• 제목/요약/키워드: Initial tangent modulus

검색결과 14건 처리시간 0.041초

표준압밀시험에 의한 점토의 초기탄성계수 산정 (The Estimation of Initial Elastic Modulus of Clay by Standard Consolidation Test)

  • 권병해;임성훈
    • 한국농공학회논문집
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    • 제66권1호
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    • pp.15-24
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    • 2024
  • Unlike artificially created homogeneous materials, the process of calculating the elastic modulus of natural soil involves the possibility of errors. Because the stress-strain behavior of soil is nonlinear, the secant modulus of elasticity is often used based on 1/2 of the stress at failure. Since soil has the property of changing its elastic modulus depending on the confining pressure, numerical analysis models that analyze its behavior inevitably include complex elements. The hyperbolic model, which relatively accurately simulates the behavior immediately after loading in soft ground, assumes that the stress-strain curve of the consolidated undrained triaxial test is hyperbolic and requires the slope of the tangent line at the starting point. However, the slope of the initial tangent in the stress-strain curve obtained from an actual triaxial test is difficult to have regularity according to changes in confining pressure. Additionally, due to the characteristics of a hyperbola, even small changes in related factors cause large changes in the hyperbola. Therefore, there is a lot of randomness in the process of calculating model parameters from the triaxial test results, which causes large differences in the results. Therefore, the method of calculating the initial elastic modulus by the consolidation test presented in this study is also used to verify the method by the triaxial test. It can be applied. However, since this study was applied to only one sample showing typical consolidation characteristics, it is necessary to check samples with various physical properties in the future.

비선헝 비탄성 유한변위 해석 및 좌굴해석에 의한 강사장교의 극한강도 비교 (Comparison of Limit Strength of Steel Cable-Stayed Bridges using Nonlinear Inelastic Displacement and Buckling Analyses)

  • 김승억;최동호;마상수;송원근
    • 한국전산구조공학회논문집
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    • 제18권3호
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    • pp.277-289
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    • 2005
  • 본 논문은 강사장교의 극한강도를 다루고 있다. 강사장교의 극한강도를 평가하기 위하여 비선형 비탄성 해석 접근법과 분기점 좌굴 고유치해석 접근법인 유효접선탄성계수$(E_f)$법을 사용하여 예제를 수행하였다. 이를 위하여 초기형상을 고려한 실용적인 비선형 비탄성 해석기법을 제시하였다. 초기형상 해석 시각 형상해석 단계마다 보-기둥 부재의 부재력 대신 개선된 구조물형상을 고려하였다. 보-기둥 부재의 기하학적 비선형은 안정함수를 사용하여 고려하였고, 재료적 비선형은 CRC 접선계수와 포물선 함수를 사용하여 고려하였다. 또한, 케이블 부재의 기하학적 비선형은 할선탄성계수 값을 사용하여 고려하였다. 본 연구에서 제안한 해석기법으로 예측된 하중-변위 곡선들이 다른 연구에 의한 결과들과 비교 검증 되었으며, 제시된 3차원 강사장교 모델들에 대하여 제안한 해석기법과 비탄성 좌굴해석을 사용하여 극한강도를 비교하였다.

다짐 풍화토의 Duncan & Chang 모델 매개변수-초기접선계수와 극한축차응력 산정에 관한 연구 (Study on the Estimation of Duncan & Chang Model Parameters-initial Tangent Modulus and Ultimate Deviator Stress for Compacted Weathered Soil)

  • 유건선
    • 한국지반환경공학회 논문집
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    • 제19권12호
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    • pp.47-58
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    • 2018
  • Duncan & Chang(1970)는 던컨-창 모델을 제안하면서 흙시료의 초기 접선계수와 극한 축차응력을 구하기 위하여 쌍곡선이론을 사용하여 삼축압축시험의 응력-변형률의 비선형관계를 변환된 변형률/축차응력-변형률의 선형관계로 재구성하였다. 그러나 변환된 응력-변형률 관계는 이론적으로 선형관계를 나타내지만, 실제로는 시험이 시작되는 변형률이 작은 구간과 시료가 파괴에 이르는 변형률이 큰 구간에서는 비선형관계를 보인다. 이러한 현상은 삼축압축시험의 응력-변형률 곡선이 완전한 쌍곡선 형태가 아님을 나타낸다. 따라서 변환된 응력-변형률 곡선의 전 구간에 대하여 선형 회귀분석을 실시하여 직선의 식을 구하게 되면, 비선형관계를 나타내는 구간의 범위에 따라 선형관계식의 산정에 편차가 발생하게 된다. 이러한 편차를 줄이기 위하여 본 연구에서는 변환응력-변형률 관계에서 비선형을 나타내는 초반과 종반 구간을 제외한 구간에 대하여 선형회귀분석을 실시함으로써 초기접선계수와 극한 축차응력을 산정하는 수정회귀분석법을 제안하였다. 수정회귀분석법을 검증하기 위하여, 풍화토의 다짐시료에 대하여 압밀-배수 삼축압축시험을 실시하였다. 삼축압축시험의 응력-변형률 곡선으로부터 구한 변환응력-변형률 관계에 대해서 수정회귀분석을 실시하여 Duncan et al.(1980)이 제안한 2점법으로 구한 결과와 비교하였다. 분석결과 수정회기분석법에 비해 Duncan의 2점법으로 산정한 초기 접선계수는 4.0% 크게, 그리고 극한 축차응력은 2.9% 작게 평가되었다.

