Functional Materials, 23, No.2 (2016), p.279-292.

http://dx.doi.org/10.15407/fm23.02.279

Fragmentation of thin lenses

R.Ye.Brodskii, T.V.Kulik

Institute for Single Crystals, NAS of Ukraine, 60 Lenina av., 61001 Kharkiv, Ukraine

Abstract: 

In the paper it was investigated the case of the quasi-two-dimensional fragmentation - fragmentation of the round  lenses  considering dependence of the probability of splitting on energy required for this, i.e. the surface of split area.  lenses  - plates with variable thickness. In the paper  lenses  of several types was investigatet, for each case fragment mass distribution was obtained analytically. In the general case - in parametric form and asymptotics explicitly.

Keywords: 
fragmentation, lenses, plates with variable thickness.
References: 

1. V.V.Yanovsky, A.V.Tur, O.V.Kuklina, Zh. Eksp. i Teor. Fiz., 137(4), 1 (2010).

2. P.L.Krapivsky, E.Ben-Naim, Phys.Rev. E., 50(5), 3502 (1994). http://dx.doi.org/10.1103/PhysRevE.50.3502

3. D.L.Turcotte, J.Geophys. Res., 91, 1921 (1986). http://dx.doi.org/10.1029/JB091iB02p01921

4. B.R.Lawn and T.R.Wilshaw, Fracture of Brittle Solids. Cambridge University Press, Cambridge (1975).

5. R.Shinnar, J. Fluid Mech., 10, 259 (1961). http://dx.doi.org/10.1017/S0022112061000214

6. K.C.Chase, P.Bhattacharyya, and A.Z.Mekjian, Phys. Rev. C, 57, 822 (1998). http://dx.doi.org/10.1103/PhysRevC.57.822

7. S.Redner, Statistical Models for the Fracture ofDisordered Media, ed. H. J. Herrmann and S. Roux. Elsevier Science, New York (1990).

8. T.Ishii and M.Matsushita, J. Phys. Soc. Jap., 61, 3474 (1992). http://dx.doi.org/10.1143/JPSJ.61.3474

9. L.Oddershede, P.Dimon, and J.Bohr, Phys. Rev. Lett., 71, 3107 (1993). http://dx.doi.org/10.1103/PhysRevLett.71.3107

10. T.Kadono, Phys. Rev. Lett., 78, 1444 (1997). http://dx.doi.org/10.1103/PhysRevLett.78.1444

11. O.V.Kuklina, V.V.Mozgin, A.V.Tur, V.V.Yanovsky, Functional Materials, 8(2), 233 (2001).

12. Yu.P.Virchenko, R.Ye.Brodskii, Modern Problems of Natural Sciences, 1(2), 81 (2014).

13. R.Ye.Brodskii, A.V.Tur, V.V.Yanovsky, Functional materials, 19(4), 525 (2012).

Current number: