A new 4-node C~0 quadrilateral plate/shell element with drilling degree of freedom
  
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DOI:10.7511/jslx20003051
KeyWord:plate and shell,finite element method,drilling degree of freedom,shear locking,large deflection
Zhu Ju\|fen  ZHENG Gang
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Abstract:
      HT5SS]A new four node C 0 quadrilateral element is based on the Reissner\|Mindlin moderately thick plate theory and von Karman moderately large deflection assumptions is presented to analyse large deflection problems of composite plate/shell structures. Shear locking is overcome by using an independent interpolation function for transverse shear strains which is consistent within element domain and at element boundaries. The present element has a drilling normal rotation. The drilling degree of freedom contributes only to the membrane displacement components interpolated by a two\|order interpolation function which is for overcoming the singular behaviour when the finite element equations are assembled at points where elements are co\|planar in local coordinates. The numerical examples have demonstrated that the present element has good performance for linear bending, nonlinear bending, buckling and postbuckling analyses of various laminated plate and shell structures.