Basic solution of two 3D rectangular cracks in an orthotropic elastic media

Abstract

Key words Mechanics of solids, orthotropic elastic media, two rectangular cracks, the stress intensity factors.By using the generalized Almansi's theorem and the Schmidt method, the solution of two 3D rectangular cracks in an orthotropic elastic media is investigated. The problems are solved through 2D Fourier transform as three pairs of dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. To solve the dual integral equations, the displacement jumps across the crack surfaces are directly expanded as a series of Jacobi polynomials. The effects of the geometric shape of the rectangular crack and the distance between two rectangular cracks on the stress intensity factors (SIFs) in an orthotropic elastic media are concluded.

Dynamic stress intensity factors of an interfacial crack in orthotropic elastic strips under impact loading conditions

“…using complex variable approach. By using the generalized Almansi's theorem and the Schmidt method, the solution of two 3D rectangular cracks in an orthotropic elastic media was investigated by Liu et al . In 2016, Mishra et al .…”