• Title/Summary/Keyword: 해석기하

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Study on the Coefficient of Thermal Expansion for Composites Containing 2-Dimensional Ellipsoidal Inclusions (2차원 타원형의 충전제를 함유하는 복합재료의 열팽창 계수 연구)

  • Lee, Kee-Yoon;Kim, Kyung-Hwan;Jeoung, Sun-Kyoung;Jeon, Hyoung-Jin;Joo, Sang-Il
    • Polymer(Korea)
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    • v.31 no.2
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    • pp.160-167
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    • 2007
  • This paper proposes a model for the solutions predicting the coefficient of thermal expansion of composites including fiber-like shaped$(a_1>a_2=a_3)$ and disk-like shaped$(a_1=a_2>a_3)$ inclusions like two dimensional geometries, which was analyzed by one axis and a single aspect ratio, $(\rho_\alpha=a_1/a_3)$. The analysis follows the procedure developed for elastic moduli by using the Lee and Paul's approach. The effects of the aspect ratio on the coefficient of thermal expansion of composites containing aligned isotropic inclusions are examined. This model should be limited to analyze the composites with unidirectionally aligned inclusions and with complete binding to each other of both matrix and inclusions having homogeneous properties. The longitudinal coefficients of thermal expansion $\alpha_{11}$ decrease and approach the coefficient of thermal expansion of filler, as the aspect ratios increase. However, the transverse coefficients of thermal expansion $\alpha_{33}$ increase or decrease with the aspect ratios.

Dependency of Tangential Friction Angle and Cohesion of Non-linear Failure Criteria on the Intermediate Principal Stress (비선형 암석 파괴조건식의 접선 마찰각과 점착력의 중간주응력 의존성)

  • Lee, Youn-Kyou;Choi, Byung-Hee
    • Tunnel and Underground Space
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    • v.23 no.3
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    • pp.219-227
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    • 2013
  • Although Mohr-Coulomb failure criterion has limitations in that it is a linear criterion and the effect of the intermediate principal stress on failure is ignored, this criterion has been widely accepted in rock mechanics design. In order to overcome these shortcomings, the Hoek-Brown failure criterion was introduced and recently a number of 3-D failure criteria incorporating the effect of the intermediate principal stress on failure have been proposed. However, in many rock mechanics designs, the possible failure of rock mass is still evaluated based on Mohr-Coulomb criterion and most of practitioners are accustomed to understanding the strength of rock mass in terms of the internal friction angle and cohesion. Therefore, if the equivalent Mohr-Coulomb strength parameters of the advanced failure criteria are calculated, it is possible to take advantage of the advanced failure criteria in the framework of the Mohr-Coulomb criterion. In this study, a method expressing the tangential Mohr-Coulomb strength parameters in terms of the stress invariant is proposed and it is applied to the generalized Hoek-Brown criterion and the HB-WW criterion. In addition, a new approach describing the geometric meaning of the ${\sigma}_2$-dependency of failure criteria in 3-D principal stress space is proposed. Implementation examples of the proposed method show that the influence of the intermediate principal stress on the tangential friction angle and cohesion of the HB-WW criterion is considerable, which is not the case for the 2-D failure criterion.

Relationship between Water Stable Aggregate and Macroporosity in Upland Soils Calculated by Fragmentation Fractal Dimension (파쇄프랙탈차원을 이용한 밭토양 내수성입단과 대공극률의 관계 평가)

  • Han, Kyung-Hwa;Cho, Hyun-Jun;Lee, Hyup-Sung;Hur, Seung-Oh;Ha, Sang-Keun
    • Korean Journal of Soil Science and Fertilizer
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    • v.42 no.1
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    • pp.58-64
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    • 2009
  • The objectives of this study were to investigate the aggregate fragmentation in wet-sieving and to evaluate the relationship between the aggregate fragmentation fractal dimension and macro-porosity of upland soils, using three different textural types of soils including Gopyeng series (Fine, Typic Hapludalfs), Gyuam series (Fine silty over coarse silty, Fluvaquentic Eutrudepts), and Jungdong series (Coarse loamy, Typic Udifluvents) located in Gyeonggi province. Undisturbed soil samples with five replicates were seasonally sampled and used for measuring water stable aggregate, macropores, and physico-chemical properties of soils. The aggregate stability in wet-sieving was digitalized as three types of fragmentation fractal dimension ($D_f$), geometric mean diameter (GMD), and mean weight diameter (MWD). $D_f$ had higher correlation with GMD than with MWD. Seasonal aggregate stability showed the highest values in summer, and decreased in the order of spring and autumn. The macroporosity had higher in topsoil, in autumn, and in ridge, than in plow pan layer, in summer, and in row, respectively. The relationship between $D_f$ and macroporosity, especially more than 99 m, showed high correlation only in soils with $D_f$ less than 3.1, which means more aggregated soils compared to soils with $D_f$ more than 3.1. Besides, in the soils with the fractal dimension less than 3.1, the power function relation between saturated hydraulic conductivity and macroporosity more than 99 m had relatively high determinant coefficient, and vice versa. Therefore, it could be thought that fragmentation fractal dimension is available for confirming macroporosity induced from aggregation.

