A Direct Numerical Method for Stress and Stress-Intensity Factor in Arbitrary, Cracked, Elastic Bars Under Torsion and Longitudinal Shear

[+] Author and Article Information
J. Tirosh

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass.

J. Appl. Mech 37(4), 971-976 (Dec 01, 1970) (6 pages) doi:10.1115/1.3408726 History: Received September 19, 1969; Revised May 18, 1970; Online July 12, 2010


A numerical method is proposed for a direct local determination of stresses in a general twisted and sheared cracked bar. Conceptually, the method employs the integral approach of the potential theory but is modified to yield the stress components without numerical differentiation or interpolation from a potential function. A general expression for the stress-intensity factor at the crack tip is formulated. It checks favorably with the corresponding theoretical solutions. Computer running time and storage requirements for typical problems indicate the comparative efficiency of the method in addition to its relatively high accuracy near the crack tip.

Copyright © 1970 by ASME
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