Effect of relative density on the shear behaviour of granulated coal ash

  • Yoshimoto, Norimasa;Wu, Yang;Hyodo, Masayuki;Nakata, Yukio
    • Geomechanics and Engineering
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    • 제10권2호
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    • pp.207-224
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    • 2016
  • Granulated coal ash (GCA), a mixture of the by-product from milling processes with a small amount of cement added, has recently come to be used as a new form of geomaterial. The shear strength and deformation behaviours of GCA are greatly determined by its relative density or void ratio. A series of drained triaxial compression tests were performed on cylindrical specimens of GCA at confining pressures of between 50 kPa and 400 kPa at initial relative densities of 50%, 70% and 80%. Experimental results show that a rise in relative density increases the peak shear strength and intensifies the dilation behaviour. The initial tangent modulus and secant modulus of the stress-strain curve increase with increasing initial relative density, whereas the axial and volumetric strains at failure decrease with level of initial relative density. The stress-dilatancy relationships of GCA at different relative densities and confining pressures display similar tendency. The dilatancy behaviour of GCA is modelled by the Nova rule and the material property N in Nova rule of GCA is much larger than that of natural sand.

Elastic stiffness of stud connection in composite structures

  • Qin, Xi;Yang, Guotao
    • Steel and Composite Structures
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    • 제39권4호
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    • pp.419-433
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    • 2021
  • In composite structures, shear connectors are crucial components to resist the relative slip between the steel and concrete, and thereby to achieve the composite actions. In the service stage, composite structures are usually in elastic state, so the elastic stiffness of the shear connection is a quite important parameter in the structural analysis of composite structures. Nevertheless, the existing studies mainly focus on the load-slip relationship rather than the tangent stiffness at the initial elastic stage. Furthermore, when composite beams subjected to torque or local load, shear connections are affected by both tensile force and shear force. However, the stiffness of shear connections under combined effects appears not to have been discussed hitherto. This paper investigates the initial elastic stiffness of stud connections under combined effects of biaxial forces. The initial expression and the relevant parameters are obtained by establishing a simplified analytical model of the stud connection. Afterwards, parametric finite element analysis is performed to investigate the effects of the relevant factors, including the stud length, stud diameter, elastic modulus of concrete, elastic modulus of steel and volume ratio of reinforcement. The feasibility of the proposed modelling has been proved by comparing with sufficient experimental tests. Based on the analytical analysis and the extensive numerical simulations, design equations for predicting the initial elastic stiffness of stud connections are proposed. The comparison between the equations and the data of finite element models demonstrates that the equations are accurate enough to serve for engineering communities.

Investigation of 1D sand compression response using enhanced compressibility model

  • Chong, Song-Hun
    • Geomechanics and Engineering
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    • 제25권4호
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    • pp.341-345
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    • 2021
  • 1D sand compression response to ko-loading experiences volume contraction from low to high effective stress regimes. Previous study suggested compressibility model with physically correct asymptotic void ratios at low and high stress levels and examined only for both remolded clays and natural clays. This study extends the validity of Enhanced Terzaghi model for different sand types complied from 1D compression data. The model involved with four parameters can adequately fit 1D sand compression data for a wide stress range. The low stress obtained from fitting parameters helps to identify the initial fabric conditions. In addition, strong correlation between compressibility and the void ratio at low stress facilitates determination of self-consistent fitting parameters. The computed tangent constrained modulus can capture monotonic stiffening effect induced by an increase in effective stress. The magnitude of tangent stiffness during large strain test should not be associated with small strain stiffness values. The use of a single continuous function to capture 1D stress-strain sand response to ko-loading can improve numerical efficiency and systematically quantify the yield stress instead of ad hoc methods.

동결 온도와 재하속도에 따른 동결토의 일축압축 및 쪼갬인장 강도특성 (Experimental Study on Unconfined Compression Strength and Split Tensile Strength Properties in relation to Freezing Temperature and Loading Rate of Frozen Soil)

