Certain triple integral equations with an application to a crack problem in the theory of elasticity
The authors give a solution of a set of triple integral equations involving inverse Mellin-type transform \(G_r[f(r); s]=\int_R^{\infty}[r^{s-1}-R^{2s}r^{-s-1}]f(r) dr\). The formal calculations are carried out, but the classes of solutions are not discussed. As application, the authors detrmine the stress intensity factors and crack formation energy of a pair of line cracks near a circular hole of radius \(R\) in an infinite elastic solid under longtitudinal shear.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00032].
scientific article; zbMATH DE number 1643895