Development of MITC isotropic triangular shell finite elements

Development of MITC isotropic triangular shell finite elements

We present a simple methodology to design isotropic triangular shell finite elements based on the Mixed Interpolation of Tensorial Components (MITC) approach. Several mixed-interpolated isotropic triangular shell finite elements are proposed. We perform well-established numerical tests and show the performance of the new elements. 2004 Published by Elsevier Ltd.

The quadratic MITC plate and MITC shell elements in plate bending

0965-9978/$ see front matter 2009 Elsevier Ltd. A doi:10.1016/j.advengsoft.2009.12.011 * Corresponding author. E-mail address: [email protected] (K.J. Bathe). The analysis of plates can be achieved using the quadratic MITC plate or MITC shell elements. The plate elements have a strong mathematical basis and have been shown to be optimal in their convergence behavior, theoretically and numerically. Th...

A Computerized Symbolic Integration Technique for Development of Triangular a N D Quadrilateral Composite Shallow- Shell Finite Elements

Derivative Superconvergence of Equilateral Triangular Finite Elements

Derivative superconvergent points under locally equilateral triangular mesh for both the Poisson and Laplace equations are reported. Our results are conclusive. For the Poisson equation, symmetry points are only superconvergent points for cubic and higher order elements. However, for the Laplace equation, most of superconvergent points are not symmetry points, which are reported for the first t...

Triangular Elements in the Finite Element Method

For a plane polygonal domain Q and a corresponding (general) triangulation we define classes of functions pmix, v) which are polynomials on each triangle and which are in C^'CQ) and also belong to the Sobolev space ^""^'(n). Approximation theoretic properties are proved concerning these functions. These results are then applied to the approximate solution of arbitrary-order elliptic boundary va...