Locking-free finite element methods for shells
نویسندگان
چکیده
منابع مشابه
Locking-free finite element methods for shells
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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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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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1997
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-97-00785-0