<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This work makes use of singular integral equations method to solve plane contact problem for a half-space containing cracks. This method is based on complex variables. Relationships are presented which help find the contact pressure under the punch and the value of stress intensity factors at the crack tips. A detailed solution is presented for the problem of a punch pressed to the surface of a half-space weakened by a single straight crack. It includes both a situation where the punch has a flat and parabolic base. The influence of friction and the position of the crack on the distribution of the values of stress intensity factors i in the functions of crack length and distance from the contact zone was analyzed in detail.</p></abstract>

This work makes use of singular integral equations method to solve plane contact problem for a half-space containing cracks. This method is based on complex variables. Relationships are presented which help find the contact pressure under the punch and the value of stress intensity factors at the crack tips. A detailed solution is presented for the problem of a punch pressed to the surface of a half-space weakened by a single straight crack. It includes both a situation where the punch has a flat and parabolic base. The influence of friction and the position of the crack on the distribution of the values of stress intensity factors i in the functions of crack length and distance from the contact zone was analyzed in detail.

Friction Effect in a Plane Problem of Punch Acting on A Half-Space Weakened by Cracks

Biatystok University of Technology, Faculty of Mechanical Engineering, ul. Wiejska 45C, 15-351 Biatystok, Poland

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This work makes use of singular integral equations method to solve plane contact problem for a half-space containing cracks. This method is based on complex...

Friction Effect in a Plane Problem of Punch Acting on A Half-Space Weakened by Cracks

Article Category: research article

Published Online: Aug 15, 2014

Page range: 107 - 114

DOI: https://doi.org/10.2478/ama-2014-0020

© 2014 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.