Stress Singularity at the Free Surface of a Dynamically Growing Crack

[+] Author and Article Information
Peter Gudmundson, Sören Östlund

Department of Strength of Materials and Solid Mechanics, The Royal Institute of Technology, S-100 44 Stockholm, Sweden

J. Appl. Mech 57(1), 112-116 (Mar 01, 1990) (5 pages) doi:10.1115/1.2888290 History: Accepted April 26, 1988; Received April 26, 1988; Online March 31, 2008


The stress singularity at the intersection between the crack front and the free surface of a dynamically growing crack in a linear elastic isotropic material has been numerically evaluated by an especially developed finite element program. The singularity parameter (λ), defined by σ ~ R λ−1 , is presented as a function of the crack-tip velocity and the angle (β) between the crack front and the free surface. The angle (β) at which the singularity (λ) equals 0.5 was found to be 101 deg almost independently of the crack-tip velocity.

Copyright © 1990 by The American Society of Mechanical Engineers
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