Measuring the convergence behavior of shell analysis schemes

作者: Klaus-Jürgen Bathe , Phill-Seung Lee

DOI: 10.1016/J.COMPSTRUC.2010.09.007

关键词:

摘要: While shells have been analyzed abundantly for many years in engineering and the sciences, improved finite element related analysis methods are still much desired researched. More general effective procedures needed complex shell structures, including of composite optimization shells. In this paper we discuss how methods, other techniques, should be tested order to identify their reliability effectiveness. We summarize some important theoretical results, present appropriate test problems convergence measures, illustrate our discussion through novel numerical results. An conclusion is that testing has performed very carefully obtain relevant show accomplished detail.

参考文章(29)
SPTS Woinowsky-Krieger, S Timoshenko, None, THEORY OF PLATES AND SHELLS Engineering Societies Monographs. ,(1959)
Klaus-Jürgen Bathe, Finite Element Procedures ,(1995)
Anthony Ralston, Edwin D. Reilly, Encyclopedia of computer science and engineering ,(1983)
Jean Roberts, Jean-Marie Thomas, Mixed and hybrid finite element methods Springer-Verlag. ,(1991) , 10.1007/978-1-4612-3172-1
Thomas Grätsch, Klaus-Jürgen Bathe, A posteriori error estimation techniques in practical finite element analysis Computers & Structures. ,vol. 83, pp. 235- 265 ,(2005) , 10.1016/J.COMPSTRUC.2004.08.011
Klaus-Jürgen Bathe, Alexander Iosilevich, Dominique Chapelle, An inf-sup test for shell finite elements Computers & Structures. ,vol. 75, pp. 439- 456 ,(2000) , 10.1016/S0045-7949(99)00213-8
Do-Nyun Kim, Klaus-Jürgen Bathe, A triangular six-node shell element Computers & Structures. ,vol. 87, pp. 1451- 1460 ,(2009) , 10.1016/J.COMPSTRUC.2009.05.002
Dominique Chapelle, Klaus-J�rgen Bathe, The mathematical shell model underlying general shell elements International Journal for Numerical Methods in Engineering. ,vol. 48, pp. 289- 313 ,(2000) , 10.1002/(SICI)1097-0207(20000520)48:2<289::AID-NME897>3.0.CO;2-8
Do-Nyun Kim, Klaus-Jürgen Bathe, A 4-node 3D-shell element to model shell surface tractions and incompressible behavior Computers & Structures. ,vol. 86, pp. 2027- 2041 ,(2008) , 10.1016/J.COMPSTRUC.2008.04.019
Alexander Iosilevich, Klaus-Jürgen Bathe, Franco Brezzi, On evaluating the inf–sup condition for plate bending elements International Journal for Numerical Methods in Engineering. ,vol. 40, pp. 3639- 3663 ,(1997) , 10.1002/(SICI)1097-0207(19971015)40:19<3639::AID-NME232>3.0.CO;2-H