Stress Distribution between Gauss Quadrature Method and Alternate Method for Functionally Graded Material.

The present study aims to compare the nodal stresses for Gauss Quadrature method and alternate method. The alternate method represents the corner point and midpoint of a quadrilateral as a sampling points of the element. It is extrapolated using Richardson extrapolation in the finite element analysis. To investigate the influence of material property variation like Young?s modulus, numerical example for the family of quadrilateral element (Q4 and Q8) are solved and compare the results of functionally graded elements with the homogeneous elements. The result of nodal stresses of the alternate method are compared to the conventional Gauss Quadrature method.