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IssuesArchive of Issues2012-1pp.79-85

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D.V. Babich, "Deformation of Brittle Materials with Scattered Cracking," Mech. Solids. 47 (1), 79-85 (2012)
Year 2012 Volume 47 Number 1 Pages 79-85
DOI 10.3103/S0025654412010074
Title Deformation of Brittle Materials with Scattered Cracking
Author(s) D.V. Babich (Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Nesterova 3, Kiev, 03057 Ukraine, babich_dv@ukr.net)
Abstract A structural approach combined with the energy method is used to construct a continuum model of the joint process of deformation and scattered cracking in elastic-brittle isotropic materials. The proposed approach allows one to match the form of the symmetry of the effective deformation properties and damageability of the material depending on the stress state character.
Keywords continuum model, deformation, scattered cracking, elastic-brittle material
References
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2.  D. V. Babich, "Approximate Accounting of Material Damage in Problems of the Equilibrium of Elastic Shells," Probl. Prochn., No. 3, 20-30 (1996) [Strength of Materials (Engl. Transl.) 28 (3), 178-185 (1996)].
3.  D. V. Babich, "The Stability of Shells of Revolution with Microdamages," Prikl. Mat. Mekh. 67 (5), 885-895 (2003) [J. Appl. Math. Mech. (Engl. Transl.) 67 (5), 783-791 (2003)].
4.  D. V. Babich, "On the Local Buckling of Compressed Shells of Revolution Due to Micro-Fracture in the Material," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 128-136 (2003) [Mech. Solids (Engl. Transl.) 38 (5), 106-112 (2003)].
5.  D. V. Babich, "Simulation of Coupled Processes of Deformation and Cracking in Elastic Brittle Materials," Probl. Prochn., No. 2, 96-105 (2004) [Strength of Materials (Engl. Transl.) 36 (2), 178-184 (2004)].
6.  R. M. Christensen, Mechanics of Composite Materials (Wiley, New York, 1979; Mir, Moscow, 1982).
7.  R. L. Salganik, "Mechanics of Bodies with Many Cracks," Izv. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 149-158 (1973) [Mech. Solids (Engl. Transl.) 8 (4) 135-143 (1973)].
8.  V. V. Bolotin, Service Life Prediction for Machines and Structures (Mashinostroenie, Moscow, 1984) [in Russian].
9.  H. E. Daniels, "The Statical Theory of the Strength of Bundles of Threads. I," Proc. Roy. Soc. London. Ser. A 183 (955), 405-435 (1945).
10.  G. S. Pisarenko and V. S. Dzyuba, "Equations of State of Reinforced Plastics under Force and Thermal Actions with the Mechanical Damage and Physical-Mechanical Transformations Taken into Account," in Proc. 2nd Soviet-Amer. Symposium on Strength and Fracture of Composite Materials (Zinatne, Riga, 1983), pp. 196-200 [in Russian].
11.  L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics. Vol. 5: Statistical Physics, Pt. 1 (Nauka, Moscow, 1967; Pergamon Press, Oxford, 1969).
12.  M. G. Kendall and P. A. P. Moran, Geometrical Probability (Hafner, New York, 1963; Nauka, Moscow, 1972).
13.  A. S. Volmir, Stability of Elastic Systems (Fizmatgiz, Moscow, 1963) [in Russian].
Received 16 April 2009
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