• 제목/요약/키워드: Linear Structure Relationships

검색결과 78건 처리시간 0.023초

Mechanical Properties of Hydrated Cement Paste: Development of Structure-property Relationships

  • Ghebrab, Tewodros T.;Soroushian, Parviz
    • International Journal of Concrete Structures and Materials
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    • 제4권1호
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    • pp.37-43
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    • 2010
  • Theoretical models based on modern interpretations of the morphology and interactions of cement hydration products are developed for prediction of the mechanical properties of hydrated cement paste (hcp). The models are based on the emerging nanostructural vision of calcium silicate hydrate (C-S-H) morphology, and account for the intermolecular interactions between nano-scale calcium C-S-H particles. The models also incorporate the effects of capillary porosity and microcracking within hydrated cement paste. The intrinsic modulus of elasticity and tensile strength of hydrated cement paste are determined based on intermolecular interactions between C-S-H nano-particles. Modeling of fracture toughness indicates that frictional pull-out of the micro-scale calcium hydroxide (CH) platelets makes major contributions to the fracture energy of hcp. A tensile strength model was developed for hcp based on the linear elastic fracture mechanics theories. The predicted theoretical models are in reasonable agreements with empirical models developed based on the experimental performance of hcp.

Permeability and Consolidation Characteristics on Clayey Sand Soils (점토질 모래의 투수 및 압밀 특성 평가)

  • Kim, Kwang-Kyun;Park, Du-Hee;Chang, Jae-Hoon
    • Proceedings of the Korean Geotechical Society Conference
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    • 한국지반공학회 2010년도 춘계 학술발표회
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    • pp.971-980
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    • 2010
  • Evaluation of permeability and coefficient of consolidation of clayey sand is critical to analyze ground stability or environmental problems such as diffusion and dispersion in groundwater flow. Permeability tests using a flexible wall permeameter were performed to derive the coefficient of consolidation and permeability of reconstituted soil samples with various mixing ratios of kaolin clays and two different types of sands, Jumunjin sand and Ottawa sand. The test results indicated that coefficient of consolidation and permeability in log scale have linear relationships with clay contents in low clay mixing ratio. It is also recognized that coefficient of consolidation and permeability of sand and clay mixture are also dependent on the soil structure.

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Measurement of Stress Intensity Factor of Orthotropic Material Using SPATE (SPATE에 의한 직교이방성체의 응력확대계수 측정)

  • Hwang, Jae-Seok;Suh, Jae-Guk;Lee, Hyo-Jae;Nam, Jeong-Hwan;Rpwlands, R.E.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • 제20권10호
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    • pp.3224-3233
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    • 1996
  • SPATE(Stress Pattern Analysis by Thermal Emission) can be effectively used to analyze the stress distribution of the orthotropic structure under the repeated load by non-contact. In this research, the measuring conception and method of stress intensity factor of orthotropic material using SPATE are suggested. The relationships between the maximum values of SPATE signal and $1/\sqrt{X'}$ (or $1/\sqrt{y'}$) are theoretically established in the vicinity of crack tip of the orthotropic material. It is certified through SPATE experiment that their linear quality is very excellent.

Estimation for Retention Factor of Isoflavones in Physico-Chemical Properties

  • Lee, Seung-Ki;Row, Kyung-Ho
    • Bulletin of the Korean Chemical Society
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    • 제24권9호
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    • pp.1265-1268
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    • 2003
  • The estimation of retention factors by correlation equations with physico-chmical properties maybe helpful in chromatographic work. The physico-chemical properties were water solubility (S), hydrophobicity (P), total energy ($E_t$), connectivity index 1 ($^1{\chi}$), hydrophilic-lipophlic balance (x) and hydrophilic surface area (h) of isoflavones. The retention factors were experimentally measured by RP-HPLC. Especially, the empirical regulations of water solubility and hydrophobicity were expressed in a linear form. The equation between retention factors and various physico-chemical properties of isoflavones was suggested as $k = a_0 + a_1\;log S + a_2log\;P^Q + a_3(E_t) + a_4(^1{\chi}) + a_5(x) + a_6(h)$, and the correlation coefficients estimated were relatively higher than 0.95. The empirical equations might be successfully used for a prediction of the various chromatographic characteristics of substances, with a similar chemical structure.