Seismic Weathering Correction Using IRS Approach: A Test to the Synthetic Data of Cheongju Granitic Bodies (IRS(간섭 굴절보정)를 이용한 탄성파 풍화대 보정: 청주 화강암체에 대한 적용)

  • Kang, Yu-Gyeong;Sa, Jin-Hyeon;Kim, Ji-Soo;Kim, Jong-Woo
    • The Journal of Engineering Geology
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    • v.29 no.2
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    • pp.153-162
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    • 2019
  • Rapid variations in the geometry (i.e., thickness) of the refractor and low velocities affect greatly the imaging of the reflectors of land seismic data. Conventional solutions to obtain the weathering models utilizes first break picking method, which requires time consuming steps and causes the human error in picking the first arrivals. A new interferometric approach (interferometric refraction statics, IRS) which utilizes the first arrival signal (S/N enhanced by refraction convolution stack) instead of first break picking, is tested in this study to the synthetic data from the velocity structure provided by surface geophysics (refraction, MASW) and borehole geophysics (tomography, SPS logging) for the Cheongju granitic bodies. The results of IRS approach are found to be better than the ones from conventional first break picking in terms of continuities and horizontal resolution of the reflectors. The unresolved long-wavelength statics in brute stack are much removed by IRS weathering correction and the overlying refractors (the base of shallow weathering zone) are incidentally delineated in the refraction convolution stack.

A Study on the Morphological Analysis of Identity in the Local Government of Gyeonggi Province - A Study of 31 Local Governments in Gyeonggi Province - (경기도 지자체 도시 아이덴티티의 형태론적 상징유형분석 연구 - 경기도 31개 지자체 심볼마크를 중심으로 -)

  • Kang, Do-eun;Kim, Myoun
    • Journal of Communication Design
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    • v.65
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    • pp.170-181
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    • 2018
  • Currently, urban identity is a corporate management strategy of the past, and it includes the unique history and cultural heritage of the region, and it is expected to enhance competitiveness and locality. In response, the city's identity design of 31 municipalities in Gyeonggi Province is moving away from the past, building a futuristic, concise and modern image, and building differentiated identity using geometric artificial motifs. However, despite the presence of urban identity in the past, Symbolmark's boundaries and benchmarks are becoming increasingly ambiguous as it replaces CI or acts as CI and BI by developing new BIs instead of renewals. Moreover, there are cases where the slogan containing vision is used as BI, which requires professional CIP management by presenting the status analysis and direction of municipal governments in Gyeonggi Province. Thus, in this study, the theoretical background analysis and academic study of 31 municipalities in Gyeonggi Province were conducted, and the final analysis space was analyzed by schematizing how the essential meaning of symbolism is expressed and interpreted.

On bi(必, necessity) and xianzhi(先知, a priori knowledge) of Mojing (『묵경』에 있어서 '선지(先知)'와 '필(必)' 개념의 문제)

  • Chong, Chaehyun
    • (The)Study of the Eastern Classic
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    • no.35
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    • pp.275-295
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    • 2009
  • The aim of this paper is to reject Graham's interpretation of bi (必) and xianzhi (先知) of Later Mohists' Mojing ("墨經") as logical necessity and a priori knowledge respectively. Graham's interpretations of them are based on his beliefs that Mojing distinguishes lun (論), the art of description from bian (辯), the art of inference in the Mohist disciplines and that the latter art should be seen as such a rigorous proof as Euclidean geometry even though it is not a Western formal logic. His beliefs also start from his distinguishing 'knowledge of names' from 'knowledge of conjunction of names and objects' according to the objects of knowledge. In my reading, the art of description and the art of inference, however, can't be sharply distinguished each other in Mojing and bi and xianzhi should be taken as suggesting both a normative necessity and an empirical necessity. A normative necessity is derived from 'normative theory of definition' which comes form the theory of rectification of names in China. The normative theory of definition, unlike the descriptive theory of definition, defines terms normatively rather than descriptively. For example, although such a definition of father, 'father is beneficient', has the form of being descriptive, but it actually is prescriptive and therefore means 'father should be beneficient'. Through this normative theory of definition, empirical knowledge, as long as it is a knowledge, is seen as necessary and so can't be wrong. To conclude, for Mohists an empirical knowledge is always a basis of an inferential knowledge or a priori knowledge, so Mohists' a priori knowledge is not really a fundamental knowledge and its necessity therefore is nothing but both a normative necessity and an empirical necessity.

