The theory of solution hardening

The theory of solution hardening
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DOI:
10.1080/14786437708235994
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发表时间:
1977-03
影响因子:
1.6
通讯作者:
F. Nabarro
F. Nabarro
中科院分区:
材料科学3区
文献类型:
--
作者:
F. Nabarro

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位错滑移面包含一个障碍物浓度c,我们把它看作是吸引势威尔斯阱,每个势阱由四个宽度为w的抛物线弧组成,施加一个最大吸引力fm。若位错的线张力为T,则位错运动的性质受参数β = fm/4 Tcw 2控制。当β较大时,运动发生在弗里德尔极限。与三个连续障碍物A、B、C相互作用的位错线的长度从B脱离并移动,直到其与第四障碍物D相互作用。在此过程中,AC段以外的位错线部分不会明显移动。如果位错的Burgers矢量为6,则在此极限下的临界分解剪应力τc由Bτc =(f m 3c/2 T)1/2给出。在Labusch极限中,β很小,我们发现,与Labusch一致,位错段通过阱的运动是绝热的和非耗散的。相干运动的位错段与基体接触。
Abstract The glide plane of a dislocation contains a concentration c of obstacles, which we take to be attractive potential wells each made of four parabolic arcs of width w, exerting a maximum attractive force fm. If the line tension of the dislocation is T, the nature of its motion is controlled by the parameter β = f m/4Tcw 2. When β is large the motion occurs in the Friedel limit. A length of dislocation line interacting with three consecutive obstacles A, B, C breaks away from B and moves until it interacts with a fourth obstacle D. The portions of dislocation line outside the segment AC do not move appreciably during this process. If the Burgers vector of the dislocation is 6, the critical resolved shear stress τc is given in this limit by bτc = (f m 3c/2T)1/2. In the Labusch limit, where β is small, we find, in agreement with Labusch, that the motion of a dislocation segment through a well is then adiabatic and non-dissipative. The segment of dislocation which moves coherently is in contact with ma...