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Digital image correlation and finite element analysis of inter- and intra-granular deformation

机译:晶间和晶内变形的数字图像关联和有限元分析

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摘要

Deformation in individual grains within a polycrystal depends on their orientation with respect to the direction of external loading (e.g. uniaxial tension), and also on mis-orientation with respect to neighbouring grains. Thus, strain inhomogeneity at the grain level is strongly dependent on the local microstructure, and not simply of the grain's own orientation, as implied in self- consistent modelling schemes [1,3]. Digital image correlation (DIC) is an excellent tool for probing deformation behaviour at different resolutions, since it is independent of the precise physical length scale, and can be applied to any digital image, e.g. obtained from optical or scanning electron microscopy, or AFM. In this study large-grained polycrystalline samples of commercial purity nickel were used. The surface of a dogbone specimen was etched prior to the experiment to create a pattern suitable for DIC interpretation. A custom-made loading stage for small samples was placed in the Alicona InfiniteFocus microscope, and uniaxial tensile force was applied to cause the specimen to elongate. Small steps for crosshead displacement between 7 μm and 34 μm were used to generate elastic deformation, followed by plastic stretching. At every loading step an image was taken with the digital camera attached to the microscope, up to the total strain within the specimen of 35%. The Alicona InfiniteFocus instrument could be used for two purposes: (i) to obtain high resolution images (1624x1232 pixels) of the sample surface during deformation, so that in-plane displacement and strain fields could be extracted; and (ii) to collect the data about surface profile evolution (roughening) caused by plastic slip during deformation. Digital image correlation analysis was carried out using LaVision DaVis software. Results show significant inter-granular and intra-granular strain inhomogeneity. When a plot of strain along a line crossing a particular grain is considered, areas of high and low strain can be readily identified that persist at different strain levels throughout the deformation history. As discussed by Zhang and Tong [4], this indicates the stability of the mechanisms responsible for the slip activity. The presence of neighbouring grains orientated so as to resist plastic deformation by crystal slip (i.e. possessing high Schmid factors) causes a softer adjacent grain to undergo more severe deformation. These observations were borne out by crystal plasticity finite element simulations.
机译:多晶内单个晶粒的变形取决于它们相对于外部载荷方向的取向(例如单轴张力),还取决于相对于相邻晶粒的取向不正确。因此,在晶粒水平的应变不均匀性强烈地依赖于局部的微观结构,而不是简单地依赖于晶粒自身的取向,正如在自洽模型中所暗示的[1,3]。数字图像相关性(DIC)是一种以不同分辨率探测变形行为的出色工具,因为它不依赖于精确的物理长度尺度,并且可以应用于任何数字图像,例如从光学或扫描电子显微镜或AFM获得。在这项研究中,使用了商业纯度镍的大晶粒多晶样品。在实验之前,先对狗骨标本的表面进行蚀刻,以形成适合DIC解释的图案。在Alicona InfiniteFocus显微镜中放置了一个用于小样品的定制加载台,并施加了单轴拉力以使样品伸长。十字头位移在7μm和34μm之间的小步骤用于产生弹性变形,然后进行塑性拉伸。在每个加载步骤中,都使用连接到显微镜的数码相机拍摄图像,直到样品中的总应变达到35%。 Alicona InfiniteFocus仪器可用于两个目的:(i)在变形过程中获得样品表面的高分辨率图像(1624x1232像素),以便提取面内位移和应变场; (ii)收集有关变形过程中由塑性滑移引起的表面轮廓演变(粗化)的数据。使用LaVision DaVis软件进行了数字图像相关性分析。结果显示出明显的颗粒间和颗粒内应变不均匀性。当考虑沿穿过特定晶粒的线的应变图时,可以容易地识别出高应变和低应变的区域,这些区域在整个变形历史中都以不同的应变水平持续存在。正如Zhang和Tong [4]所讨论的,这表明了滑移活动的机制是稳定的。取向的相邻晶粒的存在以抵抗由晶体滑移引起的塑性变形(即,具有高施密德因子),导致较软的相邻晶粒经受更严重的变形。这些观察结果通过晶体可塑性有限元模拟得到证实。

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