LINEAR ANALYSIS OF AXIS-SYMMETRIC PLATES AND SHELLS BY THE GENERALIZED FINITE ELEMENT METHOD

Authors

  • OSCAR ALFREDO GARCIA
  • SERGIO PERSIVAL BARONCINI PROEçA

Keywords:

Abstract

THIS PAPER IS AIMED AT PROVING THE ABILITY OF GENERALIZED FINITE ELEMENT APPROXIMATION SPACES IN DEALING WITH AXIS-SYMMETRIC PLATE AND SHELLS PROBLEMS. THE GFEM IS IMPLEMENTED USING A DEGENERATED SHELL ELEMENT MESH [1] SPECIALIZED FOR THE AXISYMMETRIC CASE. THE FIRST ORDER KINEMATIC MODEL OF REISSNER-MINDLIN IS ADOPTED. BOTH H AND HP-ADAPTIVITY ARE EXPLORED IN THE EXAMPLES. THE LOCKING ISSUE IS ANALYZED THROUGH CIRCULAR PLATE AND REVOLUTION SHELL BENDING PROBLEMS. THE ABILITY TO APPROXIMATE STRONG GRADIENTS IN BOUNDARY LAYERS IS ALSO SHOWN BY CYLINDRICAL REVOLUTION SHELL EXAMPLE. THE ENRICHMENT OVER A CUBIC PARTITION OF UNITY IS ¯NALLY EXPLORED IN ORDER TO REPRODUCE SMOOTH DISTRIBUTIONS OF INTERNAL MOMENTS AND SHEAR FORCES.

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Published

2007-06-01

Issue

Vol. 4 No. 2 (2007)

Section

Articles

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