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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
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Received 14 April 2015
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