P-wave interaction with a pair of rigid strips embedded in an orthotropic strip
Sanjoy Basu 1  
,   S.C. Mandal 2
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Haldia Institute of Technology, Department of Applied Science, Haldia
Jadavpur University, Department of Mathematics, Kolkata
Journal of Theoretical and Applied Mechanics 2016;54(2):579–592
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.