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

This paper adopted a four-node degenerated shell element. A
reduced integration point’s 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 solution 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.
IJBE-8-3-2020_Adam__Et_Al_75_86.pdf (821٫4% u)

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