Hi Joe,
Does the hole exist in your model before deformation or it is generated due to failure in the material? You can extract directional deformation along x, y, and z of the nodes located at the end of the arrows in your picture to obtain the current location of the nodes. Next, calculate the distance of the two nodes using d = ((x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2)1/2