The Inf-Sup Condition Tests for Shell/Plate Finite Elements / Testy Warunku Inf-Sup Do Oceny Płytowych I Powłokowych Elementów Skonczonych

Archives of civil engineering

Ph. D., Eng. M. SitekChair of Structural Mechanics and Computer Aided Engineering, Faculty of Civil Engineering, Warsaw University of Technology, Warszawa, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹  Ph. D., D. Sc., Eng., Professor W. GilewskiWUT, Chair of Structural Mechanics and Computer Aided Engineering, Faculty of Civil Engineering, Warsaw University of Technology, Warszawa, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar² 

[1] Chair of Structural Mechanics and Computer Aided Engineering, Faculty of Civil Engineering, Warsaw University of Technology, Warszawa, Poland;WUT, Chair of Structural Mechanics and Computer Aided Engineering, Faculty of Civil Engineering, Warsaw University of Technology, Warszawa, Poland

关键词: Keywords: shells;    plates;    evaluation;    inf-sup tests;   

DOI  :  10.2478/v.10169-011-0030-4

学科分类：建筑学

来源: Polska Akademia Nauk * Instytut Podstawowych Problemow Techniki / Polish Academy of Sciences, Institute of Fundamental Technological Research

【 摘 要 】

Development of high-performance finite elements for thick, moderately thick, as well as thin shells and plates, was one of the active areas of the finite element technology for 40 years, followed by hundreds of publications. A variety of shell elements exist in the FE codes, but “the best” finite element is still to be discovered. The paper deals with an evaluation of some existing shell finite elements, from the point of view of the third of three requirements to be satisfied by the element: ellipticity, consistency and inf-sup condition. It is difficult to prove the inf-sup condition analytically, so, a numerical verification is proposed. A set of numerical tests is considered for shell and plate problems. Two norm matrices and a selection of the stiffness matrices (bending, shear and membrane dominated) are analysed. Finite elements from various computer systems can be evaluated and compared with the use of the proposed tests.

【 授权许可】

Unknown