Three-Dimensional Viscoelastic Large Deformation Analysis By Using A Total Lagrangian Incremental Finite Element Method

  • Shen Yapeng
  • Wang Xiaoming
Conference paper


Employing the Total Lagrangian (T.L.) approach and the integral constitutive formulation expressed by Kirchhoff stress increment and Green strain increment, the continued equilibrium equation is obtained. It is simpler than that given by Updated Lagrangian (U.L.) approach, therefore computer time may be saved. The computational results confirm that the numerical value obtained by both of the T.L. and U.L. approach are identical.


Finite Element Method Finite Element Formulation Green Strain Kirchhoff Stress Constitutive Formulation 
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  1. 1.
    Shen Yapeng; Chen Yiheng: The finite element method of viscoelastic large deformation plane problem with Kirchhoff stress tensors-Green strain tensors constitutive relation. Proceedings of ICCM, 151–156, 1986, Tokyo.Google Scholar
  2. 2.
    Shen Yapeng; Yin Jiaju; Chen Shuchan: The three-dimensional large deformation viscoelastic analysis by Updated Lagrangian finite element method. Computational structural mechanics and application V.4 N.2 43–53, 1987.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Shen Yapeng
    • 1
  • Wang Xiaoming
    • 1
  1. 1.Department of Engineering MechanicsXi’an Jiaotong UniversityXi’anChina

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