On improved rectangular finite element for plane linear elasticity analysis
Keywords:
rectangular element, two-dimensional elasticity, strain approach, membrane, static condensationAbstract
Based on the strain approach, with the customary two displacement d.o.f at each corner, a rectangular element is developed for the general plane linear elasticity problems. The adoption of independent linear variations for direct strains and an independent constant shearing strain proves to be effective in improving the accuracy of the elements. However any singularity is eliminated by the use of local axes optimally oriented. From the numerical examples of a beam under bending and shear, by using the concept of static condensation it is concluded that the exact solutions can be obtained. Several numerical examples are presented to show that the present element has high accuracy, excellent computational efficiency.
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