Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

FEM stress recovery using Trefftz polynomials

J. Mazúr*, V. Kompiš, P. Novák
University of Žilina, Faculty of Mechanical Engineering, Department of Mechanics, Univerzitná 1, 010 26 Žilina, Slovakia

  Full Text
Stress recovery is an important part of the stress analysis in the FEM computations and can improve both accuracy and rate of convergence of computed stress fields. Satisfying both equilibrium and boundary conditions improves the results. In this contribution, a stress recovery technique using Trefftz (T-)interpolation polynomials and taking into account also the static boundary conditions (b.c.) in the most frequently used displacement FEM formulation is presented. A special kind of interpolation polynomial is used for elements on curved boundaries.

Keywords:  Stress recovery; Trefftz polynomials; Curved boundaries; Displacement FEM; Accuracy; Convergence studies

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