Benchmark computations of stresses in a spherical dome with shell finite elements
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Authors
Date
2016
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Mcode
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Language
en
Pages
B440-B457
Series
SIAM Journal on Scientific Computing, Volume 38, issue 3
Abstract
We present a computational framework for analyzing thin shell structures using the finite element method. The framework is based on a mesh-dependent shell model which we derive from the general laws of three-dimensional elasticity. We apply the framework for the so-called Girkmann benchmark problem involving a spherical shell stiffened with a foot ring. In particular, we compare the accuracy of different reduced strain four-node elements in this context. We conclude that the performance of the bilinear shell finite elements depends on the mesh quality but reasonable accuracy of the quantities of interest of the Girkmann problem can be attained in contrast to earlier results obtained with general shell elements for the problem.Description
Keywords
Convergence, Finite elements, Locking, Shell structures, Stabilized methods, Thin shell theory
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Citation
Niemi, A H 2016, ' Benchmark computations of stresses in a spherical dome with shell finite elements ', SIAM Journal on Scientific Computing, vol. 38, no. 3, pp. B440-B457 . https://doi.org/10.1137/15M1027590