Dynamic Mixed Mode I-II Crack Kinking Under Oblique Stress Wave Loading in Brittle Solids

[+] Author and Article Information
Chien-Ching Ma

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10764

J. Appl. Mech 57(1), 117-127 (Mar 01, 1990) (11 pages) doi:10.1115/1.2888291 History: Received May 02, 1988; Revised April 01, 1989; Online March 31, 2008


The dynamic stress intensity factors of an initially stationary semi-infinite crack in an unbounded linear elastic solid which kinks at some time tf after the arrival of a stress wave is obtained as a function of kinking crack tip velocity v, kinking angle δ, incident stress wave angle α, time t , and the delay time tf . A perturbation method, using the kinking angle δ as the perturbation parameter, is used. The method relies on solving simple problems which can be used with linear superposition to solve the problem of a kinked crack. The solutions can be compared with numerical results and other approximate results for the case of tf = 0 and give excellent agreement for a large range of kinking angles. The elastodynamic stress intensity factors of the kinking crack tip are used to compute the corresponding fluxes of energy into the propagating crack-tip, and these results are discussed in terms of an assumed fracture criterion.

Copyright © 1990 by The American Society of Mechanical Engineers
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