How to implement Green's function for displacement in Matlab

[graba]

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?

 

[vanhees71]

I've no clue what are you be talking about :-(. Could you describe which problem you are looking at? Green's functions are a very broad technique used nearly everywhere in physics. So it's hard to guess what you are looking at!