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IssuesArchive of Issues2015-4pp.400-411

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D.D. Moiseenko and V.E. Panin, "Physical Fracture Mesomechanics of Solids Treated as Nonlinear Hierarchically Organized Systems," Mech. Solids. 50 (4), 400-411 (2015)
Year 2015 Volume 50 Number 4 Pages 400-411
DOI 10.3103/S0025654415040068
Title Physical Fracture Mesomechanics of Solids Treated as Nonlinear Hierarchically Organized Systems
Author(s) D.D. Moiseenko (Institute of Strength Physics and Material Science, Siberian Branch of the Russian Academy of Sciences, Akademicheskii pr. 2/4, Tomsk, 634021 Russia, mdd@ispms.tsc.ru)
V.E. Panin (Institute of Strength Physics and Material Science, Siberian Branch of the Russian Academy of Sciences, Akademicheskii pr. 2/4, Tomsk, 634021 Russia, paninve@ispms.tsc.ru)
Abstract We show that one-level criteria for crack propagation in fracture mechanics should be supplemented by taking into account structure transformations in the local curvature regions of the crystal lattice in front of the crack tip. We develop a modified method of excitable cellular automata that takes into account the local torques in the crystal lattice with broken translational invariance and permits calculating the work of rotational deformation modes in crack propagation. Experimental data confirming the multilevel criteria of fracture mesomechanics are presented.
Keywords fracture criterion, hierarchical system, structure curvature, torque, nonlinearity
References
1.  A. Yu. Ishlinskii and D. D. Ivlev, The Mathematical Theory of Plasticity (Fizmatlit, Moscow, 2001) [in Russian].
2.  L. I. Sedov, Continuum Mechanics, Vol. 1 (Nauka, Moscow, 1994) [in Russian].
3.  Yu. N. Rabotnov, Mechanics of Deformable Solids (Nauka, Moscow, 1979) [in Russian].
4.  N. F. Morozov, Mathematical Problems of the Theory of Cracks (Nauka, Moscow, 1984) [in Russian].
5.  L. R. Botvina, Fracture. Kinetics, Mechanisms, General Laws (Nauka, Moscow, 2008) [in Russian].
6.  G. P. Cherepanov, Fracture Mechanics (Inst. Komp. Issled., Izhevsk, 2012) [in Russian].
7.  V. E. Panin, V. A. Likhachev, and Yu. V. Grinyaev, Structure Levels of Deformation of Solids (Nauka, Novosibirsk, 1985) [in Russian].
8.  V. E. Panin (Editor), Structural Levels of Plastic Deformation and Fracture (Nauka, Novosibirsk, 1990) [in Russian].
9.  V. E. Panin (Editor), Physical Mesomechanics of Heterogeneous Media and Computer-Aided Design of Materials (Cambridge Interscience Publ., Cambridge, 1998) [in Russian].
10.  V. E. Panin, "Overview on Mesomechanics of Plastic Deformation and Fracture of Solids," Theor. Appl. Fract. Mech. 30 (1), 1-11 (1998).
11.  V. E. Panin, "Fracture Mechanisms of a Solid as a Nonlinear Hierarchically Organized System," in Proc. Eur. Conf. Fracture 19, Kazan, Russia, 2012 (Kazan Sci. Center RAS, Kazan, 2012) (electronic resources).
12.  M. A. Guzev and A. A. Dmitriev, "Bifurcation Behavior of Potential Energy of a System of Particles," Fiz. Mezomekh. 16 (3), 25-31 (2013).
13.  V. E. Panin and V. E. Egorushkin, "Curvature Solitons as Generalized Structural Wave Carriers of Plastic Deformation and Fracture," Phys. Mesomech. 16 (4), 267-286 (2013).
14.  V. E. Panin, A. V. Panin, T. F. Elsukova, and Yu. F. Popkova, "Fundamental Role of the Crystal Structure Curvature in Plasticity and Strength of Solids," Fiz. Mezomekh. 17 (6), 7-18 (2014).
15.  M. P. Wnuk, M. Alavi, and A. Rouzbehani, "Comparison of Time Dependent Fracture in Viscoelastic and Ductile Solids," Phys. Mesomech. 15 (1-2), 13-25 (2012).
16.  V. E. Panin and V. E. Egorushkin, "Nanostructure States in Solids," Fiz. Metal. Metalloved. 5, 486-496 (2010).
17.  V. E. Egorushkin and V. E. Panin, "Physical Foundations of Nonlinear Fracture Mechanics," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 53-66 (2013) [Mech. Solids (Engl. Transl.) 48 (5), 525-536 (2013)].
18.  L. D. Landau and E. M. Lifshits, Theoretical Physics. Vol. 7: Theory of Elasticity (Nauka, Moscow, 1967) [in Russian].
