Issue 24

S. Psakhie et alii, Frattura ed Integrità Strutturale, 24 (2013) 26-59; DOI: 10.3221/IGF-ESIS.24.04

A CKNOWLEDGMENTS he investigation has been carried out within the SB RAS Program III.23.1 for Basic Research and at partial financial support of the Project No. 5 of the Belarus NAS and SB RAS Program for Joint Basic Research and the Project No. 2.12.2 of the Program No.12 of the Department of Energy, Mechanical engineering, Mechanics and Processes Control of RAS. R EFERENCES [1] O.C. Zienkiewicz, R.L. Taylor, The finite element method set. Elsevier, (2005). [2] M.L. Wilkins, Computer simulation of dynamic phenomena. Berlin Heidelberg: Springer-Verlag, (1999). [3] M.W. Evans and F.H. Harlow, The particle-in-cell method for hydrodynamic calculations. Los Alamos Scientific Laboratory Report No. LA-2139, (1957). [4] J.J. Monaghan, Reports on progress in physics, 68(8) (2005) 1703. [5] G.R. Liu and M.B. Liu, Smoothed Particle Hydrodynamics: a meshfree particle method. Singapore: World Scientific, (2003). [6] W.G. Hoover, C.G. Hoover, Computing in Science and Engineering, 3(2) (2001) 78. [7] W.G. Hoover, C.G. Hoover, American Journal of Physics, 76(4-5) (2008) 481. [8] E. Onate, S.R. Idelson, F. Del Pin, R. Aubry, International Journal of Computational Methods, 1(2) (2004) 267. [9] M. Rieth, Nano-engineering in science and technology. Singapore: World Scientific, (2003). [10] P.A. Cundall, O.D.L. Strack, Geotechnique 29(1) (1979) 47. [11] L. Jing, O. Stephansson, Fundamentals of discrete element method for rock engineering: theory and applications. Elsevier, (2007). [12] D. Greenspan, Computer-oriented mathematical physics. University of Texas at Arlington: Pergamon Press, (1981). [13] P.W. Cleary, M.D. Sinnott, R.D. Morrison, Minerals Engineering, 22(14) (2009) 1218. [14] P.W. Cleary, M.D. Sinnott, R.D. Morrison, Minerals Engineering, 22(14) (2009) 1230. [15] J.E. Hilton, L.R. Mason, P.W. Cleary, Chemical engineering Science, 65(5) (2010) 1584. [16] L. Sibille, F. Nicot, F.V. Donze, F. Darve, International Journal for Numerical and Analytical Methods in Geomechanics, 31(3) (2007) 457. [17] N. Cho, C.D. Martin, D.C. Sego, International Journal of Rock Mechanics and Mining Sciences, 45(8) (2008) 1335. [18] G. Saussine, C. Cholet, P.E. Gautier, F. Dubois, C. Bohatier, J.J. Moreau, Computer Methods in Applied Mechanics and Engineering, 195(19-22) (2006) 2841. [19] D.O. Potyondy, P.A. Cundall, International Journal of Rock Mechanics and Mining Sciences, 41(8) (2004) 1329. [20] G. Wang, A. Al-Ostaz, A.H.-D. Cheng, P.R. Mantena, Computational Materials Science, 44(4) (2009) 1126. [21] V.L. Popov, S.G. Psakhie, Physical Mesomechanics, 4(1) (2001), 15. [22] S.G. Psakhie, Y. Horie, S.Yu. Korostelev, A.Yu. Smolin, A.I. Dmitriev, E.V. Shilko, S.V. Alekseev, Russian Physics Journal 38 (1995) 1157. [23] S.G. Psakhie, Y. Horie, G.P. Ostermeyer, S.Yu. Korostelev, A.Yu. Smolin, E.V. Shilko, A.I. Dmitriev, S. Blatnik, M. Spegel, S. Zavsek, Theoretical and Applied Fracture Mechanics, 37 (2001) 311. [24] S.G. Psakhie, Y. Horie, E.V. Shilko, A.Yu. Smolin, A.I. Dmitriev, S.V. Astafurov, International Journal of Terraspace Science and Engineering, 3(1) (2011) 93. [25] S.G. Psakhie, E.V. Shilko, A.Yu. Smolin, A.V. Dimaki, A.I. Dmitriev, Ig.S. Konovalenko, S.V. Astafurov, S. Zavsek, Physical Mesomechanics, 14 (2011) 224. [26] A.S. Mikhailov, Foundations of Synergetics I. Distributed Active Systems. Berlin: Springer, (1994). [27] D. Basanta, P.J. Bentley, M.A. Miodownik, E.A. Holm, Lecture Notes in Computer Science, 2610 (2003) 77. [28] A.V. Dimaki, E.V. Shilko, S.G. Psakhie, Combustion, Explosion, and Shock waves, 41(2) (2005) 151. [29] S.G. Psakhie, E.V. Shilko, A.Yu. Smolin, A.I. Dmitriev, S.Yu. Korostelev, Proceedings of US-Russian Workshop “Shock Induced Chemical Processing” (1996) 21. [30] M.S. Dawa, S.M. Foilesa, M.I. Baskes, Materials Science Reports, 9, (1993) 251. [31] S.G. Psakhie, M.A. Chertov, E.V. Shilko, Physical Mesosmechanics, 3(3) (2000) 89. [32] L. Jing, O. Stephansson, Fundamentals of discrete element method for rock engineering: theory and applications. Elsevier, (2007). T

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