Application of Finite Volume Method for Structural Analysis

A two-dimensional unstructured Galerkin Finite Volume Method (GFVM) solver of structural problems is introduced and applied for a plane-strain case. The developed matrix free explicit solver computes stresses and displacements of 2D solid mechanic problems. The test case is a rectangular plate with a circular hole at the centre of it, under uniformly distributed loads on all its sides. The results of present iterative explicit solver are compared with the analytical solution of the very same case using the general thick-walled tube problem formulations. The performance of the introduced method is presented in terms of stress and strain contours, convergence diagrams and error charts.

کلیدواژه ها:

Constraint Free ، Plane-Strain Problem ، Internal Circular Hole ، Galerkin Finite Volume Method ، Analytical Solution ، Distributed Load