FINITE ELEMENT ANALYSIS OF NANOINDENTATION ON NANOLAMINATED MATERIALS

S. Özerinç
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Abstract

Nanoindentation is a widely used tool for probing the mechanical properties of materials at the nanoscale. The analysis of the load-displacement curve obtained from nanoindentation provides the hardness and elastic modulus of the material. While hardness is a useful parameter for comparing different alloys and understanding tribological behavior, yield strength is a more useful parameter for alloy design and application in general. The yield strength of a nanoindentation-tested material can be estimated by combining the hardness result with the Tabor factor. This approach is well-established for homogeneous and isotropic materials; however, the application of the approach to recently developed laminated nanocomposites requires a better understanding of the plasticity under nanoindentation. Due to the complicated stress state and the nonhomogeneous geometry of the nanolaminated structure, there is a need to employ numerical methods for this analysis. In this study, the mechanical behavior of a model system of nanolaminated Cu-Nb under nanoindentation was investigated, through modeling the test using finite element method. The force-controlled simulation provided the load-displacement curve that would be obtained from an actual experiment, and Oliver-Pharr method was employed to obtain the hardness of the nanocomposite. The results show that the rule-of-mixture is a good approximation for estimating the nanoindentation hardness of the composites, if the mechanical properties of the constituents are known.
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纳米层合材料纳米压痕的有限元分析
纳米压痕是一种在纳米尺度上广泛应用的探测材料力学性能的工具。通过分析纳米压痕得到的载荷-位移曲线,可以得到材料的硬度和弹性模量。硬度是比较不同合金和了解摩擦学行为的有用参数,而屈服强度是合金设计和应用中更有用的参数。将硬度结果与塔伯系数相结合,可以估计出纳米压痕测试材料的屈服强度。这种方法适用于均质和各向同性材料;然而,将该方法应用于新近开发的层合纳米复合材料需要更好地了解纳米压痕下的塑性。由于纳米层状结构具有复杂的应力状态和非均匀的几何结构,需要采用数值方法进行分析。在本研究中,通过采用有限元方法对纳米压痕下的Cu-Nb纳米层化模型系统进行了力学行为研究。力控模拟提供了实际实验得到的载荷-位移曲线,并采用Oliver-Pharr法得到了纳米复合材料的硬度。结果表明,在复合材料力学性能已知的情况下,混合规律是估计复合材料纳米压痕硬度的较好近似方法。
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