Large deformation study of shell with assumed strain and its application in impact dynamic analysis
  Revised:March 12, 2001
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DOI:10.7511/jslx20031006
KeyWord:relative degree of freedom shell element,assumed strain,large deformation
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Abstract:
      A 8\|nodes shell element with the relative degree of freedom has been developed in this paper for large deformation analysis of the plate and shell structures. Without the rotation parameters, the displacement field of the shell element is represented by the displacement on the shell mid\|surface together with the relative displacement on shell top surface. The development is based upon the complete three dimensional field equation of displacement, stress and strain. With the aid of assumed strain method, a scheme to enhance the accuracy of the element for large displacement analysis is described. Resorting to Wilson's incompatible mode, the assumed strain fields are constructed for the large deformation analysis. The finite element formulation of shell element with the relative degree of freedom is derived. The numerical examples show that the proposed methodology achieves good performance for the impact problems which exhibit large deformation, elastic\|plastic dynamic response.