  • 서영교;최헌우
    • 한국해양공학회지
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    • 제26권6호
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    • pp.19-26
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    • 2012
  • Recently the world has been suffering from difficulties related to the demand and supply of energy due to the democratic movements sweeping across the Middle East. Consequently, many have turned their attention to never-developed extreme regions such as the polar lands or deep sea, which contain many underground resources. This research investigated the strength and initial elastic modulus values of eternally frozen ground through a uniaxial compression test and indirect tensile test using frozen artificial soil specimens. To ensure accurate test results, a sandymud mixture of standard Jumunjin sand and kaolinite (20% in weight) was used for the specimens in these laboratory tests. Specimen were prepared by varying the water content ratio (7%, 15%, and 20%). Then, the variation in the strength value, depending on the water content, was observed. This research also established three kinds of environments under freezing temperatures of $-5^{\circ}C$, $-10^{\circ}C$, and $-15^{\circ}C$. Then, the variation in the strength value was observed, depending on the freezing environment. In addition, the tests divided the loading rate into 6 phases and observed the variation in the stress-strain ratio, depending on the loading rate. The test data showed that a lower freezing temperature resulted in a larger strength value. An increase in the ice content in the specimen with the increase in the water content ratio influenced the strength value of the specimen. A faster load rate had a greater influence on the uniaxial compression and indirect tensile strengths of a frozen specimen and produced a different strength engineering property through the initial tangential modulus of elasticity. Finally, the long-term strength under a constant water content ratio and freezing temperature was checked by producing stress-strain ratio curves depending on the loading rate.

밀도와 구속압력이 노상토의 탄성계수에 미치는 영향에 관한 실험적 연구 (An Experimental Study on Effects of Density and Confining Pressure on the Elastic Modulus of Subgrade Soils)

  • 김수일;김문겸;유지형;김철수
    • 대한토목학회논문집
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    • 제8권2호
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    • pp.33-40
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    • 1988
  • 본 연구에서는 밀도와 구속압력이 노상토의 탄성계수에 미치는 영향을 살펴보기 위하여 전국 고속도로로 노상토를 채취분석하여 얻은 전형적인 5가지 노상토 재료에 대하여 함수비, 밀도 및 구속압력을 달리하면서 비압밀 비배수 삼축압축시험을 실시하였다. 삼축압축시험시 unloading-reloading 실험을 수행하여 얻은 응력-변형을 관계로부터 최대탄성계수를 측정하였다. 실험결과 노상토의 탄성거동은 Janbu의 제안식에 잘 부합하였으며, 구속압력으로 표준화된 탄성계수는 건조단위체적중량과 지수함수의 상관관계가 있음을 알 수 있었다. 또한 포화도가 70%이하에서는 함수비가 탄성계수에 영향을 거의 미치지 않음이 밝혀졌다.

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무기물이 충진된 에폭시수지의 경화반응과 유변학적 거동에 관한 연구 (Cure Kinetics and chemorology of silica filled DGEBA/Polyxoypropylenediamine epoxy system)

  • 윤은상;이기윤;김대수
    • 한국재료학회:학술대회논문집
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    • 한국재료학회 1994년도 추계 학술발표 강연 및 논문 개요집
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    • pp.125-126
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    • 1994
  • The chemorheological changes and kinetics during curing reaction of an silica filled epoxy system (DGEBA with curing agent Polyxoypropylenediamine) were investigated. This study concentrates on the influence of silica on the reaction kinetics and rheological behavior of the eopxy system. The concentration of the filler was varied 0~200phr. Curing behavior of the silica filled epoxy system was measured at various heating rates with DSC. Conversion was also measured by integrating the obtained DSC curve and Kinetic parameters measured by using the nonlinear regression method. DSC experiments showed that the presence of silica was found to accelerate the progress of the curing reaction and of reduce the heat of reaction compared with that of unfilled epoxy systems . Rheological experiments were conducted on a Physica by using a disposable parallel plate fixture. Material properites were measured such as the elastic modulus(G′), the loss modulus(G"), the loss tangent(tan $\delta$), and the viscosity was at the initial stahe, and the more the silica filler was added, and the lower the gel temperature was in the epoxy system. In this study it is concluded that the curing of the silica filled epoxy system was found to be accelerated, as silica was added to the epoxy compound.

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반복재하(反復載荷)에 의한 점성토(粘性土)의 변형특성(變形特性) (Deformation Characteristics of Clayey Soil Subject to Repeated Compressive Loading)

  • 천병식;박흥규
    • 대한토목학회논문집
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    • 제9권1호
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    • pp.89-95
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    • 1989
  • 다져진 흙의 공시체에 최대 10만회 까지 반복하중(反復荷重)을 가하였을 때 잔류변형(殘溜變形) 및 탄성변형(彈性變形) 그리고 반복후(反復後) 일축압축시험을 행하여 응력(應力)-변형율(變形率) 관계등(關係等)을 검토하였으며, 여기에 영향을 미치는 함수비(含水比), 밀도(密度), 반복회수(反復回數), 반복하중등(反復荷重等)에 대해서 고찰(考察)하였다. 반복회수(反復回數)에 따른 변형(變形)의 증가율(增加率)은 소성한계(塑性限界)를 기준으로 함수비의 정도에 따라 크게 변화 하였으며, 반복하중(反復荷重)을 받은후(後) 구한 탄성변형계수(彈性變形係數)로부터 흙의 초기접선계수(初期接線係數)의 추정(推定)이 가능 하였다.

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