结斜对多晶塑性流变应力影响的研究

Yu. V. Svirina, S. Kirikov, V. Perevezentsev
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摘要

多晶固体的塑性变形伴随着晶界边缘和晶粒三结处的线性旋转型介观缺陷的出现,如起始诱导的结位错。结位错会产生长时间的空间非均匀弹性应力场,对材料的结构形成、应变硬化和断裂有重要影响。在本工作中,比较分析了不同符号和强度的结斜对多晶塑性流动应力的贡献。计算结果表明,当一堆晶格位错通过弹性位错场时,观察到一般的规律。无论是否有偏斜迹象,它对塑性剪切都有延缓作用。计算了弹性场作用下位错桩的线密度和Burgers矢量密度的平衡分布。结果表明,位错的最大数量不是集中在堆积的头部,而是集中在堆的中心部分,而传统的位错堆是在难以穿透的障碍物附近堆积的。根据斜度的强度和斜度标志、堆积物中的位错数目、斜度与点阵位错滑移面之间的距离,计算了堆积物头部位错通过斜度力障时临界应力的依赖关系。结果表明,斜向符号的变化对位错沿桩体长度的平衡分布形式有显著影响,但实际上并不影响临界剪应力的值。结果表明:在位错数目一定的情况下,堆体的临界剪应力随滑移面与斜向的距离增大而增大;因此,当塑性变形局部化时,结斜弹性场的强化效果最大的不是在边界附近,而是在远离边界的地方。
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INVESTIGATION OF THE INFLUENCE OF JUNCTION DISCLINATIONS ON PLASTIC FLOW STRESS OF POLYCRYSTALS
Plastic deformation of polycrystalline solids is accompanied by the appearance of linear rotational-type mesodefects at grain boundary ledges and triple junction of grains, such as starin induced junction disclinations. Junction disclinations generate long-range spatially inhomogeneous fields of elastic stresses, which significantly influence on the structure formation, strain hardening and fracture of materials. In present work a comparative analysis of the contributions of junction disclinations of different sign and strength to the plastic flow stress of a polycrystal is performed. The results of calculationsshow, that when a pile-up of lattice dislocations passes through the elastic field of disclinations, general regularities are observed.Regardless of the sign of disclination, it has a retarding effect on the plastic shear. The equilibrium distributions of the linear density and the density of the Burgers vector of dislocations pile-upretarded by the elastic field of disclination are calculated.It is shown that the largest number of dislocations is concentrated not in the pile-up head, as in classical dislocation pile-upsstoped near impenetrable barriers, but in its central part. The dependences of the critical stress of the passage of the head dislocation of the pile-up through the force barrier of disclination are calculated depending on the strength and sign of disclination, the number of dislocations in the pile-up, and the distance between the disclination and the slip plane of lattice dislocations.It is shown that the change in the sign of disclination significantly influences on the form of the equilibrium distribution of dislocations along the length of the pile-up, but practically does not affect the value of the critical shear stress. It is shown that for a fixed number of dislocations in the pile-up, the critical shear stress increases with the distance between the slip plane and disclination. Thus, when plastic deformation is localized, the greatest strengthening effect from the elastic field of junction disclination is achieved not near the boundary, but far from it.
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