Numerical approximation of the dynamic Koiter's model for the hyperbolic parabolic shell

DOI10.1016/j.apnum.2019.10.003zbMath1437.74027OpenAlexW2979932361WikidataQ127109019 ScholiaQ127109019MaRDI QIDQ2301289

Xiaoqin Shen, Linjin Li, Qian Yang, Zhiming Gao, Tian-tian Wang

Publication date: 24 February 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.10.003

zbMATH Keywords

finite element methodfinite difference methoddynamic Koiter's modelhyperbolic parabolic shellValencia aquarium

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55) Shells (74K25) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Finite volume methods applied to problems in solid mechanics (74S10)

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Uses Software

• ANSYS
• FreeFem++
• ABAQUS

Cites Work

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• Some differential geometric relations in the elastic shell
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• An elastic shell model for the human tricuspid valve
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• Hyperbolic paraboloid shell analysis via mixed finite element formulation
• Mathematical analysis and numerical simulation of a Reynolds-Koiter model for the elastohydrodynamic journal-bearing device
• New development in freefem++
• Asymptotic analysis of dynamic problems for linearly elastic shells -- jusitification of equations for Koiter shells