• Fire Protection Technology
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• s.6
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• pp.27-36
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• 1989

• Computational Structural Engineering
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• v.10 no.4
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• pp.143-154
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• 1997

Astochastic finite element model which reflects both the effect of discontinuities and the uncertainty of material properties in underground rock mass has been developed. Latin Hypercube Sampling technique has been mobilized and compared with the Monte Carlo simulation method. To consider the effect of discontinuities, the joint finite element model, which is known to be suitable to explain faults, cleavage, things of that nature, has been used in this study. To reflect the uncertainty of material properties, multi-random variables are assumed as the joint normal stiffness and the joint shear stiffness, which could be simulated in terms of normal distribution. The developed computer program in this study has been verified by practical example and has been applied to analyze the circular cavern with discontinuous rock mass.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.18 no.7
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• pp.102-108
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• 2017

The phenomenon of technological discontinuity which occurs during technological diffusion and substitution between incumbents and new technology is important to understand the behavior of technology diffusion and substitution of single and multiple technologies. Our research defined the concept of technological discontinuity and developed a model capable of measuring the region of technological discontinuity. Based on a literature review and a model development, we proposed a definition and a model regarding technological discontinuity.The accuracy of the model is verified by applying it on a semiconductor industry case. The technological discontinuity is defined as the region in which both the incumbent and new technology co-exist and the performance of the incumbent technology is better than that of the new technology. In addition, we can model the technological discontinuity using discontinuous time and discontinuous performance. This research will be very useful to understand not only technological discontinuity but also technology diffusion or substitution.

• Proceedings of the Korean Society for Rock Mechanics Conference
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• 1996.03a
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• pp.55-72
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• 1996

암반사면의 안정성은 암반내에 발달된 불연속면의 기하학적 속성과 강도정수에 크게 영향을 받으며, 사면방향에 대한 불연속면들의 상대적인 방향성들은 구조적으로 발생 가능한 붕괴양상을 결정하게 된다. 불연속면을 따라 미끄러짐이 발생하는 암반사면의 불안정성 분석에는 결정론적인 해석(deterministic analysis)과 확률론적인 해석(probabilistic analysis)들을 포함하여 수많은 방법들이 이용되고 있다. (중략)

• Proceedings of the Korean Society for Rock Mechanics Conference
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• 2007.03a
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• pp.234-242
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• 2007

불연속면을 따라 점토 등의 충전물이 포함된 경우에는 불연속면의 방향이 유리하게 작용하 더라도 사면안정에 불안정성을 초래한다. 연구지역의 사면활동은 점토충전물과 풍화토의 경계를 따라서 발생하였다.이것은 물성의 차이를 보이는 경계부분이 존재했기 때문이며,암석에서 엽리 등이 구조적 운동에서 약대로 작용하여 층간의 슬립을 유도하는 현상과 매우 유사하다. 대부분의 해석에서 점토충전물이 존재할 경우에는 하나의 불연속면으로 설정하여 해석한다. 이때의 불연속면은 점토층 내에서의 활동면으로 해석되므로 점토와 원지반과의 경계부에서의 해석 값과는 상당한 차이를 보이게 되고 점토의 물리적 성질에 많이 지배된다. 점토충전물로 인한 활동사면의 안정성 평가 결과는 충전물에 의한 불연속면의 파괴유형에 따른 강도정수에 의해 안전율에 상당한 차이를 보인다.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.375-389
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• 2017

The purpose of this study is to analyze the difference and inter-connectivity between the definition of continuity in school mathematics and the definition of academic mathematics in four perspectives. These difference and inter-connectivity have not analyzed in previous papers. According to this study, the definition of 'continuity and discontinuity at one point' in school mathematics depends on the limit processing but in academic mathematics it depends on the topology of the domain. The target function of the continuous function in school mathematics is a function whose domain is limited to an interval or a union of intervals, but the target function of the continuous function in academic mathematics is all functions. Based on these results, the following two opinions are given in relation to the concept of continuity in school mathematics. First, since the notion of local continuity in school mathematics is based on limit processing, the contents of 2009-revised textbooks that deal with discontinuity at special point not belonging to the domain is appropriate. Here the discontinuity appears as types of infinite discontinuity, removable discontinuity, and step discontinuity. Second, the definition of a general continuous function is proposed to "if there is no discontinuity point in the domain of a function y = f(x), we call the function f a continuous function." This definition allows the discontinuity at special point in non-domain, but is consistent with the definition in academic mathematics.

• Journal of the Korean Geotechnical Society
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• v.18 no.2
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• pp.97-105
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• 2002

Random properties of discontinuities were attributed to the limitation of test methods and lack of obtained data. Therefore, the uncertainties are pervasive and inevitable in rock slope engineering as well as other geotechnical engineering fields. The probabilistic analysis has been proposed to deal properly with the uncertainty. However, previous probabilistic approaches do not take account of the condition of kinematic instability but consider only kinetic instability. In this study, in order to overcome the limitation of the previous studies, the geometric characteristics as well as the shear strength characteristics in discontinuities are taken account into the probabilistic analysis. Then, the new approach to evaluate the probability of failure is suggested. The results of the deterministic analysis which was carried out to compare with the result of the probabilistic analysis, are somewhat different from those of the probabilistic approach. This is because the selected and used data in the deterministic approach do not take account of the random properties of discontinuities.

• Tunnel and Underground Space
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• v.12 no.3
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• pp.158-170
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• 2002

Since the development of Discontinuous Deformation Analysis (DDA) by Shi (1984), there has been much improvement in the theory and programs. These, however, are all based on the assumption of a two-dimensional plane strain or plane stress state; and because a rock block system is a three-dimensional problem, a two-dimensional analysis has limited application. So a three-dimensional analysis is required in the design of rock slopes and underground spaces where three-dimensional discontinuities dominate stability. In this study three-dimensional DDA program is developed using the Shi's two-dimensional theory and program, and the two cases of three-dimensional block are analysed. The program is applied to one sliding-face blocks and wedge sliding and it gives the good results comparing to the exact solution. Multi-block cases will be analysed for many other application soon.

• Tunnel and Underground Space
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• v.25 no.1
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• pp.68-75
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• 2015

Rock mass includes such discontinuities as fault, joint, bedding, crack, schistosity, cleavage. The rock mass behavior, therefore, is influenced by the discontinuity behavior. In this study, a stability and deformation analysis method considering discontinuities in rock mass is proposed, and then applied to the rock collapse disaster site. As the method, the stability analysis by the stereographic projection method was carried out in an actual site, the deformation analysis program by the finite element method including the joint element was developed, and performed. To demonstrate the applicability of this developed stability and deformation analysis method considering discontinuities in rock mass, the analysis results are examined and compared with the failure behavior at the rock mass.

• Journal of the Korean Data and Information Science Society
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• v.11 no.2
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• pp.189-199
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• 2000

A major deficiency of laboratory testing of rock structure is that the structures are limited in size and therefore present a very small and highly selective sample of the rock mass from which were removed. In a typical engineering project, the samples tested in the laboratory represent only a very small fraction of one percent of the volume of the rock mass. In this paper, we calculate the representative orientation of the resultant vector, the measure of the degree of clustering, the volume of rock mass, the trace length of discontinuity spacing under underlying distributions. And we generate the random fracture networks using real data. We propose the calculating the trace length.