The Relationship between the User's Perception of Socio-cultural Attributes and the Spatial Structures of Dwelling Spaces - a Comparative Study between Korean and German Housings - (거주자의 대 사회적 개념과 주거공간의 영역별 구성체계와의 관계 - 한국과 독일의 주거형태학적 비교관찰을 통하여 -)

  • 전남일
    • Journal of the Korean housing association
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    • 제13권5호
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    • pp.31-42
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    • 2002
  • This comparative study between Korean and German housings aims at understanding different structural systems in the indoor and outdoor spaces, depending upon the user′s perception of the socio-cultural attributes. The analysis starts with four alternative contrary assumptions, that appear in morphological forms of dwelling; 1) linear distribution vs. areal distribution of residential districts, 2) mirror system vs. comb system in the layout of plot plans 3) organization of front vs. back outdoor spaces and 4) opening vs. closing in the indoor spaces. A clear difference is found between Korean and German samples in view of public and private relationships between indoor and outdoor spaces as well as the intermediate space. In the korean housing there always exists a symbolic and psychological territory of a certain sphere. On the other hand, outdoor space passes through various phases only to form a certain hierarchy even in a private space and, thereby, sets a boundary between private and public areas. In the case of Germany, the building itself draws a clear line between private and public outdoor spaces, and therefore the outdoor space has a "front" and "back". Thus, Germany′s private space may face a genuine public space and street, which is rare in the Korean housing. Although the layout of indoor space in the korean housing tends to be open, such an openness may be outstanding in living and dining spaces, kitchen and various accesses to rooms. In the case of Germany, such indoor spaces are usually closed to each other. Thus corridors act to separate these spaces. Such differences are analysed to be due to the different perceptions of interpersonal and socio-cultural attributes as intra-family and inter-neighbor relationships or communications.

ON POSITIVE DEFINITE SOLUTIONS OF A CLASS OF NONLINEAR MATRIX EQUATION

  • Fang, Liang;Liu, San-Yang;Yin, Xiao-Yan
    • Bulletin of the Korean Mathematical Society
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    • 제55권2호
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    • pp.431-448
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    • 2018
  • This paper is concerned with the positive definite solutions of the nonlinear matrix equation $X-A^*{\bar{X}}^{-1}A=Q$, where A, Q are given complex matrices with Q positive definite. We show that such a matrix equation always has a unique positive definite solution and if A is nonsingular, it also has a unique negative definite solution. Moreover, based on Sherman-Morrison-Woodbury formula, we derive elegant relationships between solutions of $X-A^*{\bar{X}}^{-1}A=I$ and the well-studied standard nonlinear matrix equation $Y+B^*Y^{-1}B=Q$, where B, Q are uniquely determined by A. Then several effective numerical algorithms for the unique positive definite solution of $X-A^*{\bar{X}}^{-1}A=Q$ with linear or quadratic convergence rate such as inverse-free fixed-point iteration, structure-preserving doubling algorithm, Newton algorithm are proposed. Numerical examples are presented to illustrate the effectiveness of all the theoretical results and the behavior of the considered algorithms.

Relationship between Aboveground Biomass and Measures of Structure and Species Diversity in Quercus mongolica-Dominated Forest, Mt. Jeombong (점봉산 신갈나무군락의 생물종 다양성, 구조 다양성과 지상부 생물량의 관계에 대한 연구)

  • Jeong, Heon Mo;Jang, Inyoung;Hong, Seungbum
    • Korean Journal of Environment and Ecology
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    • 제30권6호
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    • pp.1022-1031
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    • 2016
  • Relationships of standing biomass with biodiversity and structural diversity were examined in the Quercus mongolica-dominated forest in Mt. Jeombong, Gangwon-do. We examined the standing biomass of the Q. mongolia community ($311.1ton{\cdot}ha^{-1}$) from 2004 to 2013, and the observed major species were Q. mongoilca, Carpinus cordata, Tilia amurensis whose standing biomasses were $206.3ton{\cdot}ha^{-1}$ (66.3%), $36.9ton{\cdot}ha^{-1}$ (11.9%), and $30.6ton{\cdot}ha^{-1}$ (9.8%), respectively. Although the number of Q. mongolica individuals was very small compared with total density, the reason that Q. mongolica showed the most biomass than other species is due to greater average diameter at breast height (DBH) and the higher number of $DBH{\geq}50cm$ individuals. We calculated the range of Shannon index (H') and Shannon evenness (J') in the Q. mongolica community, and they were gradually increased in time, showing 2.015~2.166, 0.673~0.736, respectively. Their H' and J' showed positive linear relationships with their standing biomass. This indicates that the spatial distribution of the standing biomass in Q. mongoilca community becomes more homogeneous with time and this homogenization appears in various species in the community. In addition, we estimated biomass-species index (BS) and abundance-biomass-speciesdiversity (ABS) and they also showed gradual increase in time, ranging from 3.746 to 3.811 and from 4.781 to 5.028, respectively. Their indices showed positive linear relationships with the standing biomass. This can be explained from the observations of variations in standing biomass with tree diameters as the differences in the average standing biomass in the community have reduced gradually in time. Moreover, it is expected that increase in the structure diversity of the Q. mongoilca community enhances the efficiency in carbon sequestration and productivity, so the community can be developed to a more sustainable ecosystem with more abundant resources. Thus, applications of uneven-aged plantations with considerations of local ecological properties can be a very efficient reforestation method to ensure stable support of biodiversity and productivity.

