A Surface crack in an orthotropic medium subjected to sliding contact by a rigid stamp/

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Thesis Type: Doctorate

Institution Of The Thesis: Middle East Technical University, Faculty of Engineering, Department of Mechanical Engineering, Turkey

Approval Date: 2014

Thesis Language: English

Student: Duygu Sarıkaya

Supervisor: SERKAN DAĞ

Abstract:

This study is concerned with the surface crack problem in an elastic orthotropic half-plane subjected to sliding contact by a rigid stamp of an arbitrary profile. In this study the effect of sliding contact on the mixed-mode stress intensity factors and contact stresses is investigated. Within the scope of the research, surface crack problem for orthotropic materials is examined. The well-known equations of elasticity for an orthotropic semi-infinite medium are used to formulate the fracture and contact problems in coupled form. The coupled elasticity problem is solved by means of a direct approach. Integral transforms are utilized to satisfy the governing equations of the problem and boundary conditions exactly. The coupled problem is reduced to a system of three singular integral equations. By adopting a collocation approach, the equations are solved numerically to determine the stress intensity factors and contact stresses. The main results of the analyses are the effect of the material properties and friction coefficient on the mixed mode stress intensity factors at the crack tip, contact stresses and required contact force.