서지주요정보
각형 개재물의 모서리에 존재하는 계면 균열의 해석 = Analysis of an interfacial crack in the corner of rectangular inclusion
서명 / 저자 각형 개재물의 모서리에 존재하는 계면 균열의 해석 = Analysis of an interfacial crack in the corner of rectangular inclusion / 반용운.
저자명 반용운 ; Pahn, Lyong-Oon
발행사항 [대전 : 한국과학기술원, 1999].
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소장정보

등록번호

8009611

소장위치/청구기호

학술문화관(문화관) 보존서고

DME 99006

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초록정보

A singular stress field develops at the corner of rectangular inclusion which is placed in the medium. It can be assumed that the cracking from this singular point is generated by singular stress field at the corner. When the length of crack is small compared to the other specific length scales characterizing the geometry, a simple universal relation exists between the complex stress intensity factors for the interface crack tip and the singularity intensity factors for the corner singular stress field. In this rectangular inclusion problem, the singular stress field can be characterized by the stress singularity orders and singularity intensity factors for each loading mode as in the typical form $H_{Ⅰ}\gamma^{\lambda 11-1}$ and $H_{Ⅱ}\gamma^{\lambda 21-1}$, where γ is the radius from the corner of rectangular inclusion, $\lambda_{11}-1$ and $\lambda_{21}-1$ are the orders of the stress singularity for mode Ⅰ and mode Ⅱ. And also $H_Ⅰ$ and $H_Ⅱ$ are the singularity intensity factors with respect to mode Ⅰ and mode Ⅱ. Unfortunately, the dominant region of H-field characterized by the only first term has too small to include the K-field. It means that the singular stress field of the corner including the corner crack is not only described by $H_Ⅰ$ and $H_{Ⅱ}$. The next term $H_Ⅰ^*\gamma^{\lambda 21-1}$ for mode Ⅰ is introduced into the eigenfunction expansion in order to expand the H-dominant region. The next term for mode Ⅱ does not contribute to the corner singular stress field of rectangular inclusion. The singularity intensity factor H can be evaluated by M-based mutual integral and the stress intensity factor K can be evaluated by J-based mutual integral. And then we can obtain the universal relation between singular intensity factors H and stress intensity factor K. In the result of this work, it is found that there is a universal relation between the corner singular stress field of the rectangular inclusion expanded by next term in eigenfunction expansion and the crack tip singular stress field from the corner which has the right angle. This universal relation can be used to evaluate the stress intensity factors for the interface crack tip embedded into the corner singular stress field of the different shape of rectangular inclusion having the same corner shape treated in this work. This universal relation must be modified whenever the shape of the corner of rectangular inclusion is changed.

서지기타정보

서지기타정보
청구기호 {DME 99006
형태사항 xii, 77 p. : 삽도 ; 26 cm
언어 한국어
일반주기 저자명의 영문표기 : Lyong-Oon Pahn
지도교수의 한글표기 : 엄윤용
지도교수의 영문표기 : Youn-Young Earmme
수록 잡지명 : "Analysis of a Short Interfacial Crack from the Corner of a Rectangular Inclusion". International Journal of Fracture. Kluwer Academic Publishers (1999)
학위논문 학위논문(박사) - 한국과학기술원 : 기계공학과,
서지주기 참고문헌 : p. 74-77
주제 각형 개재물
특이성 강도계수
특이 응력장
계면 균열
M-적분에 근거한 상호매개 적분
Rectangular inclusion
Singularity intensity factor
Singular stress field
Intefacial crack
M-based mutual integral
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