A Test for Nonlinear Causality and Its Application to Money, Production and Prices (통화(通貨)·생산(生産)·물가(物價)의 비선형인과관계(非線型因果關係) 검정(檢定))

  • Baek, Ehung-gi
    • KDI Journal of Economic Policy
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    • 제13권4호
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    • pp.117-140
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    • 1991
  • The purpose of this paper is primarily to introduce a nonparametric statistical tool developed by Baek and Brock to detect a unidirectional causal ordering between two economic variables and apply it to interesting macroeconomic relationships among money, production and prices. It can be applied to any other causal structure, for instance, defense spending and economic performance, stock market index and market interest rates etc. A key building block of the test for nonlinear Granger causality used in this paper is the correlation. The main emphasis is put on nonlinear causal structure rather than a linear one because the conventional F-test provides high power against the linear causal relationship. Based on asymptotic normality of our test statistic, the nonlinear causality test is finally derived. Size of the test is reported for some parameters. When it is applied to a money, production and prices model, some evidences of nonlinear causality are found by the corrected size of the test. For instance, nonlinear causal relationships between production and prices are demonstrated in both directions, however, these results were ignored by the conventional F-test. A similar results between money and prices are obtained at high lag variables.

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Pounding Characteristics of a Bridge Superstructure on Rubber Bearings (교량 상부구조물의 탄성받침 설치에 따른 충돌특성 분석)

  • Choi, Hyoung-Suk;Kim, Jung-Woo;Gong, Yeong-I;Cheung, Jin-Hwan;Kim, In-Tae
    • Journal of the Earthquake Engineering Society of Korea
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    • 제15권4호
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    • pp.13-21
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    • 2011
  • Seismic structure pounding between adjacent superstructures may induce the destruction of pier and bridge superstructures and cause local damage that leads to the collapse of the whole bridge system. The pounding problem is related to the expansion of joints, gap distance and seismic response of the abutments. In this research, methods of the contact element approach, the linear spring model, the Kelvin-Voigt model and the Hertz model were studied to analyse the pounding characteristics. The shaking table test for a model specimen such as a bridge superstructure with elastomeric bearings was performed to evaluate the contact element approach methods. Relationships between the time history response from the numerical analysis results and the measured response from the shaking table test are compared. The experimental results were not well matched with the numerical analysis results using the existing pounding stiffness models. Therefore, in this study, coefficients are proposed to calculate the appropriate pounding stiffness ratio.

Comparative Study on Physical and Mechanical Characteristics of Volcanic Rocks in Jeju Island (제주도 화산암의 물리・역학적 특성에 대한 비교연구)

  • Yang, Soon-Bo
    • Journal of the Korean Geotechnical Society
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    • 제30권11호
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    • pp.39-49
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    • 2014
  • Volcanic rocks in Jeju island show vesicular structure caused by various environmental factors, and indicate the differences in geological and mechanical characteristics from region to region. Previous studies on the volcanic rocks in Jeju island have been actively conducted on geological and chemical properties in terms of geophysics and geology and on physical and mechanical properties in terms of engineering. But comprehensive comparative analysis on physical and mechanical properties of volcanic rocks in Jeju island is not conducted. In this study, the physical and mechanical properties of volcanic rocks in Jeju island were compared and analyzed comprehensively through the existing research papers and reports about volcanic rocks in Jeju island. As a result, it was found that the relationship between absorption (porosity) and apparent specific gravity is commonly linear and could be represented as two different linear approximations. In addition, it was found that the relationship between P-wave velocity and S-wave velocity and the relationship between absorption (porosity) and uniaxial compressive strength could be classified more clearly, considering two different linear relationships in absorption (porosity) and apparent specific gravity.