@Article{cmc.2010.020.001,
AUTHOR = {S. N.V.R.K.  Kurapati, Y. C.  Lu, F.  Yang},
TITLE = {Indentation Load-Displacement Relations for the Spherical Indentation of Elastic Film/Substrate Structures},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {20},
YEAR = {2010},
NUMBER = {1},
PAGES = {1--18},
URL = {http://www.techscience.com/cmc/v20n1/22588},
ISSN = {1546-2226},
ABSTRACT = {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.},
DOI = {10.3970/cmc.2010.020.001}
}