Precise integration finite element algorithm of viscoelastic solid
  Revised:September 25, 2001
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DOI:10.7511/jslx20041022
KeyWord:viscoelastic solid constitutive equation,state space equation,precise integration finite element,
Liu Jinghua~
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Abstract:
      The mathematical representation of viscoelastic solid constitutive equation can be written into the differential equation and integral equation,and their numerical solutions always depend on discrete of time domain.From the differential representation, the mathematical representation of the state space equation deduced, and the equivalence of these equations is given by strictly derivation.Using the state space equation, the constitutive equation can be solved by precise integration.And a precise integration algorithed finite element mothed is proposed. The present algorithm can be used for solving viscoelastic solid constitutive equation and has advantages of high precision and convenient calculation.