19.  D. D. Moiseenko, Yu. I. Pochivalov, P. V. Maksimov, and V. E. Panin, "Rotational Deformation Modes in Near-Boundary Regions of Grain Structure in a Loaded Polycrystal," Phys. Mesomech. 16 (3), 248-258 (2013).
20.  J. Knott, Micromechanisms of Fracture and Crack Resistance of Structure Alloys, in Mechanics. New in Foreign Science, Ser. 17: Fracture Mechanics (Mir, Moscow, 1979) [Russian translation].
21.  V. S. Grebnev, V. A. Ermishkin, D. L. Krasavin, et al., "Influence of Structural Factors on Macro- and Micromechanisms of Fracture of Age-Hardening Alloys with Discontinuous Type of Decay," Prochn. Mat., No. 10. 23-28 (1992).
22.  V. E. Panin, T. F. Elsukova, and Yu. F. Popkova, "Physical Fundamentals of Mesomechanics of a Two-Layer Composite: Development of Fatigue Cracking," Dokl. Ross. Akad. Nauk 443 (1), 40-43 (2012) [Dokl. Phys. (Engl. Transl.) 57 (3), 100-103 (2012)].
23.  G. P. Cherepanov, "Invariant Integral of Physical Mesomechanics as the Foundation of Mathematical Physics: Several Applications to Problems of Cosmology, Electrodynamics, Mechanics, and Geophysics," Fiz. Mezomekh. 18 (1), 5-13 (2015).
24.  A. Carpinteri, O. Boria, G. Lacidogna, and A. Manuello, "Newton Emission in Brittle Rocks during Compression Tests:Monotonic vs Cyclic Loading," Phys. Mesomech. 13 (5), 39-54 (2010).
25.  K. Brighenti and A. Carpinteri, "Some Considerations on Failure and Liquids," The Problems of Strength, No. 2, 39-54 (2010).
26.  R. V. Goldstein, V. A. Gorodtsov, and D. S. Lisovenko, "Young Modulus and Poisson's Ratio for Seven-Constant Tetragonal Crystals and Nanotubes Produced of Them," Fiz. Mezomekh. 17 (5), 5-14 (2014).
27.  R. V. Goldstein, "Approaches to Prediction of Material Microstructure Formation near Friction Surfaces under Developed Plastic Deformations," Fiz. Mezomekh. 17 (5), 15-20 (2014).
28.  E. M. Morozov, I. A. Ovid'ko, and A. G. Sheinerman, "Effect of Cracks on Grain Boundary Migration in Nanocrystalline Ceramics and Metals," Dokl. Ross. Akad. Nauk 419 (2), 184-188 (2008) [Dokl. Phys. (Engl. Transl.) 53 (3), 144-147 (2008)].
29.  Yu. V. Petrov, V. A. Bratov, and A. A. Gruzdkov, "Structural-Temporal Theory of Fracture as a Multiscale Process," Phys. Mesomech. 15 (3-4), 232-237 (2012).
30.  E. M. Morozov and R. V. Goldstein, "Fundamental Problems of Solid Mechanics in High Technologies," Phys. Mesomech. 16 (3-4), 24-231 (2012).
31.  R. V. Goldstein and N. F. Morozov, "Mechanics of Deformation and Fracture of Nanomaterials and Nanotechnology," Phys. Mesomech. 10 (5-6), 235-246 (2007).
32.  R. V. Goldstein (Editor) Actual Problems of Mechanics. Mechanics of Deformable Solids. Collection of Papers, (Nauka, Moscow, 2009) [in Russian].
33.  A. M. Krivtsov and O. S. Loboda, "Description of Elastic Properties of Two-Atomic Crystals of Diamond and Sphalerite Structure using the Moment Interaction," Fiz. Mezomekh. 16 (2), 23-29 (2012).
34.  V. I. Betekhtin, A. G. Kadomtsev, M. V. Narykov, O. B. Neimark, and O. A. Plekhov, "Static Description of Microcrack Accumulation Kinetics in Creep in Metals," Fiz. Mezomekh. 18 (1), 52-61 (2015).
35.  M. M. Davydova, S. V. Uvarov, and O. B. Neimark, "Space-Time Scale Invariance in Dynamic Fragmentation," Fiz. Mezomekh. 18 (1), 100-107 (2015).
36.  G. C. Sih, "Multiscale and Multiorder Singularity Approach to Nonequilibrium Mechanics: Coupling of Atomic-Micro-Macro Damage," Adv. Mech. 6, 232-250 (2010).
37.  G. I. Barenblatt, "Scaling Phenomena in Fatigue and Fracture," Int. J. Fract. 138 (1-4), 19-35 (2006).
Received 14 April 2015
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