P-wave Interaction by an Asymmetric Crack in an Orthotropic Strip

Abstract

Diffraction of p-wave by a Griffith crack at an asymmetric position in an infinite orthotropic strip is analyzed. Fourier and Abel transforms are used to reduce the problem to a system of dual integral equation. The system of dual integral equation is further reduced to a Fredholm integral equation of second kind and finally the integral equation is solved numerically. The Stress Intensity Factor has been calculated and illustrated graphically to show the effect of asymmetry of the position of the crack and material orthotropy.

P-Waves Interaction with Crack at Orthotropic Interface

“…We consider that the displacement on the crack faces u x (x, 0 + ) and u y (x, 0 − ) are identical. So for that in lieu of (7) we consider u (1) x (x, 0…”

“…The normal stress σ yy (x, y) in the plane y = 0 in the periphery of the crack tip can be found and is given by σ (1) yy (x, 0) = −…”