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research-article

Periodic Contact Problems in Plane Elasticity - the Fracture Mechanics Approach

[+] Author and Article Information
Yang Xu

Mechanical Engineering Department, Auburn University, AL 36849, USA
yzx0007@tigermail.auburn.edu

Robert L. Jackson

Mechanical Engineering Department, Auburn University, AL 36849, USA
jacksr7@auburn.edu

1Corresponding author.

ASME doi:10.1115/1.4036920 History: Received March 28, 2017; Revised May 11, 2017

Abstract

In this study, the concept of the fracture mechanics is used to solve the (i) frictionless purely normal contact and (ii) the similar material contact under the mutual actions of the normal and tangential load. Consider the contact region is simply connected, the out-of-contact regions can be treated as periodic collinear cracks. Through evaluating the stress intensity factor(SIF), we are able to obtain the size and location of the contact/out-of-contact region. Then, the normal traction, shear traction and interfacial gap can be directly determined by the Green’s function of the periodic collinear crack. In the case of frictionless purely normal contact, the new approach is applied to two classic problems, namely, the Wester-gaard problem (sinusoidal waviness punch) and the periodic flat-end punch problem. Then, the sinusoidal waviness contact pair in the full stick and the partial slip conditions under the mutual actions of the normal and tangential loads are solved by the newly developed approach.

Copyright (c) 2017 by ASME
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