STUDY OF SOLUTION CONVERGENCE FOR THE FINITE ELEMENT FOUR-NODES SHELL ELEMENT

Fathelrahman M. Adam, A.E. Mohamed

Abstract


This paper adopted a four-node degenerated shell element. A reduced integration points scheme has been used as a remedy for the shear lock problem. The element was subjected to the patch test and passed all tests except the pure bending test. Different shell thicknesses have been adopted to find different ratios between thicknesses and the lengths of the elements for each mesh size. Some numerical examples have been applied, including curved and flat shells. Accordingly, different plots have been obtained by plotting the maximum displacements versus the ratios between the thicknesses and the lengths obtained of the elements for the different mesh sizes. The plots showed that the solutio diverged after a certain value of the ratio which has been found equal to 0.23 for the curved shell and equal to 0.9 for the flat plate shell. These values were verified by using examples of known exact maximum displacement.

 


Keywords


Shell Element; Degenerated Four-Nodes; Shear Lock;Membrane Lock;Reduced Integration

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