Dear users, right now I am struggling with calculations of the displacement in the analytically way. I am trying to accomplish this with help of the Eshelby's work (Eshelby's tensor). Right now I have a problem with Green's function. Displacement is expressed by Green's function, it looks like this (please see attachment). Now I need Your help, because I don't know how to express Green's function from above equation in Matlab. Can anybody explain the Green's function from the simplest mathematical way?