The results are in very good agreement with the analytical solution. Using a grid with less control volumes leads to similar results. The non-linear behaviour of the stresses requires a massive grid refinement close to the hole, though, in order to predict displacements accurately, since they are extrapolated from the field onto the boundary. These displacements are used to calculate the strain field which again serves for the computation of stresses, which reveals one of the major drawbacks of the method. Edge and corner values are not computed (directly) but have to be extrapolated from the field. This might lead to mistakes in these areas and has to be taken into account for every computation.
References
[1] Demirdzic, I.; Muzaferija, S.: Finite Volume Method for Stress Analysis in Complex Domains, Int. J. f. Num. M. in Eng., Vol. 37, 1994
[2] Wiedemann, J.: Leichtbau, Band 1: Elemente, Springer-Verlag, 1986, Berlin, Heidelberg
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