Abstract
This study reports a three-dimensional (3D) size-dependent contact model of a thin elastic film indented by an elastic sphere, based on a linear couple stress-based semi-analytical method (SAM), where the thin film is perfectly bonded to a rigid substrate. The couple stress-based frequency response functions (FRFs) of the film are analytically derived, and the corresponding continuous and discrete influence coefficients (ICs) are subsequently obtained. The contact pressure is numerically determined based on the conjugate gradient method (CGM), while the elastic displacements and stresses of the thin film and indenter are calculated by means of the discrete convolution-fast Fourier transform (DC-FFT) algorithm. The combined effects of the characteristic material length and film thickness on contact behaviors are investigated for selected material elastic coefficients.
Published Version
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