Modeling the influence of roughness on nanoindentation data using finite element analysis

•Finite Element modeling was used to study nanoindentation on a realistic rough surface.•A finer grid is required for reasonable estimates of modulus maps than of the mean.•Comparison of FEM, experiment and a simplified Hertzian model shows similar trends. Nanoindentation is a popular tool for the s...

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Bibliographic Details
Published in:International journal of mechanical sciences 2019-10, Vol.161-162, p.105015, Article 105015
Main Authors: Charvátová Campbell, Anna, Buršíková, Vilma, Martinek, Jan, Klapetek, Petr
Format: Article
Language:English
Subjects:
Finite element method
Nanoindentation
Roughness
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Summary:•Finite Element modeling was used to study nanoindentation on a realistic rough surface.•A finer grid is required for reasonable estimates of modulus maps than of the mean.•Comparison of FEM, experiment and a simplified Hertzian model shows similar trends. Nanoindentation is a popular tool for the study of hardness and elasticity of materials at the nanoscale. However, the roughness of such samples may violate the basic assumptions under which these parameters can be evaluated. In this article we study the effects of roughness on the reduced modulus of contact. A systematic study using 3D FEA modeling to map the apparent modulus on a real rough surface as measured by AFM is presented. The requirements for the assessment of 2D modulus maps are compared to the requirements for the assessment of the average value and found to be much higher, approx. by a factor of ten. The possibility to use a simplified Hertzian model based on the local curvature is explored and found to give acceptable results, at least from a qualitative point of view.
ISSN:0020-7403
1879-2162
DOI:10.1016/j.ijmecsci.2019.105015