Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (1): 19-29.

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THE PERTURBATION FINITE ELEMENT METHOD FOR SOLVING THE PLANE PROBLEM IN CONSIDERATION OF LINEAR CREEP

Wu Rui-feng, Yang Hai-tian   

  1. Dalian Institute of Technology, Dalian
  • Received:1985-04-09 Online:1988-01-18 Published:1988-01-18

Abstract: In this paper, a method (PFMC) for solving plane problem of linear creep is presented by using perturbation finite element. It can be used in plane problem in consideration of creep, such as reinforced concrete beam, presiressed concrete beam, reinforced concrete cylinder and reinforced concrete tunnel in elastic or visco-elastic medium, as well as underground building and so on.In the presented method, the assumption made in the general increment method that variables remain constant in a divided time interval is not taken. The accuracy is improved and the length of time step becomes larger. The computer storage can be reduced and the calculating efficiency can be increased.Perturbation finite element formulae for four-node quadrilateral isoparametric element including reinforcement are established and five numerical examples are given. As contrasted with the analytical solution, the accuracy is satisfactory.

Key words: Zakharov equation, Arzela-Ascoli theorem, existence

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