caa a22 4500 477037119 CHVBK 20180405111308.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF02434053 doi (NATIONALLICENCE)springer-10.1007/BF02434053 A nonlinear extensible 4-node shell element based on continuum theory and assumed strain interpolations [Elektronische Daten] [P. Betsch, E. Stein] Summary: A quadrilateral continuum-basedC 0 shell element is presented, which relies on extensible director kinematics and incorporates unmodified three-dimensional constitutive models. The shell element is developed from the nonlinear enhanced assumed strain (EAS) method advocated by Sino & Armero [1] and formulated in curvilinear coordinates. Here, the EAS-expansion of the material displacement gradient leads to the local interpretation of enhanced covariant base vectors that are superposed on the compatible covariant base vectors. Two expansions of the enhanced covariant base vectors are given: first an extension of the underlying single extensible shell kinematic and second an improvement of the membrane part of the bilinear element. Furthermore, two assumed strain modifications of the compatible covariant strains are introduced such that the element performs well even in the case of very thin shells. Springer-Verlag New York Inc, 1996 Betsch P. Institut für Baumechanik und Numerische Mechanik, Universität Hannover, Germany aut Stein E. Institut für Baumechanik und Numerische Mechanik, Universität Hannover, Germany aut Journal of Nonlinear Science Springer-Verlag 6/2(1996-03-01), 169-199 0938-8974 6:2<169 1996 6 332 https://doi.org/10.1007/BF02434053 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02434053 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Betsch P. Institut für Baumechanik und Numerische Mechanik, Universität Hannover, Germany aut NATIONALLICENCE 700 1- Stein E. Institut für Baumechanik und Numerische Mechanik, Universität Hannover, Germany aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 6/2(1996-03-01), 169-199 0938-8974 6:2<169 1996 6 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer