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Indentation Load-Displacement Relations for the Spherical Indentation of Elastic Film/Substrate Structures

S. N.V.R.K. Kurapati1, Y. C. Lu1, F. Yang2

Dept of Mechanical Engineering, University of Kentucky, Lexington, KY, U.S.A
Dept of Chemical and Materials Engineering, University of Kentucky, Lexington, KY, U.S.A

Computers, Materials & Continua 2010, 20(1), 1-18.


The spherical indentation of elastic film /substrate structures is analyzed using the finite element method. The load-displacement curves of the film /substrate structures of various configurations are obtained and analyzed. A generalized power law relation is established, which can be used to analyze the load-displacement curve of elastic film /substrate systems under spherical indentations. The indentation load is dependent on the modulus ratio of the film to the substrate and film thickness. A semi-analytical expression for the power of the power law relation is also obtained as a function of the normalized film thickness and normalized film modulus, which can be used to determine the modulus of the film from a spherical indentation test.


Cite This Article

S. N. . Kurapati, Y. C. . Lu and F. . Yang, "Indentation load-displacement relations for the spherical indentation of elastic film/substrate structures," Computers, Materials & Continua, vol. 20, no.1, pp. 1–18, 2010.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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