TY  - EJOU
AU  - Kurapati, S. N.V.R.K.  
AU  - Lu, Y. C.  
AU  - Yang, F.  

TI  - Indentation Load-Displacement Relations for the Spherical Indentation of Elastic Film/Substrate Structures
T2  - Computers, Materials \& Continua

PY  - 2010
VL  - 20
IS  - 1
SN  - 1546-2226

AB  - 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.
KW  - Nanoindentation
KW  -  thin film
KW  -  finite element method

DO  - 10.3970/cmc.2010.020.001