Research Papers

Time-Decaying Uniform Stresses Inside an Anisotropic Elliptical Inhomogeneity With Nonuniform Interfacial Slip

[+] Author and Article Information
Xu Wang

School of Mechanical Engineering, Zhengzhou University, Zhengzhou, Henan 450001, P. R. China; Center for Composite Materials, University of Delaware, Newark, DE 19716

J. Appl. Mech 77(4), 041019 (Apr 19, 2010) (4 pages) doi:10.1115/1.4000932 History: Received September 21, 2009; Revised November 16, 2009; Published April 19, 2010; Online April 19, 2010

This study addresses the problem of an elastically anisotropic elliptical inhomogeneity bonded to an infinite elastically anisotropic matrix through a linear viscous interface. Our results show that uniform, as well as time-decaying stresses, still exist inside the elliptical inhomogeneity when the interface drag parameter, which is varied along the interface, is properly designed, and when the matrix is subjected to remote uniform antiplane shearing. Interestingly, the internal stresses decay with not one but two relaxation times. Some special cases are discussed in detail to demonstrate the obtained solutions.

Copyright © 2010 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

An anisotropic elliptical inhomogeneity weakened by an internal crack. The geometry of the inhomogeneity is a/b=2 and p1=1+0.5i, and the two tips of the crack are located at [x1,x2]=±b[1.735,0.4563].



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