Multiscale model of deformed polycrystals. Hall-Petch problem
Source abstract
Abstract
The paper puts forward a multiscale model of deformed polycrystals according to which the basis for self-consistent deformation of grains is rotational wave flows of planar structural transformations at their boundaries. Computer-aided engineering of grain boundaries reveals two types of rotational wave flows defined by the misorientation angle of adjacent grains. Grain boundary flows of the first type develop at low-angle boundaries and feature low curvature. These flows generate dislocations in the grain bulk and the Hall-Petch equation for them has the form σ=σ 0 + kd −1/2 . Grain boundary flows of the second type develop at high-angle boundaries and feature high curvature. These flows generate curvature bands in near-boundary zones and inject them into the grain bulk, resulting in fragmentation of grains and breakdown of translation invariance. For such self-consistency of grains in a polycrystal, the Hall-Petch equation has the form σ=σ 0 + kd −1 . Experimental data in support of the proposed multiscale model are presented.
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Research context
OpenAlex topics: Microstructure and mechanical properties · Material Properties and Failure Mechanisms · Geotechnical and Geomechanical Engineering
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References (27)
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