Based on the fractal particle size distribution, a fragmentation theory for quasi-brittle materials is herein developed. The results are three simple and powerful universal laws for the multiscale energy dissipation under impact and explosion fragmentation for one, two, and three-dimensional bodies, respectively. The three-dimensional law unifies the most important and well-known fragmentation theories. As an example, it has been applied to the prediction of the devastated area due to asteroid impacts on earth as a function of the energy released in the collision.
One, Two, and Three-Dimensional Universal Laws for Fragmentation due to Impact and Explosion
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 ASME Applied Mechanics Division, July 2, 2001; final revision, January 24, 2002. Associate Editor: K. Ravi-Chandar.
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Carpinteri , A., and Pugno , N. (October 31, 2002). "One, Two, and Three-Dimensional Universal Laws for Fragmentation due to Impact and Explosion ." ASME. J. Appl. Mech. November 2002; 69(6): 854–856. https://doi.org/10.1115/1.1488937
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