Abstract
Abstract For the same configuration of two-dimensional finite element models, 6-node element exhibits stiffer bending stiffness than 8-node element. The same is true in the relation between 16-node element and 20-node element for three-dimensional model. This stiffening phenomenon comes from the elimination of several mid nodes from full-node elements. Therefore, this may be called “relative stiffness stiffening phenomenon”. It seems that there are a couple of ways to correct the stiffening effect, however, we could find only one effective method—the method of modification of Gauss sampling points—which passes the patch test and does not alter other kinds of stiffness, such as extensional stiffness. The quantity of modification is a function of Poisson's ratios of the constituent materials. We checked the effectiveness of the modification method by applying it to several examples to find excellent improvements. In numerical examples, beams and plates with various boundary conditions are subjected to static and time-dependent loads. Mode analyses of beams and plates have been also carried out, and the results are compared with experimental ones.
Published Version
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