On the influence of the orientation of spheroidal hollows and rigid inclusions in orthotropic media on stress concentration

Abstract

We consider the problem of stress concentration in an orthotropic elastic medium containing an arbitrarily oriented spheroidal hollow or an inclusion. For the solution of the problem, we use the method of equivalent inclusion, triple Fourier transformation over the space variables, and the Fourier transform of the Green function for an infinite anisotropic space. In computing some double integrals over a finite domain, we use the Gaussian quadrature formulas. In special cases, the results of our investigations are compared with the data of other authors. The influence of the orientation of the inhomogeneity on stress concentration is investigated.