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Least square-finite element for elasto-static problems. Use of ‘reduced’ integration
Authors:O. C. Zienkiewicz  D. R. J. Owen  K. N. Lee
Abstract:
A least square based finite element algorithm is developed for some elasto-static problems. In the formulation both stresses and displacements appear as simultaneous variables. In two dimensional (plane) analysis, parabolie isoparametric elements are used. Considerable improvement of performance is obtained with a numerical integration based on 2 × 2 Gauss point distribution over more accurate integration schemes. Reasons for this are presented. The formulation is extended in the section ‘General least square formulation’ to beams and plates with a similar success of ‘reduced’ integration.
Keywords:
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