Numerical tests of time-stepping schemes in the context of FEM for 6-field shell dynamics

Jacek Chróścielewski; Izabela Lubowiecka

Numerical tests of time-stepping schemes in the context of FEM for 6-field shell dynamics

Abstract

The paper deals with integration of dynamic equations of irregular shells performed with relatively long time steps. Numerical instability appearing often in this kind of analysis motivated the authors to present some studies based on numerical tests referring to convergence problems of finite element analysis as well the applied stability conditions. The analysis is carried out on simulations of shell dynamics with the where the meaning of discretisation and boundary conditions of analysed structure are the important issue in the evaluation of the results of integration algorithm.All the considerations are performed in the range of the six-field shell model where the rotation group SO(3) enters the definition of configuration space.

Authors (2)

Jacek Chróścielewski prof. dr hab. inż.
Izabela Lubowiecka dr hab. inż.

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Details

Category:: Monographic publication
Type:: rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Title of issue:: Mathematical methods in continuum mechanics strony 437 - 449
Language:: English
Publication year:: 2011
Bibliographic description:: Chróścielewski J., Lubowiecka I.: Numerical tests of time-stepping schemes in the context of FEM for 6-field shell dynamics// Mathematical methods in continuum mechanics/ Łódź: Technical University of Lodz Press, 2011, s.437-449
Verified by:: Gdańsk University of Technology