期刊
PHYSICAL MESOMECHANICS
卷 17, 期 1, 页码 1-14出版社
SPRINGER
DOI: 10.1134/S1029959914010019
关键词
polycrystals; multiscale model; engineering of grain boundaries; Hall-Petch equation
资金
- Russian Foundation for Basic Research [11-01-00646]
- Siberian Branch of the Russian Academy of Sciences [111.23.1.1, 111.23.1.72]
- Presidium of the Russian Academy of Sciences [2.2, 8.20, 25.3]
- Siberian Branch Far Eastern Branch of the Russian Academy of Sciences [78]
- President of the Russian Federation for support of leading scientific schools [NSh-6116.2012.1]
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 sigma=sigma(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 sigma=sigma(0)+kd(-1). Experimental data in support of the proposed multiscale model are presented.
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