Two lower order nonconforming rectangular elements for the Reissner-Mindlin plate
نویسندگان
چکیده
منابع مشابه
Two lower order nonconforming rectangular elements for the Reissner-Mindlin plate
In this paper, we propose two lower order nonconforming rectangular elements for the Reissner-Mindlin plate. The first one uses the conforming bilinear element to approximate both components of the rotation, and the modified nonconforming rotated Q1 element to approximate the displacement, whereas the second one uses the modified nonconforming rotated Q1 element to approximate both the rotation...
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Four quadrilateral elements for the Reissner-Mindlin plate model are considered. The elements are the stabilized MITC4 element of Lyly, Stenberg and Vihinen [27], the MIN4 element of Tessler and Hughes [35], the Q4BL element of Zienkiewicz et al [39] and the FMIN4 element of Kikuchi and Ishii [21]. For all elements except the Q4BL element, a unifying variational formulation is introduced, and o...
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In this work-in-progress we report on a new approach to obtaining stable locking-free discretizations of the Reissner–Mindlin plate model. For a plate of thickness t with midplane section Ω ⊂ R the clamped Reissner–Mindlin plate model determines ω , the transverse displacement of the midplane, and φ , the rotation of fibers normal to the midplane, as the unique minimizer over H̊1(Ω)× H̊(Ω) of the...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2007
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-07-01952-7