Aristotle's Static World and Traditional Education (아리스토텔레스의 정적인 세계와 전통적인 교육)

  • Oh, Jun-Young;Son, Yeon-A
    • Journal of the Korean Society of Earth Science Education
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    • v.15 no.2
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    • pp.158-170
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    • 2022
  • The purpose of this study is to understand the characteristics of Aristotle's view of nature that is, the static view of the universe, and find implications for education. Plato sought to interpret the natural world using a rational approach rather than an incomplete observation, in terms of from the perspective of geometry and mathematical regularity, as the best way to understand the world. On the other hand, Aristotle believed that we could understand the world by observing what we see. This world is a static worldview full of the purpose of the individual with a sense of purposive legitimacy. In addition, the natural motion of earthly objects and celestial bodies, which are natural movements towards the world of order, are the original actions. Aristotle thought that, given the opportunity, all natural things would carry out some movement, that is, their natural movement. Above all, the world that Plato and Aristotle built is a static universe. It is possible to fully grasp the world by approaching the objective nature that exists independently of human being with human reason and observation. After all, for Aristotle, like Plato, their belief that the natural world was subject to regular and orderly laws of nature, despite the complexity of what seemed to be an embarrassingly continual change, became the basis of Western thought. Since the universe, the metaphysical perspective of ancient Greece and modern philosophy, relies on the development of a dichotomy of understanding (cutting branches) into what has already been completed or planned, ideal and inevitable, so it is the basis of traditional teaching-learning that does not value learner's opinions.

An Analytical Study on Determination of Dimensions of Drystone Masonry Retaining Walls (석축의 단면결정에 대한 해석적 연구)

  • Seung-Hyun Lee
    • Journal of the Society of Disaster Information
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    • v.19 no.1
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    • pp.60-68
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    • 2023
  • Purpose: In order to find out stability condition which governs design of drystone masonry retaining walls and changing patterns of installed width of blocks of the wall for each stability conditions, typical wall was assumed and designed. Method: For the purpose of this study, 10 m high drystone masonry retaining wall with general block size and soil properties were considered and dimensions of the wall were determined by applying stability conditions of sliding and overturning and the design results were compared with each other. Result: According to the design results, installed width of blocks determined by considering stability of sliding were greatly less than those determined by considering stability of overturning and these differences were not decreased noticeably even though same values of factors of safety for sliding and overturning were applied. Between the two methods of determining the installed width of blocks, it could be seen that the method of considering failure wedge of lower part of overturning parts of the wall governed the design instead of considering horizontal base of overturning parts of the wall. Conclusion: In case of considering failure wedge of lower part of overturning parts of the wall, it could be seen that the installed width of blocks increased as the inclination angle of failure wedge increased. In case of considering overturning at the lower part of the wall with certain assumed inclination angle of failure wedge, it could be seen that installed width of blocks decreased as the inclination angle of failure wedge decreased by geometric restrictions of the wall.

Ecological Niche Overlap Between Quercus acutissima and Q. dentata with Soil Moisture and Nutrient Gradients (상수리나무와 떡갈나무의 수분과 영양소 구배에 따른 생태지위 중복역)

  • Kyeong Mi Cho;Ara Seol;Yoon Kyung Choi;Se Hee Kim;Eui Joo Kim;Yoon Seo Kim;Jung Min Lee;Ju Seon Lee;Gyu Ri Kim;Ji Won Park;Jae Hoon Park;Young Han You
    • Journal of Wetlands Research
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    • v.25 no.2
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    • pp.159-165
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    • 2023
  • This study measured the ecological niche overlap between two deciduous oak species(Quercus acutissmia and Q. dentata) according to the change in growth responses after treating with the moisture and nutrient contents of the soil at four gradients, and interpreted the degree of competition between the two oak species by ordination method. In the moisture environment gradient, the ecological niche overlap of the two species was high in the photosynthesis-related leaf organs and low in plant architecture such as shoot length. In addition, in case of competition between two oaks, Q. dentata was remarkably dominant in soil moisture gradient, but Q. acutissimia slightly was slightly advantageous over Q. dentata in the soil nutrient gradient. These results show that even in a similar taxonomical group growing in a similar habitat, the response to the organ system of the plant varies depending on the type of environment factor, resulting in different competitive differences among plants.

Punching Shear Failure in Pile-Supported Embankments (말뚝으로 지지된 성토지반 내 펀칭전단파괴)

  • Hong, Won-Pyo;Song, Jei-Sang;Hong, Seong-Won
    • Journal of the Korean Geotechnical Society
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    • v.26 no.3
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    • pp.35-45
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    • 2010
  • The mechanism of load transfer by punching shear in pile-supported embankments is investigated. Based on the geometric configuration of the punching shear observed in sand fills on soft ground, a theoretical analysis is carried out to predict the embankment loads transferred on a cap beam according to punching shear developed in pile-supported embankments. The equation presented by the theoretical analysis was able to consider the effect of various factors affecting the vertical loads transferred on the cap beam. The reliability of the presented theoretical equation is investigated by comparing it with the results of a series of model tests. The model tests were performed on cap beams, which had two types of width; one is narrow width and the other is wide width. Sand filling was performed through seven steps. Two types of loading pattern were applied at each filling step; one is the long-term loading, in which sand fills at each filling step were kept for 24 hours, the other is the short-term loading, in which sand fills at each filling step were kept for 2 hours. The vertical loads measured in all model tests show good agreement with the ones predicted by the theoretical equation. Finally, the predicted vertical loads also show good agreement with the vertical loads measured in a well-instrumented pile-supported embankment in field, where cap beams were placed on too wide space.