Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (1): 127-140.

• Articles • Previous Articles     Next Articles

THE PERTURBATION FINITE ELEMENT METHOD FOR SOLVING PROBLEMS WITH NONLINEAR MATERIALS

Xie Zhi-cheng, Wang Rei-wu, Yang Xue-zhong, Chien Zhen-dong   

  1. Qinghua University, Beijing
  • Received:1982-01-10 Online:1983-01-18 Published:1983-01-18

Abstract: 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.

Key words: multi-body flexible system, dynamics, stability, control, functional space

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