대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제34권9호
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  • Pages.1287-1292
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  • 2010
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  • 1226-4873(pISSN)
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  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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하이브리드 기법에 의한 경사균열 팁 주위의 광탄성 응력장 해석

Analysis of Photoelastic Stress Field Around Inclined Crack Tip by Using Hybrid Technique

  • 첸레이 (군산대학교 기계공학과) ;
  • 서진 (군산대학교 기계공학과) ;
  • 이병희 (군산대학교 기계공학과) ;
  • 김명수 (군산대학교 전자공학과) ;
  • 백태현 (군산대학교 기계공학과)
  • Chen, Lei (Dept. of Mechanical Engineering, Kunsan Nat'l Univ.) ;
  • Seo, Jin (Dept. of Mechanical Engineering, Kunsan Nat'l Univ.) ;
  • Lee, Byung-Hee (Dept. of Mechanical Engineering, Kunsan Nat'l Univ.) ;
  • Kim, Myung-Soo (Dept. of Electronics, Kunsan Nat'l Univ.) ;
  • Baek, Tae-Hyun (Dept. of Mechanical Engineering, Kunsan Nat'l Univ.)
  • Received : 2010.06.03
  • Accepted : 2010.07.26
  • Published : 2010.09.01
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Abstract

본 연구에서는 균열선단 주위의 응력장을 균열선단으로부터 떨어진 일직선상에서 유한요소법에 의해 계산된 광탄성 등색프린지 차수와 급수형 등각사상 맵핑함수를 이용하여 해석하였다. 해석된 광탄성 응력장을 실제의 광탄성프린지와 비교하였다. 정성적인 비교가 용이하도록 디지털 영상처리에 의해 등색프린지 패턴을 2 배로 증식시키고, 증식된 프린지를 다시 세선처리하여 서로 비교하였다. 유한요소법으로 계산된 프린지 차수를 이용한 하이브리드 응력장 해석에 의해 계산된 프린지와 광탄성 실험에 의한 실제의 프린지를 정성적이고 정량적인 비교를 하였다. 입력된 변위와 계산된 변위의 퍼센트 오차는 18 개의 데이터 모두 6.0% 이하로 서로 일치하였다. 또한 하이브리드 기법에 의한 정규화시킨 응력확대계수 $K_I$ 및 $K_{II}$는 유한요소법과 경험식으로 계산된 값에 근접하였다.

In this paper, a hybrid technique is presented. First, the isochromatic fringe data of a given set of points are calculated by the finite element method and are used as input data in complex variable formulations. Then the numerical model of the specimen with a central inclined crack is transformed from the physical plane to the complex plane by conformal mapping. The stress field is analyzed and the mixed-mode stress intensity factors are calculated for this complex plane. The stress intensity factors are calculated by the finite element method as well as by a theoretical method and compared with each other. In order to conveniently compare these values with each other, both actual and regenerated photoelastic fringe patterns are multiplied by a factor of two and sharpened by digital image processing.

Keywords

References

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  2. Influence of Stress Shape Function on Analysis of Contact Problem Using Hybrid Photoelasticity vol.37, pp.3, 2013, https://doi.org/10.3795/KSME-A.2013.37.3.345