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the Applied Mechanics Division, November 1, 2003; final revision, May 28, 2004. Associate Editor: H. Gao. Discussion on the paper should be addressed to the Editor, Professor Robert M. McMeeking, Journal of Applied Mechanics, Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Krajcinovic, D., and Rinaldi, A. (February 1, 2005). "Statistical Damage Mechanics— Part I: Theory ." ASME. J. Appl. Mech. January 2005; 72(1): 76–85. https://doi.org/10.1115/1.1825434
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