On Fractal Cracks in Micropolar Elastic Solids

[+] Author and Article Information
A. Yavari, S. Sarkani, E. T. Moyer

School of Engineering and Applied Science, The George Washington University, Washington, DC 20052

J. Appl. Mech 69(1), 45-54 (Jan 16, 2001) (10 pages) doi:10.1115/1.1409258 History: Received May 05, 2000; Revised January 16, 2001
Copyright © 2002 by ASME
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Mechanism of crack propagation in a micropolar continuum: (a) crack-tip particles withstand rotation and separation, (b) the first step in crack propagation—crack-tip particles rotate with respect to each other, and (c) the second step in crack propagation—crack-tip particles move apart and neighboring particles become the next crack-tip particles
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A crack in a micropolar solid and its propagation path. The particles shown are the particles on the subsequent free surfaces.
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(a) A two-dimensional micropolar solid with a finite fractal crack perpendicular to the applied stresses, (b) an infinite micropolar solid with a finite fractal crack parallel to the applied stresses
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The four modes of fractal fracture: mode I (opening mode), mode II (shearing mode), mode III (tearing mode), and mode IV (axial mode)




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