Approach to simulation of deformation and fracture of hierarchically organized heterogeneous media, including contrast media

Physical Mesomechanics

Volumn 14, Issue 5-6, 2011, Pages 224-248

  Psakhie, S G ^a,b,c   Shilko, E V ^a,b   Smolin, A Yu ^a,b   Dimaki, A V ^a   Dmitriev, A I ^a,b   Konovalenko, Ig S ^a   Astafurov, S V ^a   Zavshek, S ^d  

^a INSTITUTE OF STRENGTH PHYSICS AND MATERIALS SCIENCE   (Russian Federation)

^b TOMSK STATE UNIVERSITY   (Russian Federation)

^c NATIONAL RESEARCH TOMSK POLYTECHNIC UNIVERSITY   (Russian Federation)

^d Velenje Coal Mine   (Slovenia)

Author keywords

Elasticity; Fracture; Heterogeneous medium; Hierarchy of structural scale levels; Movable cellular automaton method; Numerical simulation; Plasticity

Indexed keywords

EID: 84855453294     PISSN: 10299599     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physme.2011.12.003     Document Type: Article

References (48)

1. V.E. Panin (Ed.), Structure Levels of Deformation and Fracture, Nauka, Novosibirsk, 1990.(in Russian).
2. V.E. Panin, V.A. Likhachev and Yu.V. Grinyaev, Structural Levels of Deformation in Solids, Nauka, Novosibirsk, 1985 (in Russian).
3. Sadovskii V.M. Natural rock lumpiness. DAN USSR 1979, 247(4):829. (in Russian).
4. Panin V.E. Methodology of physical mesomechanics as the basis for model construction of computer-aided design of materials. Russ. Phys. J. 1995, 38(11):1105.
5. V.E. Panin, Yu.V. Grinyaev and S.G. Psakhie, Two decades of developments in physical mesomechaincs: Achievements, problems and prospects, Fiz. Mezomekh., 7, Spec. Iss., Part 1 (2004) 1-25.(in Russian).
6. O.C. Zenkevich, Finite Element Method in Engineering Science, McGraw-Hill, New-York, 1971.
7. M.L. Wilkins, Calculation of Elastic-Plastic Flow, in Methods in Computational Physics, Vol. 3, Ed. by B. Alder, S. Fernbach and M. Ro-tenberg, Academic Press, New York (1964) 211.
8. M.W. Evans and F.H. Harlow, The Particle-in-Cell Method for Hy-drodynamic Calculations, Los Alamos Scientific Laboratory Report No. LA-2139, Los Alamos, 1957.
9. Monaghan J.J. Smoothed particle hydrodynamics. Rep. Progr. Phys. 2005, 68(8):1703.
10. Hoover W.G., Hoover C.G. Computational physics with particles. Amer. J. Phys. 2008, 76(4-5):481.
11. Onate E., Idelson S.R., Del Pin F., Aubry R. The particle finite element method. An overview, Int. J. Comput. Meth. 2004, 1(2):267.
12. M. Rieth, Nano-engineering in Science and Technology, World Scientific, Singapore, 2003.
13. Cundall P.A., Strack O.D.L. A discrete numerical model for granular assemblies. Geotechnique 1979, 29(1):47.
14. L. Jing and O. Stephansson, Fundamentals of Discrete Element Method for Rock Engineering: Theory and Applications, Elsevier, Oxford, 2007.
15. Sibille L., Nicot F., Donze F.V., Darve F. Material instability in granular assemblies from fundamentally different models. Int. J. Numer. Anal. Meth. Geomech. 2007, 31(3):457.
16. Martin C.L., Bouvard D. Study of the cold compaction of composite powders by the discrete element method. Acta Mater. 2003, 51(2):373.
17. Potyondy D.O., Cundall P.A. A bonded-particle model for rock. Int. J. Rock Mech. Min. Sci. 2004, 41(8):1329.
18. M.S. Daw, S.M. Foiles and M.I. Baskes, The embedded-atom method: A review of theory and applications, Mat. Sci. Rep., 9, No. 7-8 (1993)251.
19. Psakhie S.G., Ostermeyer G.P., Dmitriev A.I., Shilko E.V., Smo-lin A.Yu., Korostelev S.Yu. Method of movable cellular automata as a new trend of discrete computational mechanics. I. Theoretical description. Phys. Mesomech. 2000, 3(2):5.
20. Psakhie S.G., Horie Y., Ostermeyer G.-P., et al. , Movable cellular automata method for simulating materials with mesostructure. Theor. Appl. Fract. Mech. 2001, 37(1-3):311.
21. S.G. Psakhie, E.V. Shilko, A. Yu. Smolin, A.I. Dmitriev and S. Yu. Korostelev, Computer Aided Study of Reaction-Assisted Powder Mixture Shock Compaction at Meso-scale. New Computational Technique, in Proc. US-Russian Workshop «Shock Induced Chemical Process-ing», St. -Petersburg (1996)21.
22. Psakhie S.G., Horie Y., Korostelev S.Yu., Smolin A.Yu., Dmitriev A.I., Shilko E.V., Alekseev S.V. Movable cellular automata method as a simulation tool in physical mesomechanics. Izv. Vuzov Fiz. 1995, 38(11):58. (in Russian).
