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Determination of stress intensity factors in half-plane containing several moving cracks.pdf

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Determination of stress intensity factors in half-plane containing several moving cracks.pdf

Appl. Math. Mech. -Engl. Ed., 34(12), 1535–1542 (2013) Applied Mathematics DOI 10.1007/s10483-013-1765-8 and Mechanics c Shanghai University and Springer-Verlag Berlin Heidelberg 2013 (English Edition) Determination of stress intensity factors in half-plane containing several moving cracks∗ 1 1 2 K. MALEKZADEH FARD , M. M. MONFARED , K. NOROUZIPOUR (1. Department of Structural Analysis and Simulations, Space Research Center, Karaj-Tehran High Way, Tehran 13445-768, Iran; 2. Institute for Advanced Studies in Basic Sciences, Gavazang, Zanjan 45195-1159, Iran) Abstract The dynamic stress intensity factors in a half-plane weakened by several ﬁnite moving cracks are investigated by employing the Fourier complex transformation. Stress analysis is performed in a half-plane containing a single dislocation and without dislocation. An exact solution in a closed form to the stress ﬁelds and displacement is ob- tained. The Galilean transformation is used to transform between coordinates connected to the cracks. The stress components are of the Cauchy singular kind at the location of dislocation and the point of application of the force. Numerical examples demonstrate the inﬂuence of crack length and crack running velocity on the stress intensity factor. Key words moving crack, stress intensity factor, half-plane, Cauchy singularity Chinese Library Classiﬁcation O346 2010 Mathematics Subject Classiﬁcation