p-Version Finite Element Analysis of Cracked Panels Based on Linear Elastic Fracture Mechanics

선형탄성파괴역학 이론에 의한 균열판의 p-Version 유한요소해석

  • 윤영필 (목포전문대 토목공학과) ;
  • 우광성 (전남대학교 토목공학과) ;
  • 박병기 (전남대학교 토목공학과) ;
  • 신영식 (영남대학교 토목공학과)
  • Published : 1993.04.01

Abstract

The p-version crack model based on integrals of Legendre polynomial and virtual crack extension method is proposed with its potential for application to stress intensity factor computations in linear elastic fracture mechanics. The main advantage of this model is that the data preparation effort is minimal because only a small number of elements are used and the high accuracy and the rapid rate of convergence can be achieved in the vicinity of crack tip. There are two important findings from this study. Firstly, the limit value, the strain energy of the exact solution can be estimated with successive three p-version approximations by ascertaining the approximations is entered the asymptotic range. Secondly, the rate of convergence of p-version model is almost twice that of h-version model on the basis of uniform or quasiuniform mesh refinement for the cracked panel problem subjected tension.

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