The Relative Displacement Plate-Shell Element with 16 Nodes and 40 Degrees of Freedom
  
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DOI:10.7511/jslx19924059
KeyWord:relative displacement, plate-shell element,
Xu Xing  Cai Ruifeng
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Abstract:
      A new isoparametric plate shell element of sixteen nodes and fourty degrees of freedom, which takes account of the transverse shear deformation, is developed in this paper directly from the 3-D elastic theories. In order to overcome the difficulties caused by a straightforward use of 3-D element formulation. the relative displacement method is introduced. For curved shell elements, the use of the orthogonal curvilinear co-ordinate system greatly reduces the computer effort. The new element is characterized by its very simple and uniform formulation. Numerical examples indicate that the element provided here gives very good accuracy, a quite optimal rate of convergence and a rather fast computational speed, which also demonstrates the efficiency of the element.