Stress Analysis of Layered Elastic Solids With Cracks Using the Fast Fourier Transform and Conjugate Gradient Techniques

[+] Author and Article Information
I. A. Polonsky, L. M. Keer

Department of Civil Engineering, Northwestern University, Evanston, IL 60208-3109

J. Appl. Mech 68(5), 708-714 (Mar 13, 2001) (7 pages) doi:10.1115/1.1381394 History: Received August 21, 2000; Revised March 13, 2001
Copyright © 2001 by ASME
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Layered solid containing contact-induced cracks (shown as thick black lines). Counterpart roughness is exaggerated. The y-direction is normal to the picture plane.
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Discretization of the cracked layer. Grid nodes are shown as circles. Nodes carrying eigenstrain are filled.
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Crack-opening displacement distribution along a crack radius for a penny-shaped crack: numerical solution (diamonds) and analytical solution (solid line)
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Multiple cracks in a thin coating: (x,z) view (a) and (y,z) view (b)
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Distribution of the normal stress σxx in the main crack plane for tensile loading; single crack case (a) and multiple crack cases (b)
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Distribution of the shear stress σxz in the main crack plane for contact loading: single crack case (a) and multiple crack case (b)




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