Abstract
Efficiency, generality and simplicity of use have ensured the continued popularity of degenerated shell elements [1]. The basic assumptions employed in degenerated shell elements are similar to those used for Mindlin plate elements [2]. Ahmad degenerated a three-dimensional brick element into a general curved shell element which has nodes only at the midsurface. The stress in the thickness direction is assumed to be equal to zero and the element displacement field is expressed in terms of three displacements of the midsurface, two rotations of the midsurface “normal” and appropriate shape functions.
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References
Ahmad S (1969) Curved finite elements in the analysis of solid, shell and plate. PhD thesis, University College of Swansea, C/PH/7/69
Mindlin RD (1951) Influence of rotary inertia and shear on flexural motions of isotropic, elastic plate. J Appl Mech 18: 31–38
Zienkiewicz OC, Taylor RL, Too JM (1971) Reduced integration techniques in general analysis of plates and shells. Intl J Numer Meth Engng 3: 275–290
Onate E, Hinton E, Glover N (1978) Techniques for improving the performance of Ahmad shell elements. Proceedings of the international conference on applied numerical modelling, Madrid. Pentech Press
Pugh EDL, Hinton E, Zienkiewicz OC (1978) A study of quadrilateral plate bending elements with “reduced” integration. Intl J Numer Meth Engng 12: 1059–1079
Huang HC, Hinton E (1984) A nine node Lagrangian Mindlin plate element with enhanced shear interpolation. Engng Comp 1: 369–379
Huang HC, Hinton E (1986) A new nine node degenerated shell element with enhanced membrane and shear interpolation. Intl J Numer Meth Engng 22: 73–92
Marguerre K (1939) Zur theorie der gekrummten platte grosser formanderung. Proc Intl Congress Appl Mech 5: 93–101
Parisch H (1979) A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration. Comp Meth Appl Mech Engng 20: 323–350
Huang HC (1986) Defect-free shell elements. PhD thesis, University College of Swansea, C/Ph/89/86
Huang HC (1987) Membrane locking and assumed strain shell elements. Comp Struct 27: 671–677
Figueiras JA (1983) Ultimate load analysis of anisotropic and reinforced concrete plates and shells. PhD thesis, University College of Swansea, C/Ph/72/83
Huang HC (1987) Implementation of assumed strain degenerated shell elements. Comp Struct 25: 147–155
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© 1989 Springer-Verlag Berlin Heidelberg
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Huang, HC. (1989). Assumed Strain Finite Element Shell Formulations. In: Static and Dynamic Analyses of Plates and Shells. Springer, London. https://doi.org/10.1007/978-1-4471-1669-1_6
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DOI: https://doi.org/10.1007/978-1-4471-1669-1_6
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1671-4
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