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A new plate bending element for the analysis of thin plates of arbitrary shapes

Mukhopadhyay M., Sheikh A. H.

Applied Mechanics and Engineering

2000

Vol. 5, no 2

337-354

It is well known that the isoparametric element has certain drawbacks when applied to thin plates subjected to bending. The specific problem which creeps up for such cases is known as the shear locking phenomenon which becomes more and more pronounced as the thickness of the plate reduces. Though this can be taken care of by techniques such as the reduced integration, problems still linger for very thin plates which occur in many practical structures. The mapping concept used in the formulation of the isoparametric element has been utilised in developing a new four-noded plate bending element. The shear deformation which is not important for the analysis for thin plates has not been considered and thus the disturbing feature of shear locking does not creep into the analysis, yet like the isoparametric element the new element is able to analyse plates having arbitrary shapes.

Finite element static analysis of stiffened shells

Samanta A., Mukhopadhyay M.

Applied Mechanics and Engineering

1998

Vol. 3, no 1

55-87

Stiffened shell has been analyzed on the basis of a combination of Allman's plane stress triangle and DKT plate bending element. As the same displacement function is used for both the shell and the stiffener element, the compatibility condition at the shell beam junction is ensured. The formulation of the stiffener is done in such a manner that it can be placed anywhere within the shell element. The applicability of this element is tested for different structures, particularly for shallow and deep shells.