4.2 Article

Physical fracture mesomechanics of solids treated as nonlinear hierarchically organized systems

Journal

MECHANICS OF SOLIDS
Volume 50, Issue 4, Pages 400-411

Publisher

ALLERTON PRESS INC
DOI: 10.3103/S0025654415040068

Keywords

fracture criterion; hierarchical system; structure curvature; torque; nonlinearity

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Funding

  1. state contract of the Federal State Budget Organization Russian Academy of Sciences by Russian Foundation for Basic Research [14-01-00789]
  2. Russian Federation [NSh-28172014-1]

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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.

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