Displacement discontinuity method for cracked orthotropic strip: Dynamic

A displacement discontinuity method (DDM) is presented for elastodynamic response of an orthotropic strip with straight cracks under impact loads. The dynamic Green’s function for mode I displacement discontinuity is derived for an orthotropic strip using the Fourier transform method in the Laplace transform domain. It has been shown that the orthotropic dynamic Green’s function has the same order of hypersingularity as in the static isotropic problem, i.e. O(1/r2), and Chebyshev polynomials of the second kind are used to evaluate the integrals. The time domain dynamic stress intensity factor (DSIF) is obtained directly from coefficients of the Chebyshev polynomials with the aid of Durbin’s Laplace transform inversion method. The influence of elastic waves on DSIF is demonstrated.