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

Author

Listed:
  • Hernandez, Gonzalo
  • Salinas, Luis
  • Avila, Andres

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.

Suggested Citation

  • Hernandez, Gonzalo & Salinas, Luis & Avila, Andres, 2006. "n-ary fragmentation model with nearest point flaw and maximal net force fracture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 565-572.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:565-572
    DOI: 10.1016/j.physa.2006.02.010
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    References listed on IDEAS

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    1. Rodgers, G.J. & Hassan, M.K., 1996. "Stable distributions in fragmentation processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 19-30.
    2. Hernández, Gonzalo, 2001. "Discrete model for fragmentation with random stopping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(1), pages 13-24.
    3. Ferenc Kun & Hans J. Herrmann, 1996. "Fragmentation Of Colliding Discs," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(06), pages 837-855.
    4. Hernandez, Gonzalo, 2003. "Two-dimensional model for binary fragmentation process with random system of forces, random stopping and material resistance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 1-8.
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