Fracture of Brittle Microbeams

[+] Author and Article Information
M. Ostoja-Starzewski

Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, PQ H3A 2K6, Canadae-mail: martin.ostoja@mcgill.ca Fellow ASME

J. Appl. Mech 71(3), 424-427 (Jun 22, 2004) (4 pages) doi:10.1115/1.1651091 History: Received December 16, 2002; Revised August 01, 2003; Online June 22, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
Fracture of a microbeam of thickness L off a substrate. A statistical volume element (SVE) imposed by the random microheterogeneous structure characterized by scale d is shown.
Grahic Jump Location
Potential energy Π(〈1/E〉) (thick line) and its scatter shown by a parabolic wedge (thin lines), summed with the surface energy 〈Γ〉=2a〈γ〉 (thick line) and its scatter shown by a straight wedge (thin lines), results in Π(〈1/E〉)+〈Γ〉 (thick line) and having scatter shown by a wider parabolic wedge (thin lines). Dashed region indicates the range of a critical crack length ac(E(ω)), a random variable.



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