2013
DOI: 10.1134/s1029959913040073
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Role of local curvature in grain boundary sliding in a deformed polycrystal

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Cited by 20 publications
(25 citation statements)
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“…Nevertheless, it was shown that the Stochastic Excitable Cellular Automata SECA method does not contradict the linear theory of elasticity and, moreover, the fundamental transfer equation (modified Turnbull equation) in the limiting case coincides with the classical Hooke's law [3]. The method also includes an explicit account of porosity and nanocrystalline structure of the material, and algorithms for calculating the local moments of forces and angular velocities of microrotations occurring in a structurally heterogeneous medium.…”
Section: Theoretical Proceduresmentioning
confidence: 99%
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“…Nevertheless, it was shown that the Stochastic Excitable Cellular Automata SECA method does not contradict the linear theory of elasticity and, moreover, the fundamental transfer equation (modified Turnbull equation) in the limiting case coincides with the classical Hooke's law [3]. The method also includes an explicit account of porosity and nanocrystalline structure of the material, and algorithms for calculating the local moments of forces and angular velocities of microrotations occurring in a structurally heterogeneous medium.…”
Section: Theoretical Proceduresmentioning
confidence: 99%
“…This theory has been successfully expanded within the physical mesomechanics framework [1,3,12]. The material within the multilevel approach of physical mesomechanics is considered as a set of structural elements in a 3D-crystalline and 2D-planar subsystems along which rotational wave flows of mass and energy transfer occur.…”
Section: Theoretical Proceduresmentioning
confidence: 99%
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“…As a simulation tool suitable to the purpose of this work, the method of excitable cellular automata (ECA) has been recently developed and validated by the authors [14][15][16]. It should be noticed that the proposed simulation approach is aimed primarily at studying the mesoscale mechanisms of local stress evolution during high-rate deformation processes such as fast crack growth under shock loading.…”
Section: Simulationmentioning
confidence: 99%
“…However, multiscale consideration of loaded solids might be performed within the physical mesomechanics approach applied to materials where structural levels of deformation and fracture are related to each other through the hierarchy of scales. In this approach, understanding of the significance of rotational modes of deformation appeared to be of crucial importance [3,[12][13][14][15][16][17][18][19][20][21].…”
Section: Introductionmentioning
confidence: 99%