A Method for Calculation of Face Gradients in Two-Dimensional, Cell Centred, Finite Volume Formulation for Stress Analysis in Solid Problems

In this paper, a procedure is proposed for the evaluation of displacement gradients in a two-dimensional, cell centred, finite volume formulation for stress analysis in linear elastic solid problems. Temporary elements with isoparametric formulations are used for calculation of the gradients at the cell boundaries. In this way, stress continuity across the common face of the two adjacent cells will be guaranteed. The formulation is verified by three test cases, in which the proposed formulation shows good predictions