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arXiv 1007.4878cond-mat.mtrl-sci
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不连续再结晶过程中长程内应力对晶粒形核的作用

On the role of long range internal stresses on grain nucleation during discontinuous recrystallization

Paul Duval, Francois Louchet, Jerome Weiss, Maurine Montagnat

摘要:

长程弹性相互作用在再结晶中的重要作用是使用一个简单的分析模型证明:堆积重排后吸收领先的位错由无位错胚胎提供了一个额外的驱动力,导致成核临界半径和鞍点能量急剧下降。一个非常尖锐的过渡证明,在鞍点完全消失,成核成为自发的。这种转变发生在对应于几何上必要的位错的临界密度和临界应变两者的明确定义的临界应力下,而不调用任何临界核尺寸,所述临界核尺寸可以借助于一些位错微观结构不稳定性而达到。本模型在此以多晶冰为例进行说明,但也可应用于其他具有显著塑性各向异性的晶体材料,例如锆合金。

英文摘要:

The essential role of long range elastic interactions in recrystallization is demonstrated using a simple analytical model: pileup rearrangements following absorption of leading dislocations by a dislocation-free embryo provides an additional driving force that results in a drastic decrease of both the nucleation critical radius and the saddle point energy. A very sharp transition is evidenced, at which the saddle point totally disappears and nucleation becomes spontaneous. This transition occurs for a well defined critical stress corresponding to both a critical density of geometrically necessary dislocations and a critical strain, without invoking any critical nucleus size that may be reached with the help of some dislocation microstructure instability. The present model is illustrated here by the case of polycrystalline ice, but may apply to other crystalline material with significant plastic anisotropy, as Zircaloy for instance.

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