A locking-free finite element method for Naghdi shells
نویسندگان
چکیده
منابع مشابه
A Locking-Free Finite Element Method for Naghdi Shells
In this paper a locking-free method, using mixed nite elements, is introduced to approximate the soluton of Naghdi shell problems with small parameter t, the thickness of the shell. The approach of Arnold and Brezzi 1] is employed with some important changes. Instead of proving the discrete Inf-Sup condition for arbitrary geometric coeecients, which does not seem possible, we prove a weaker sta...
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We propose a new family of finite element methods for the Naghdi shell model, one method associated with each nonnegative integer k. The methods are based on a nonstandard mixed formulation, and the kth method employs triangular Lagrange finite elements of degree k+2 augmented by bubble functions of degree k+ 3 for both the displacement and rotation variables, and discontinuous piecewise polyno...
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The Koiter shell model is widely used in the existing research and commercial codes. But for shells with very small thickness, membrane locking is expected. In this paper we propose a locking free mixed nite element method for the Koiter shell model. Beside the primitive unknowns, namely the displacements in the tangential and transversal directions, the membrane stresses are introduced as inde...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1998
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00234-3