References
A. A. Il'yushin, Mechanics of Continuous Media [in Russian], Izd. Mosk. Univ., Moscow (1990).
B. E. Pobedrya, “Thermodynamic criteria of the strength of composites,” Mekh. Kompozitn. Mater.,29, No. 3, 302–310 (1993).
B. E. Pobedrya, Mechanics of Composite Materials [in Russian], Izd. Mosk. Univ., Moscow (1984).
B. E. Pobedrya, Numerical Methods in the Theory of Elasticity and Plasticity [in Russian], Izd. Mosk. Univ., Moscow (1995).
S. G. Mikhlin, Variation Methods in Mathematical Physics [in Russian], Nauka, Moscow (1970).
B. E. Pobedrya, S. V. Sheshenin, and T. Kholmatov, The Stress Problem [in Russian], FAN, Tashkent (1988).
A. A. Il'yusyhin and B. E. Pobedrya, Principles of the Mathematical Theory of Thermal Viscoelasticity [in Russian], Nauka, Moscow (1970).
S. G. Mikhlin, “Cossar funcitons,” in: Problems of Mathematical Analysis [in Russian], Izd. Leningr. Univ., Leningrad (1966), pp. 59–69.
B. E. Pobedrya and S. V. Sheshenin, “The effect matrix”, Vest. Mosk. Unta., Ser. 1, Mat., Meth., No. 6, 76–81 (1979).
B. E. Pobedrya and P. V. Chistyakov, “Solution of three-dimensional problems of the theory of elasticity by the Monte Carlo method,” Prikl. Mat. Mekh., No. 2, 341–345 (1988).
E. G. D'yakonov, Minimization of Computational Work [in Russian], Nauka, Moscow (1989).
V. S. Pugachev, Probability Theory and Mathematical Statistics [in Russian], Nauk, Moscow (1979).
V. A. Lomakin, Statistical Problems of the Mechanics of Solid Deformable Bodies [in Russian], Nauka, Moscow (1970).
G. P. Sendeckyj (ed.), Mechanics of Composite Materials, Academic Press, New York (1974).
S. K. Kanaun and V. M. Levin, The Effective Field Method in the Mechanics of Composite Materials [in Russian], Lzd. Petrozav. Univ., Petrozavodsk (1993).
I. F. Obraztsov, V. V. Vasil'ev, and V. A. Bunakov, Optimum Reinforcement of Shells of Revolution Made of Composite Materials [in Russian], Mashinostroenie, Moscow (1977).
V. L. Narusberg and G. A. Teters, Stability and Optimization of Composite Shells [in Russian], Zinatne, Riga (1988).
M. I. Kulak, “Structural aspects of fractal mechanics of wood-polymer composites,” Izv. Akad. Nauk BSSR, Ser. Fiz. Tekh. Nauk, No. 2, 18–22 (1991).
V. S. Ivanova, A. S. Balankin, I. Zh. Bunin, and A. A. Oksogaev, Synergetics and Fractals in Materials Science [in Russian], Nauka, Moscow (1994).
N. S. Bakhvalov and G. P. Pansenko, Averaging of Processes in Periodic Media [in Russian], Nauka, Moscow (1984).
B. E. Pobedrya and V. I. Gorbachev, “Effective characteristics of inhomogeneous media,” Prikl. Mat. Mekh. (1996) (in press).
V. I. Gorbachev, “The Green tensor method for solving boundary value problems of the theory of elasticity of inhomogeneous bodies,” Vychislit. Mekh. Deform. Tverd. Tela. No. 2, 61–76 (1991).
A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Resistance of Polymer and Composite Materials [in Russian], Zinatne, Riga (1980).
H. Liebowitz (ed.), Fracture [Russian translation], Parts I and II, Mir, Moscow (1976).
L. J. Broutman (ed.), Fracture and Fatigue, Academic Press, New York (1974).
Yu. V. Sokolkin and A. A. Tashkinov, Mechanics of Deformation and Fracture of Structurally Inhomogeneous Bodies [in Russian], Nauka, Moscow (1984).
V. P. Tamuzh and V. S. Kuksenko, Micromechanics of Fracture of Polymer Materials [in Russian], Zinatne, Riga (1978).
G. P. Cherepanov, Mechanics of Fracture of Composite Materials [in Russian], Nauka, Moscow (1983).
A. S. Ovchinskii, Fracture Processes in Composite Materials [in Russian], Nauka, Moscow (1988).
O. B. Naimark and M. M. Davydova, “Topological (fractal) analysis of the kinetics of accumulation of defects in estimation of the strength of carbon composites.” Mekh. Kompozitn. Mater, No. 1, 19–30 (1994).
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M. V. Lomonosov Moscow State University, Russia. Translated from Mekhanika Kompozitnykh Materialov, Vol. 32, No. 6, pp. 729–746, November–December, 1996.
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Pobedrya, B.E. Principles of computational mechanics of composites. Mech Compos Mater 32, 504–515 (1996). https://doi.org/10.1007/BF02280632
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DOI: https://doi.org/10.1007/BF02280632