The quadratic MITC plate and MITC shell elements in plate bending
نویسندگان
چکیده
منابع مشابه
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...
متن کاملRobust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements
A Balancing Domain Decomposition Method by Constraints (BDDC) is constructed and analyzed for the Reissner-Mindlin plate bending problem discretized with MITC finite elements. This BDDC algorithm is based on selecting the plate rotations and deflection degrees of freedom at the subdomain vertices as primal continuity constraints. After the implicit elimination of the interior degrees of freedom...
متن کاملAN hp ERROR ANALYSIS OF MITC PLATE ELEMENTS
We give an hp error analysis of several rectangular families of finite elements for the Reissner–Mindlin plate bending equations. We consider both the original MITC families [K. J. Bathe, F. Brezzi, and M. Fortin, Internat. J. Numer. Methods Engrg., 28 (1989), pp. 1787– 1801] and some new ones introduced in this paper. For the deflection and rotation we give error estimates which are optimal wi...
متن کاملAnalysis for quadrilateral MITC elements for the Reissner-Mindlin plate problem
The present paper is made up of two parts. In the first part, we study the mathematical stability and convergence of the quadrilateral MITC elements for the Reissner-Mindlin plate problem in an abstract setting. We generalize the Brezzi-Bathe-Fortin conditions to the quadrilateral MITC elements by weakening the second and fourth conditions. Under these conditions, we show the well-posedness of ...
متن کاملDevelopment 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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Engineering Software
سال: 2010
ISSN: 0965-9978
DOI: 10.1016/j.advengsoft.2009.12.011