Functional Materials, 23, No.2 (2016), p.279-292.
Fragmentation of thin lenses
Institute for Single Crystals, NAS of Ukraine, 60 Lenina av., 61001 Kharkiv, Ukraine
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.
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).