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Abstract
AbstractThe nodal stresses in a finite element may be calculated in two ways: (a) directly at the nodes; (b) by bilinear extrapolation from the stresses at the 2 × 2 Gauss points. In both cases the von Mises stress is computed from the averaged nodal stresses. In areas of stress concentration, when the mesh is not adequately refined, there is a significant difference between the maximum von Mises stresses when methods (a) and (b) are used. By means of numerical examples it is shown that method (a) is superior to (b). Using both stress values an empirical formula, based on numerous FEM results, is presented for improving the accuracy of the maximum von Mises stress. The error reduction is considerable. Only plane stress problems with 8‐node quadrilateral isoparametric elements are considered.
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