13th International Conference on Fracture June 16–21, 2013, Beijing, China -8- width), the cracks in the symmetric picture cannot grow further outside the plate boundaries. The energy expenditure of the original symmetric fracture scheme with n = 4 becomes exhausted. Then, we obtain the problem of minimal-power-consuming fracture scheme under the conditions that two transverse sectors are bounded in height by the plate half-width, i.e., the problem of minimization of W with respect to L and n with constraints in the form of inequalities such as Li,y ≤ b/2. The picture begins to distort. If we formally remain in the class of rectilinear solutions-cracks, then we obtain solutions-intervals with ends sliding along the long sides of the plate away from the ordinate axis (the cracks begin to bend towards the plate axis). Just as above, starting from certain values of W (or u*), a symmetric solution with n > 4 may appear, etc. Figure 4 In practice, the arising cracks are obviously curvilinear, and this fact must be taken into account by more realistic models of crack formation. Acknowledgements This research was partially supported by the RFBR under project No. 11-08-01243. References [1] R.V. Goldstein (Ed.) Mechanics and Physics of Ice, Nauka, Moscow, 1983 [in Russian]. [2] S.S. Solntsev, E.M. Morozov, Fracture of glass, Mashinostroenie, Moscow, 1978 [in Russian]. [3] G.S. Pisarenko, A.P. Yakovlev, and V.V. Matveev, Reference Book in Strength of Materials, Naukova Dumka, Kiev, 1975 [in Russian]. [4] V.E. Kuz’michev, Physics Laws and Formulas, Reference book, Naukova Dumka, Kiev, 1989 [in Russian]. [5] G.P. Cherepanov, Mechanics of Brittle Failure, Nauka, Moscow, 1974 [in Russian].
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