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조상봉,이창규 경남대학교 신소재연구소 1995 論文集 Vol.5 No.-
임의 형상 단면봉의 비틀림 문제를 해석하기 위한 경계요소법 프로그램을 작성하여 임의 형상 단면봉의 경계요소 해석결과 기존의 해석해 혹은 다른 결과와 비교하여 보았고 잘 일치함을 확인하였다. 균열을 가진 임의 형상 단면봉의 비틀림 문제 해석에 응용하여 응력확대계수를 구하였다. The B.E.M. code for analysis of the torsion problem of a prismatic bar with arbitrary cross-section was made. The numerical results of B.E.M. for the bar with simple cross-section were compared with analytical or other results. Two results coinsided well. The B.E.M. code was applied to analyze the stress intensity factors for the crack problems of a torsion bar.
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균열의 충격해석에 대한 Laplace 변환 2차원 경계요소법의 응용
조상봉,김태규,최선호 대한기계학회 1992 대한기계학회논문집 Vol.16 No.5
본 연구에서는 Laplace 변환법에 의한 2차원 동적 문제의 경계요소 프로그램 을 작성하고, 간단한 모델을 해석하여 프로르램의 정도 및 그 유용성을 검토하고, 응 용문제로 동적하중을 받는 균열문제의 몇 가지 모델에 대하여 변위 외삽법으로 균열의 파괴 역학적 파라미터인 동적응력확대계수(dynamic stress intensity factor)를 구하 여 결과를 검토하여 보고자 한다. Analysis of dynamic or impact problems is very important in engineering fields such as airplanes and automobiles. In the present study, two-dimensional elastodynamic BEM program with Laplace transformation is developed to analyze dynamic or impact problems. Accuracy and efficiency of the BEM program are tested by making the comparision of impact analysis of some models with other's published results. The BEM developed is applied to the impact crack problem and the dynamic stress intensity factors of some impact cracks is obtained by the displacement extrapolation method. It is confirmed to be possible to analyze impact problems accurately with only a little elements in simple models. And also it is found to be careful to use the singular element usually using in static crack problems because that the elastodynamic fundamental solution usually using in static crack problems because that the elastodynamic fundamental solution has more sensitive singularity than the static fundamental solution and to determine the boundary conditions in dynamic problems.
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조상봉,Jin-kwangKim 한국정밀공학회 2002 International Journal of Precision Engineering and Vol.3 No.2
V-notched crack problems can be formulated as eigenvalue problems. The problem of a v-notched crack in anisotropic and/or pseudo-isotropic dissimilar materials was formulated as an eigenvalue problem to discuss stress singularities. The eigenvalue problem was solved by the commercial numerical program; MATHEMATICA. The specific data of eigenvalues possessing the stress singularity were obtained. Stress singularities for v-notched cracks in anisotropic and/or pseudo-isotropic dissimilar materials were discussed according to the relation between wedge angle and material property. It was shown that there are three cases of eigenvalues possessing the stress singularity; one real, two real and one complex.
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이방성 이종재료 내의 V-노치 균열에 대한 응력특이성에 관한 이론적 연구
조상봉 慶南大學校 附設 工業技術硏究所 1997 硏究論文集 Vol.15 No.1
이방성 이종재료 내의 V-노치 균열에 대한 응력특이성과 계수벡터를 구하기 위하여 복소응력함수의 형태를 제안하고 특성방성식 혹은 일반해에서 중복근이 있는 경우에는 복소응력함수를 재고하여 멱대수형의 복소응력함수를 사용하여야함을 보였다. The form of complex stress function was proposed to obtain stress singularities and coefficient vectors for V-notched cracks in anisotropic dissimilar materials. In the case of the characteristic equation or the general solution having repeated roots, it was shown that the complex stress function must be reconsidered and the form of complex stress function is power-logarithmic.