23. M.L. Wilkins, Computer Simulation of Dynamic Phenomena, Springer-Verlag, Berlin, 1999.
24. M.L. Wilkins and M.W. Gutman, Plane Stress Calculations with a Two Dimensional Elastic-Plastic Computer Program, University of California, Lawrence Livermore Laboratory, 1976. - 15 p. /Preprint UCRL-77251.
25. Psakhie S.G., Smolin A.Yu., Stefanov Yu.P., Makarov P.V., Shilko E.V., Chertov M.A., Evtushenko E.P. Simulation of behavior of complex media on the basis of a discrete-continuous approach. Phys. Mesomech. 2003, 6(5-6):47.
26. Stefanov Yu.P. Wave dynamics of cracks and multiple contact surface interaction. Theor. Appl. Fract. Mech. 2000, 34/2:101.
27. Dmitriev A.I., Smolin A.Yu., Schargott M., Popov V.L., Psakhie S.G. A multilevel computer simulation of friction and wear by numerical methods of discrete mechanics and a phenomenological theory. Phys. Mesomech. 2009, 12(1-2):11.
28. Smolin A.Yu., Dobrynin S.A., Psakhie S.G. The factors governing elastic wave generation in friction. Simulation on the basis of a discrete-continual approach. Izv. TPU 2009, 314(2):76. (in Russian).
29. Global Roadmap for Ceramics: Proc. 2nd Int. Congress on Ceramics (ICC2), Ed. by A. Belosi and G.N. Babini, Institute of Science and Technology for Ceramics, National Research Council, Verona (Italy) (2008) 833 p.
30. S.P. Buyakova, Properties, Structure, Phase Composition and Mechanisms of the Formation of Porous ZrO2-based Nanosystems, Doct. Degree Thesis (Engng), IFPM SO RAN, Tomsk, 2008 (in Russian).
31. S.N. Kulkov, S.P. Buyakova and V.I. Maslovskii, Structure, phase composition and mechanical properties of zirconia-based ceramics, Vestnik TGU, 13 (2003) 34.(in Russian).
32. L.M. Kachanov, The Foundations of Fracture Mechanics, Nauka, Moscow, 1974 (in Russian).
33. L.I. Sedov, A Course in Continuum Mechanics, Wolters-Noordhoff, Groningen, 1971.
34. Ig.S. Konovalenko, Theoretical Study of Deformation and Fracture of Porous Materials for Medicine and Biomechanical Structures, Cand. Degree Thesis (Phys&Math), IFPM SO RAN, Tomsk, 2007 (in Russian).
35. S.N. Kul'kov, V.I. Maslovskii, S.P. Buyakova and D.S. Nikitin, The non-Hooke's behavior of porous zirconia subjected to high-rate com-pressive deformation, Tech. Phys., 47, No. 3 (2002) 320.
36. J. Kovacik, Correlation between shear modulus and porosity in porous materials, J. Mater. Sci. Lett., 20 (2001) 1953.
37. M. Kleman and O.D. Lavrentovich, Soft Matter Physics - An Introduction, Springer, 2003.
38. Smolin A.Yu., Konovalenko Ig.S., Kul'kov S.N., Psakhie S.G. Quasi-viscous fracture of brittle media with stochastic pore distribution. Tech. Phys. Lett. 2006, 32(9):738.
39. Konovalenko Ig.S., Smolin A.Yu., Korostelev S.Yu., Psakhie S.G. Dependence of the macroscopic elastic properties of porous media on the parameters of a stochastic spatial pore distribution. Tech. Phys. 2009, 54(5):758.
40. S.A. Khristianovich and Yu.F. Kovalenko, Gas pressure measurements in coal beds, FTPRPI, No. 3 (1988) 3.(in Russian).
41. G. Ya. Polevschikov, Dynamic Gas Manifestation during Preparing and Overburden Works in Coal Mines, IUU SO RAN, Kemerovo, 2003 (in Russian).
42. G. Ya. Polevschikov and E.N. Kozyreva, Kinetic gas pattern of a developed rock massif, Gorn. Inform.-analit. Byullet, No. 11 (2002) 117.(in Russian).
43. A.D. Alekseev, T.A. Vasilenko, K.V. Gumennik et al. , Diffusion-filtration model of methane escape from a coal seam, Tech. Phys., 52, No. 4 (2007) 456.
44. S.A. Khristianovich, Fundamentals of filtration theory, FTPRPI, No. 5 (1989) 3.(in Russian).
45. A.A. Borisenko, Effect of gas pressure on stresses in coal strata, J. Min. Sci., 21, No. 1 (1985) 88.
46. A.D. Alekseev and V.V. Sinolitskii, Gas absorption theory in porous matter, Fiz. Tekh. Vysok. Davlen., No. 12 (1983) 103.(in Russian).
47. J. Pezdic, M. Markic, M. Letic et al. , Laboratory simulation of ad-sorption-desorption processes on different lignite lithotypes from the Velenje lignite mine, RMZ - Materials and Geoenvironment, 46/3 (1999) 555.
48. S.G. Psakhie, S. Zavshek, J. Jezershek et al., Computer-aided examination and forecast of strength properties of heterogeneous coal-beds, Comput. Mater. Sci., 19, No. 1-4 (2000) 69.