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뫼비우스 사상을 이용한 임의의 3차원 평면균열에서의 응력확대계수 계산
안득만,An, Deuk-Man 대한기계학회 2001 大韓機械學會論文集A Vol.25 No.4
In this paper the stress intensity factor under uniform pressure in the arbitrarily-shaped plane crack configuration transformed elliptic crack by Mobius mapping are determined. Using Dysons formula Boussinesq-Papkovich potentials for mode I deformation are constructed. In the example the stress intensity factors are approximately calculated by least square method.
반 무한 평판에 존재하는 반 무한 균열에서 엄밀 해를 이용한 응력확대계수 계산
안득만(Deuk Man An) 대한기계학회 2017 大韓機械學會論文集A Vol.41 No.1
본 논문은 등방성 재료로 된 반 무한 평판에 존재하는 반 무한 균열에서 엄밀해를 구성하여 응력확대계수를 계산하였다. H. Tada, P. Paris, G. Irwin의 “The Stress Analysis of Cracks Handbook”에 수록된 공식과 Bueckner의 공식에 엄밀해로부터 구한 균열 면에 작용하는 표면력을 적용하여 응력확대계수를 계산하였다. Bueckner의 공식은 엄밀해와 일치하였고 Tada의 Handbook에 수록된 공식은 엄밀해와 일치하지 않았다. 따라서 Tada의 공식이 오류임을 알 수 있다. In this study, we develop the exact field of mode Ⅰ in an infinitely deep crack in a half-plane. Using this field, we obtain the exact stress intensity factor KⅠ. From the tractions on the crack faces induced by exact field, we calculate the stress intensity factor of this field. We compare the results with the stress intensity factor calculated using Bueckner’s weight function formula and that calculated by using Tada’s formula listed in “The Stress Analysis of Cracks Handbook” It was found that Bueckner’s formula yields accurate results. However, the results obtained using Tada’s formula exhibit inaccurate behavior.
가중함수이론을 이용한 선형이방성재료에서의 Mode Ⅲ 균열해석
안득만(Deuk-Man An),권순홍(Sun-Hong Kwon) 한국해양공학회 2009 韓國海洋工學會誌 Vol.23 No.1
In this paper, a weight function theory for the calculation of the mode Ⅲ stress intensity factor in a rectilinear anisotropic body is formulated. This formulation employs Lekhnitskii's formalism for two dimensional anisotropic materilas. To illustrate the method used for the weight function theory, we calculated the mode Ⅲ stress intensity factor in a single edge-notched configuration.
타원균열에 작용하는 일반적인 하중에서의 응력확대계수 계산
안득만,An, Deuk-Man 대한기계학회 1997 大韓機械學會論文集A Vol.21 No.2
In this paper weight function theory is extended to the determination of the stress intensity factors for the mode I in elliptic crack. For the calculation of the fundamental fields Poisson's theorem and Ferrers's method were employed. Fundamental fields are constructed by single layer potentials with surface density of crack harmonic fundamental polynimials. Crack harmonic fundamental polynimials up to order four were given explicitly. As an example of the application of the weight function theory the stress intensity factors along crack tips in nearly penny-shaped elliptic crack are calculated.
횡등방성 압전재료에서의 가중함수이론을 이용한 확대계수 계산
손인호(In Ho Son),안득만(Deuk Man An) 대한기계학회 2012 大韓機械學會論文集A Vol.36 No.2
파괴역학에서 가중함수는 응력확대계수를 계산하기 위하여 사용되어진다. 본 논문에서는 균열을 가진 횡등방성 압전재료에 대한 전기-기계적 분석을 행하여 평면변형률 상태의 압전문제를 Leknitskii 해석법으로 풀었고 가중함수이론을 압전재료에 확대 적용하였다. 가중함수이론을 이용하여 응력확대계수와 전기변위확대계수를 구하였다. In fracture mechanics, the weight function can be used for calculating stress intensity factors. In this paper, a two-dimensional electroelastic analysis is performed on a transversely isotropic piezoelectric material with an open crack. A plane strain formulation of the piezoelectric problem is solved within the Leknitskii formalism. Weight function theory is extended to piezoelectric materials. The stress intensity factors and electric displacement intensity factor are calculated by the weight function theory.
균열을 가진 압전재료에 대한 면외 변형에서의 가중함수이론
손인호(In-Ho Son),안득만(Deuk-Man An) 한국해양공학회 2010 韓國海洋工學會誌 Vol.24 No.3
In this paper, an electroelastic analysis is performed on a piezoelectric material with an open crack in anti-plane deformation. Bueckner's weight function theory is extended to piezoelectric materials in anti-plane deformation. The stress intensity factors and electric displacement intensity factor are calculated by the weight function theory.