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경계요소법에 의한 이방성 이종재 접합계면 균열의 응력확대계수 해석
조상봉,권재도,김태규 대한기계학회 1993 대한기계학회논문집 Vol.17 No.2
Up to now, most studies are on interface crack problems in isotropic-isotropic dissimilar materials, but it seems to be not so much on anisotropic dissimlar materials. In this study, the stress intensity factors for an interface crack in anisotropic dissimilar materials are analysed using author's proposed extrapolation method by BEM and we have done a parametric study about material properties or shapes of crack affecting to the stress intensity factors. However, as there are not other's comparable numerical results on these anisotropic dissimilar materials to the best of author's knowledge, the reliability of the present results was proved by following two methods. The first is considering the asymptotic characteristic about stress intensity factors for an interface crack in anisotropic materials when the ansiotropic material approachs to the isotropic material. The second is considering the discontinuity of stress intensity factors between of a crack in an identical homogeneous anisotropic material and an interface crack in anisotropic dissimilar materials.
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등방성 이종재료 내의 Ⅴ-노치 균열에 대한 응력강도계수 결정에 관한 연구
조상봉,정휘원,김진광 경남대학교 신소재연구소 1999 論文集 Vol.11 No.-
접합계면 V-노치 균열 문제는 고유치와 고유벡터 문제로 수식화할 수 있다. V-노치 균열첨단에서 응력특이성을 가지는 고유치가 존재한다. 상반일 등고선 적분법(RWCIM)은 고유치와 관련된 고유벡터의 계수를 구하는 한 가지의 방법이다. 상반일 등고선 적분법을 이용하여 접합계면 균열의 응력확대계수를 구하도록 시도하였다. 상반일 등고선 적분법으로 구한 응력확대계수와 경계요소법과 변위외삽법을 이용하여 구한 결과를 비교하였다. An inteiface 17-notched crack problem can be formulated as a eigenvalue problem. there are the eigenvalues which give stress singularities at the V-notched crack tip. The RWCIM is a method of calculating the eigenvector coefficients associated with eigenvalues. Obtaining the stress intensity factors for an interface crack in dissimilar materials was examined by the RWCIM. The results obtained for stress intensity factors using RWCIM were compared with those obtained by using the displacement extrapolation method and the BEM.
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이종재료간 V-노치균열의 응력특이성과 응력강도계수의 특성 및 결정에 관한 연구
조상봉,윤성관 대한기계학회 1992 대한기계학회논문집 Vol.16 No.10
본 연구에서는 이종재료간의 Ⅴ-노치균열의 노치각도 및 재료의 종류에 따른 응력특이성지수와 응력강도 계수 해석에 각각 뉴톤-랍슨법(newtonraphson method), 뉴톤-랍슨법과 최소자승법을 이용한 선점법(collocation method)인 수치해석적 방법을 응용하고, 광탄성 등색선 무늬를 컴퓨터 그래픽하여 응력특이성지수와 응력강도계수가 모우드(mode)에 미치는 특성과 경계요소법(boundary element method)으로 응력해석한 결과로써 선점법을 이용하여 응력강도계수를 해석하고 기존의 결과등과 비교, 검토하 고자 한다. In bonded structures, there are V-notched cracks in dissimilar materials and the stress concentration of these V-notched cracks causes to occur interface cracks in dissimilar materials Therefore the strength evaluation of V-notched cracks in dissimliar materials seems to be important. The stress fields of a V-notched cracks is known as .sigma.$_{ij}$ .var. K $r_{p-1}$,where K is the stress intensity factor and p-1 is the stress singularity. When the distance, r, approaches to 0 at the stress fields of V-notched cracks, the stresses become infinites by two more stress singularities of p-1 and p-1 is no more -0.5. Stress singularities and stress intensity factors for V-notched cracks in dissimilar materials are treated and discussed. The Newton-Raphson method which is an efficient numerical method for solving a non-linear equation is used for solving stress sigularities. And stress intensity factors are solved by the collocation method using the Newton-Raphson and least squares method. The effects of stress intensity factors and stress singularities on stress fields of V-notched cracks in dissimilar materials are studied by using photoelasic isochromatic frings patterns obtained from computer graphics.s.
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