Mixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33150443" target="_blank" >RIV/61989592:15310/15:33150443 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S1468121814001254#" target="_blank" >http://www.sciencedirect.com/science/article/pii/S1468121814001254#</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2014.09.012" target="_blank" >10.1016/j.nonrwa.2014.09.012</a>

Result language
angličtina
Original language name
Mixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation
Original language description
This paper analyzes nonlinear contact problems of a large deformed beam on an elastic foundation. The beam model is governed by a nonlinear fourth-order differential equation developed by Gao (1996); while the elastic foundation model is assumed as Winkler's type. Based on a decomposition method, the nonlinear variational inequality problem is able to be reformed as a min-max problem of a saddle Lagrangian. Therefore, by using mixed finite element method with independent discretization-interpolations for foundation and beam elements, the nonlinear contact problem in continuous space is eventually converted as a nonlinear mixed complementarity problem, which can be solved by combination of interior-point and Newton methods. Applications are illustratedby different boundary conditions. Results show that the nonlinear Gao beam is more stiffer than the Euler-Bernoulli beam.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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