P-wave interaction with a pair of rigid strips embedded in an orthotropic strip

Abstract

The present paper is concerned with the problem of scattering of the P-wave by two co--planer finite rigid strips placed symmetrically in an infinitely long orthotropic strip. Using the Hilbert transform technique, the mixed boundary value problem has been reduced to the solution of dual integral equations which has finally been reduced to the solution of a Fredholm integral equation of the second kind. Solving this integral equation numerically, stress intensity factors have been calculated at the inner and outer edges of the rigid strips, and the vertical displacement outside the strips has been calculated and plotted graphically to show the effect of material orthotropy.

The fracture mechanics formulas for split-tension strips

“…However, a more useful solution for discontinuous loading, as shown in Fig. 3a, may be derived by using Fourier series (Barber, 2004;Timoshenko and Godier, 1970;Mirsalimov and Hasanov, 2015;Basu and Mandal, 2016). The following equation has commonly been used as the stress function in such cases…”