${\Delta}J$-적분을 이용한 점탄성 재료의 피로균열 성장분석

Analysis of Fatigue Crack Growth in a Viscoelastic Material using ${\Delta}J$-integral

  • 유성문 (고려대학교 건축.사회환경공학부) ;
  • 지광습 (고려대학교 건축.사회환경공학부) ;
  • 차우 딘 단 (고려대학교 건축.사회환경공학부) ;
  • 이현종 (세종대학교 토목환경공학과) ;
  • 문성호 (서울과학기술대학교 건설공학부)
  • 투고 : 2010.01.25
  • 심사 : 2010.09.01
  • 발행 : 2010.10.31

초록

본 논문에서는 점탄성 재료의 피로균열 성장을 분석하기 위해 ${\Delta}J$-적분을 이용하였다. J-적분의 계산 시 기존의 수치해석 방법이 아닌 해석적인 적분 해를 도출하여 계산시간을 절감하고 정확도를 크게 높였다. 계산 시 응력확대계수는 특정 균열에 대해 참조하는 방법이 아닌 유한요소해석을 통해 구하는 방법을 사용하였다. 기존의 ${\Delta}K$를 이용한 피로균열 예측과는 달리 크리프 변형계수, 단 두 개의 피로성장 모델 변수만을 가지고 다양한 하중과 하중주기에서의 피로균열 성장을 성공적으로 분석할 수 있었다.

In this paper, ${\Delta}J$-integral is used to analyze fatigue crack growth of viscoelastic material. Using analytical integral value, the J-integral is calculated. So, reduction of calculation time and increase of accuracy are made possible. The stress intensity factor is calculated using the finite element method code. In difference with existed fatigue crack analysis using ${\Delta}K$, we were successfully able to analyze various load amplitude and the fatigue crack of load cycle only with two fatigue crack growth parameters and creep compliance. The analysis gives N-${\alpha}$ curve for simulation of crack growth, and the curve almost corresponds with test results.

키워드

참고문헌

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