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Identifiability of single crystal plasticity parameters from residual topographies in Berkovich nanoindentation on FCC nickel
Journal of the Mechanics and Physics of Solids ( IF 5.3 ) Pub Date : 2020-03-03 , DOI: 10.1016/j.jmps.2020.103916
E. Renner , A. Bourceret , Y. Gaillard , F. Amiot , P. Delobelle , F. Richard

The information richness of imprints topographies obtained after Berkovich nanoindentation tests at grain scale is assessed for identifying all or part of the parameters of a single crystal plasticity law. In a previous paper (Renner et al., 2016), the strong potential of imprints topographies has been shown through a large experimental campaign conducted on nickel samples. A 3D crystal plasticity finite element modelling (CPFEM) of the nanoindentation experiment using the Méric-Cailletaud has also showed a large sensitivity of residual topographies to the indenter/grain orientation and to the plastic parameters, including the interaction matrix coefficients specifying the interactions between dislocations on different slip systems. This makes imprints topographies very good candidates to provide information for the single crystal parameters identification. The present paper focuses on the Méric-Cailletaud law parameters identifiability using residual topographies. A method is built to define the best well-posed inverse problem to ensure the parameters identification using a crystal plasticity finite element modelling updating (CPFEMU) method. An identifiability index proposed by Richard et al. (Richard et al., 2013) for measuring the information richness of the indentation curve is extended to the analysis of residual topographies. This index quantifies the possibility to achieve a stable/unstable solution using an inverse method. For the studied behaviour, the results show that eight of the nine Méric-Cailletaud law parameters can be identified using three topographies.



中文翻译:

FCC镍上Berkovich纳米压痕中残余形貌的单晶塑性参数的可识别性

经过Berkovich纳米压痕测试后在晶粒度上获得的印记形貌的信息丰富程度,可用于鉴定单晶可塑性定律的全部或部分参数。在之前的一篇论文中(Renner等人,2016),通过对镍样品进行的大型实验活动显示了印记形貌的强大潜力。使用Méric-Cailletaud进行的纳米压痕实验的3D晶体可塑性有限元建模(CPFEM)也显示出残余形貌对压头/晶粒取向以及塑性参数的敏感性很高,包括指定位错之间相互作用的相互作用矩阵系数在不同的滑移系统上。这使得压印形貌非常适合为单晶参数识别提供信息。本文着重于利用残余地形的梅里克-凯勒多法则参数参数可识别性。建立了一种方法来定义最佳的适定反问题,以确保使用晶体可塑性有限元建模更新(CPFEMU)方法进行参数识别。理查德等人提出的可识别性指数。(Richard等,2013)用于测量压痕曲线的信息丰富度,扩展到了残余形貌的分析。该指数量化了使用逆方法获得稳定/不稳定解决方案的可能性。对于所研究的行为,结果表明可以使用三个地形来识别九个Méric-Cailletaud定律参数中的八个。

更新日期:2020-03-03
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