n-ary fragmentation model with nearest point flaw and maximal net force fracture

Gonzalo Hernandez, Luis Salinas and Andres Avila

Physica A: Statistical Mechanics and its Applications, 2006, vol. 370, issue 2, 565-572

Abstract: A n-ary fragmentation model is introduced as a generalization of Ref. [G. Hernandez, Two-dimensional model for binary fragmentation process with random system of forces, random stopping and material resistance, Physica A 323 (1) (2003) 1–8]. Its main assumptions are: Continuous bi-dimensional material; Uniform and independent random distribution of the net forces (fx,fy); Every fragment fracture stops with constant probability p. Furthermore, the material has q random point flaws that interact with the maximal net forces to produce the fracture. By medium-scale simulations, it was obtained an approximate power law for the fragment size distribution with an exponent in the range [1.01,1.15]. The simulations show close resemblance to actual fragmentation of brittle materials.

Keywords: n-ary Fragmentation; Random stopping; Nearest point flaw; Maximal net force fracture (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:370:y:2006:i:2:p:565-572

DOI: 10.1016/j.physa.2006.02.010

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