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Interfaces within strain gradient plasticity: Theory and experiments

机译:应变梯度可塑性内的界面:理论与实验

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摘要

In this paper, it is shown'that the occurrence of dislocation pileups across grain boundaries, as well as subsequent emission to the adjacent grains, is captured theoretically by gradient plasticity and confirmed experimentally by nanoindentation. From a theoretical point of view, this is accomplished (within a deformation theory framework applicable to continued loading) by accounting for a specific interfacial term in the overall potential of the material, in terms of which its response, taken to conform to strain gradient plasticity, is defined. The main features that result from the addition of this interfacial term are (i) significant size effects of Hall-Petch type in the overall stress-strain response of polycrystals and (ii) the determination of an analytical expression for the stress corresponding to the onset of dislocation transfer across interfaces. From an experimental point of view, the effective stress at which dislocation transfer takes place across an interface can be obtained from nanoindentations performed in close proximity to an Fe-2.2 wt.% Si grain boundary, since they exhibit a distinct str.in burst that is related to the presence of the boundary. It is possible, therefore, to fit the theoretically determined analytical expression for the interfacial yield stress to the experimental data. From this fit, first estimates are obtained for key material parameters, namely the interfacial term and the internal length, that are required for the theoretical formulation. Dislocation mechanics are employed to provide physical insight of these parameters. (c) 2006 Acta Materialia Inc. published by Elsevier Ltd. All rights reserved.
机译:在本文中,表明“在晶粒边界上位错堆积的发生以及随后向相邻晶粒的发射,在理论上是通过梯度可塑性捕获的,并通过纳米压痕得到了实验证实。从理论的角度来看,这是通过在材料整体势能中考虑一个特定的界面项(在该理论框架内适用于持续加载)来实现的,据此,其响应被认为符合应变梯度可塑性, 被定义为。由于添加了这个界面术语而导致的主要特征是:(i)Hall-Petch型在多晶的整体应力-应变响应中的显着尺寸效应;以及(ii)确定对应于起始应力的解析表达式接口之间的位错传输。从实验的角度来看,可以通过非常接近Fe-2.2 wt。%Si晶界的纳米压痕获得在界面上发生位错转移的有效应力,因为它们表现出了明显的爆发力。与边界的存在有关。因此,有可能使理论上确定的界面屈服应力的分析表达式适合实验数据。从这种拟合中,可以得出理论公式所需的关键材料参数的第一估计值,即界面项和内部长度。使用位错力学来提供这些参数的物理见解。 (c)Elsevier Ltd.出版的2006 Acta Materialia Inc.。保留所有权利。

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