Papers by Keyword: Frictionless Contact

Abstract: In this paper, a frictionless contact of a rigid flat-ended indentor on a linear elastic half plane is investigated by taking the influence of surface and couple stresses into account. The surface elasticity and couple stress theories are utilized to form a mathematical model. The Green’s function method together with the equilibrium condition of the indentor is employed to formulate the key equations governing the contact pressure. A collocation technique and a set of available fundamental solutions of a half plane under the surface loading are adopted to determine the unknown contact pressure. Results from a numerical study reveal that the presence of both surface and couple stresses significantly alters the distribution of the contact pressure from that predicted by the classical linear elasticity, and the size-dependent characteristics of predicted solutions are obviously observed when the contact width is comparable to the internal length scales of the surface and bulk materials.

Abstract: Certain results have been presented in this work on damped non-linear vibration of a delaminated composite beam. In order to investigate this problem the finite element method has been applied while for beam modelling higher order shear deformation beam finite elements have been used. The vibration of the beam has been investigated in the time domain and next the time series obtained from solving the non-linear equation of motion have been analysed in the frequency domain by using FFT. The vibration responses of the beam due to various harmonic excitations, at different delamination locations, and for different delamination lengths, together with changes in the dissipation of damping energy due to the delamination, have all been considered in the work.