caa a22 4500 445811838 CHVBK 20180317145214.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00419-011-0530-3 doi (NATIONALLICENCE)springer-10.1007/s00419-011-0530-3 Kocsán Lajos Department of Mechanics, University of Miskolc, H-3515, Miskolc-Egyetemváros, Hungary aut Derivation of a dual-mixed hp -finite element model for axisymmetrically loaded cylindrical shells [Elektronische Daten] [Lajos Kocsán] The two-field dual-mixed Fraeijs de Veubeke variational formulation of three-dimensional elasticity serves as the starting point of the derivation of a dimensionally reduced shell model presented in this paper. The fundamental variables of this complementary energy-based variational principle are the not a priori symmetric stress tensor and the skew-symmetric rotation tensor. The tensor of first-order stress functions is applied to satisfy translational equilibrium, while the rotation tensor plays the role of a Lagrange multiplier to ensure rotational equilibrium. The volumetric locking-free shell model uses unmodified three-dimensional constitutive equations, and no classical kinematical hypotheses are employed during the derivation. The numerical performance of the related low-order h-, and higher-order p-version finite elements developed for axisymmetrically loaded cylindrical shells is investigated by two representative model problems. It is numerically proven that no negative effect can be experienced when the thickness is small and tends to zero. Springer-Verlag, 2011 Dual-mixed nationallicence Cylindrical shell nationallicence Locking-free nationallicence hp -finite element nationallicence Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1953-1971 0939-1533 81:12<1953 2011 81 419 https://doi.org/10.1007/s00419-011-0530-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-011-0530-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kocsán Lajos Department of Mechanics, University of Miskolc, H-3515, Miskolc-Egyetemváros, Hungary aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1953-1971 0939-1533 81:12<1953 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer