KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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p-Version Finite Element Model Based on Equivalent Domain Integral Method for 2-D Cracked Panels

2차원 균열판에서 등가영역적분법에 의한 p-Version 유한요소모델

Sin, Seong-Jin;Hong, Jong-Hyeon;Sin, Byeong-Cheon;U, Gwang-Seong
신성진;홍종현;신병천;우광성

  • Published : 1997.03.31

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Abstract

In this study, an equivalent domain integral (EDI) method is presented to estimate the crack-tip integral parameter, J-value, for two dimension cracked elastic bodies which may quantify the severity of the crack-tip stress fields. The conventional J-integral method based on line integral has been converted to equivalent area or domain integrals by using the divergence theorem. It is noted that the EDI method is very attractive because all the quantities necessary for computation of the domain integrals are readily available in a finite element analysis. The details and its implementation are extened to both h-version finite element model with 8-node isoparametric element and p-version finite element model with high order hierarchic element using Legendre type shape functions. The variations with respect to the different path of domain integrals from the crack-tip front and the choice of S-function have been tested by several examples.

본 연구에서는 2차원 탄성체내에서 발생하는 균열선단에서의 응력집중의 크기를 나타내는 매개변수인 J값을 산정하기 위한 등가영역적분법에 대하여 소개하였다. 선적분형태의 전통적인 J-적분법을 Divergence theorem에 의하여 등가의 면적적분 형태로 전환하게 된다. 영역적분에 필요한 모든 수치들은 유한요소해석의 결과를 별다른 변환과정을 거치지 않고 즉시 적용이 가능하다는 장점이 있다. 본 논문에서는 등가영역적분법에 대한 소개와 아울러 8절점 등매개변수요소를 이용한 h-version 유한요소모델과 르장드르 타입의 형상함수를 사용하는 고차의 계층적요소를 이용한 p-version 유한요소모델이 도입되었다. 영역적분에서 적분경로에 대한 의존성과 적분경로 사이의 보간함수로 사용되는 S-함수의 선택에 따른 값의 변화를 조사하였다.

Keywords

References

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