Theoretical and experimental estimates of the Peierls stress
Theoretical and experimental estimates of the Peierls stress
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DOI：
10.1080/01418619708207197
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发表时间：
1997-03
影响因子：
1.6
通讯作者：
F. Nabarro
中科院分区：
文献类型：
--
作者：
F. Nabarro
摘要 Peierls 应力是使位错移动穿过完美晶格所需的应力。理论估计显示滑翔面之间的间距与单位滑移距离之比呈指数依赖性。纳巴罗纠正了佩尔斯最初估计中该指数的 2 倍误差。亨廷顿的修正估计引入了另一个因子 2。可以使用三个实验估计，从 Bordoni 峰（与亨廷顿理论一致）、低温流动应力（与 P—N（Peiiers-Nabarro）理论一致）和 Harper-Dorn 蠕变速率（与 P—N 理论一致）。由于亨廷顿理论显然比 P—N 理论更有依据，因此两个实验结果与 P—N 的一致性是出人意料的。 Schoeck 最近的研究结果解决了这一差异。
Abstract The Peierls stress is the stress required to move a dislocation through a perfect crystal lattice. Theoretical estimates show an exponential dependence on the ratio of the spacing between gliding planes and the unit slip distance. Nabarro corrected an error of a factor of 2 in this exponent in Peierls's original estimate. A revised estimate by Huntington introduced a further factor of 2. Three experimental estimates are available, from the Bordoni peaks (which agrees with the Huntington theory), from the flow stress at low temperatures (which agrees with the P—N (Peierls—Nabarro) theory) and from the rate of Harper—Dorn creep (which agrees with the P—N theory). Since the Huntington theory is clearly better founded than that of P—N, the agreement of two experimental results with P—N is unexpected. The discrepancy is resolved by using a recent result by Schoeck.