Towards improving the MITC9 shell element

The MITC9 shell element in plate bending: mathematical analysis of a simplified case

We consider the 9-node shell element referred to as the MITC9 shell element in plate bending solutions and present a simplified mathematical analysis. The element uses bi-quadratic interpolations of the rotations and transverse displacement, and the “rotated Raviart-Thomas” interpolations for the transverse shear stresses. A rigorous mathematical analysis of the element is still lacking, even f...

The Mitc7 and Mitc9 Plate Bending Elements

We present in this paper two plate bending elements that have been proposed and mathematically analyzed previousIy by Bathe, Brezzi and Fortin: the MITC7 (a triangular) element and the MITC9 (a quad~late~l) element. The formation of these elements is summarized and example solutions are given that demonstrate the high accuracy of these elements. 1. lNTRODUCHON Although much research effort has ...

The MITC4+ shell element and its performance

A new MITC4+ shell element

We presented in Ko et al. (2016) an MITC4+ shell element that shows a much improved convergence behavior when compared to the widely used MITC4 (Dvorkin and Bathe, 1984) shell element. However, the element does still not show optimal convergence behavior when used in distorted meshes in the analysis of some shell problems. In the present paper, we establish a new MITC4+ shell element which show...

Towards a Cyberaide Shell for the TeraGrid

Through the development of advanced middleware, Grid computing has evolved to a mature technology that scientists and researchers can leverage to gain knowledge that was previously unobtainable in a wide variety of scientific domains [2]. However, the ability for new scientists to become involved with Grid computing has become challenging due to its complex nature. This high entry barrier in tu...