Nonlinear finite element analysis based on macro triangular partition shell element
  Revised:January 13, 2006
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DOI:10.7511/jslx20082029
KeyWord:ANS(Assumed Natural Strain),partition shell element,UEL(User Defined Element),UMAT(User Defined Material),damage energy release rate
CAO Yang  LI Jie
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Abstract:
      Due to the intractable shear locking effect,up to now most triangular shell elements are still denied in the practical analysis of engineering structures despite its comparative topological advantage.Based on the assumed natural strain(ANS) theory,this paper has studied a novel macro triangular partition shell element.With the introduction of a virtual node inside a normal three-node triangular mesh,a macro triangular partition shell element is formed with three individual sub-triangular domains.The strain and stress vectors of each individual domain as well as its corresponding stiffness matrix are specially calculated at certain sampling locations.After condensing out the virtual node,a macro triangular partition shell element still utilizes the same mesh discretization as a normal three-node triangular element.In virtue of the user subroutines UEL(user defined element) and UMAT(user defined material) integrated into engineering general-purpose simulation tool,ABAQUS,a successful nonlinear analysis has been obtained with the combination of macro triangular partition shell element and damage energy release rate-based elastoplastic damage constitutive model for concrete.A classical experiment,two-way McNeice concrete slab,has been presented to illustrate the efficacy of macro triangular partition shell element in describing nonlinear damage conditions of plate and shell structures.