On the fully coupled partial slip contact problems of orthotropic materials loaded by flat and cylindrical indenters

Abstract

Fully coupled partial slip contact problems for orthotropic materials are considered in this paper. The problem is formulated by virtue of the Fourier transform method. The governing singular integral equations are solved numerically for both flat and cylindrical stamps under the plane strain conditions. An extensive parametric study is carried out to investigate the effect of material orthotropy parameter as well as the coefficient of friction on the contact stresses and the stress intensity factors. It is found that the coefficient of friction and the orthotropic material parameters have a great effect on the stress intensity and the in-plane contact stresses as well as stick and slip zones. Especially, the shearing ratio parameter has a pronounced effect on the stress distribution of cylindrical punches which is important from the crack initiation and fretting wear point of view. The results obtained from this study can be used as benchmark results in the design of contacting parts with orthotropic material properties.