The nonlinear hybrid stress finite element method for Hahn-Tsai composite materials
  Revised:October 08, 2004
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DOI:10.7511/jslx20066140
KeyWord:nonlinear hybrid stress element,assumed stress field,new method for stress field iteration,Hahn-Tsai composite material model
ZHANG Can-hui  FENG Wei  HUANG Qian  ZHANG Jian-lin
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Abstract:
      The nonlinear hybrid stress finite element method for Hahn-Tsai composite materials is established successfully.The Newton-Raphson iteration technique is employed to solve the displacement nonlinear equations of the structure.To save the computer cost,the element stress field can be computed by the simple iteration method from the nodal displacements.However,the fact is that the simple stress iteration is recurrent so that divergent for the large load.Obviously,the ordinary accelerating techniques cannot overcome this problem of divergence of recurrent iteration.So,a new method of nonlinear stress iteration is derived in this paper.It is useful and the rapidly convergent solution can be obtained without more computer cost.In particular,it also results in the convergent solution for large load.It is the key to the successful nonlinear hybrid finite analysis for the large load.The numerical example shows that the method is effective.