Xie Zhi-cheng, Wang Rei-wu, Yang Xue-zhong, Chien Zhen-dong. The Perturbation Finite Element Method for Solving Problems with Nonlinear Materials[J]. Applied Mathematics and Mechanics, 1983, 4(1): 123-134.
Citation: Xie Zhi-cheng, Wang Rei-wu, Yang Xue-zhong, Chien Zhen-dong. The Perturbation Finite Element Method for Solving Problems with Nonlinear Materials[J]. Applied Mathematics and Mechanics, 1983, 4(1): 123-134.

The Perturbation Finite Element Method for Solving Problems with Nonlinear Materials

  • Received Date: 1982-01-10
  • Publish Date: 1983-02-15
  • The perturbation method is one of the effective methods for solving problems in nonlinear continuum mechanics. It has been developed on the basis of the linear analytical solutions for the o-riginal problems. If a simple analytical solution cannot be obtained,we would encounter difficulties in applying this method to solving certain complicated nonlinear problems. The finite element method appears to be in its turn a very useful means for solving nonlinear problems,but generally it takes too much time in computation. In. the present paper a mixed approach,namely,the perturbation finite element method,is introduced,which incorporates the advantages of the two above-mentioned methods and enables us to solve more complicated nonlinear problems with great saving in computing time.Problems in the elastoplastic region have been discussed and a numerical solution for a plate with a central hole under tension is given in this paper.
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