On mixed finite element methods for the Reissner-Mindlin plate model
نویسندگان
چکیده
منابع مشابه
On Mixed Finite Element Methods for the Reissner-mindlin Plate Model
In this paper we analyze the convergence of mixed finite element approximations to the solution of the Reissner-Mindlin plate problem. We show that several known elements fall into our analysis, thus providing a unified approach. We also introduce a low-order triangular element which is optimalorder convergent uniformly in the plate thickness.
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We consider the nite element (FE) approximation of the Reissner-Mindlin (RM) plate model, and indicate how to design meshes that yield accurate results when the p=hp version of the standard FE method is used. These guidelines allow quantities of engineering interest to be numerically predicted with great conndence near the boundary. We illustrate this through numerical computations in the case ...
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Stabilized finite element formulation for the Reissner-Mindlin plate model is considered. Physical interpretation for the stabilization procedure for low order elements is established. Explicit interpolation functions for linear and bilinear stabilized MITC elements are derived. Some numerical examples including buckling and frequency analyses are presented. Copyright c © 2000 John Wiley & Sons...
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We study the approximation of the Reissner-Mindlin plate using the p/hp version of the finite element method (FEM). Our goal is to identify a method that: (i) is free of shear locking, (ii) approximates the boundary layer independently of the thickness of the plate and (iii) converges exponentially with respect to the number of degrees of freedom. We will consider both standard and reduced cons...
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1Department of Mathematics, Purdue University, 1395 Mathematical Sciences Building, West Lafayette, IN 47907-1395, USA. Email: [email protected]. 2Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, AR 72204, USA. Email: [email protected]. 3MAB, CNRS UPRESA 5466, Université de Bordeaux I, 351 Cours de la Libération, 33400 Takence, France. Email: hzhang@m...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1992
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1992-1106965-0