• Title/Summary/Keyword: Effective Stress-strain Curve

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Development of Test Method for Simple Shear and Prediction of Hardening Behavior Considering the Bauschinger Effect (단순전단 시험법 구축 및 바우싱거효과를 고려한 경화거동 예측)

  • Kim, Dongwook;Bang, Sungsik;Kim, Minsoo;Lee, Hyungyil;Kim, Naksoo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.10
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    • pp.1239-1249
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    • 2013
  • In this study we establish a process to predict hardening behavior considering the Bauschinger effect for zircaloy-4 sheets. When a metal is compressed after tension in forming, the yield strength decreases. For this reason, the Bauschinger effect should be considered in FE simulations of spring-back. We suggested a suitable specimen size and a method for determining the optimum tightening torque for simple shear tests. Shear stress-strain curves are obtained for five materials. We developed a method to convert the shear load-displacement curve to the effective stress-strain curve with FEA. We simulated the simple shear forward/reverse test using the combined isotropic/kinematic hardening model. We also investigated the change of the load-displacement curve by varying the hardening coefficients. We determined the hardening coefficients so that they follow the hardening behavior of zircaloy-4 in experiments.

Experimental estimation of effective strain on strength of hydroformed engine cradle (액압성형공정을 적용한 엔진크레들의 변형률에 따른 강도변화의 실험적 연구)

  • Lee, S.M.;Park, H.K.;Yim, H.S.;Kim, K.S.;Moon, Y.H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.05a
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    • pp.503-506
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    • 2008
  • 본 연구에서는 하이드로포밍 공정을 적용한 엔진크레들 제품에 대해 최종 제품의 강도를 평가하고자 하였다. 먼저 적용 판재인 370과 440 소재에 대해 인장시험을 수행하여 소재의 경도와 강도의 상관관계를 분석하여 경도와 강도의 변환식을 도출하였다. 그런 다음 예비굽힘, 예비성형, 최종성형된 제품의 각 공정에 따른 유효변형률을 측정하고 같은 위치에서의 경도를 측정하였다. 측정된 경도는 앞서 도출한 경도와 강도의 변환식에 대입하여 각 공정을 마친 제품의 강도를 예측하고 결국 하이드로포밍된 엔진 크레들 제품의 유효변형률에 따른 강도를 예측식을 실험으로 도출하였다. 그 결과 예비굽힘, 예비성형, 최종성형을 마친 엔진 크레들 제품에 대해 유효변형률이 $24{\sim}72%$로 변하였고 이때 HF370의 경우에는 유동응력값이 $375{\sim}500MPa$로 증가하여 원소재에 비해 성형 후 $25{\sim}66%$의 강도증가량을 보였고, HF440의 경우에는 $470{\sim}565MPa$로 증가하여, 원소재에 비해 $17{\sim}41%$로 강도가 증가하는 것으로 나타났다. 그리고 이와 같은 변화값을 이용하여 유효변형률과 강도의 상관관계를 도출하였다.

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Characteristics of Shear Behavior of Remolded Nak-dong River Sandy Silt (재성형된 낙동강 모래질 실트의 전단거동 특성)

  • Kim Young-Su;Tint Khin Swe;Kim Dae-Man
    • Journal of the Korean Geotechnical Society
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    • v.23 no.3
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    • pp.41-50
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    • 2007
  • The results from normally consolidated isotropic drained and undrained triaxial compression tests (NCIU and NCID) on sand with high silt content were presented in this paper. The experiments were performed on specimens of Nak-dong River sand with 63% silt content under effective confined pressures, 100 kPa to 400 kPa. From test results, Sandy silt became initially compressive but eventually appeared to provide dilatancy response throughout the entire stress-strain curve The behavior of sandy silt was more difficult to characterize than that of clay and sand due to lower plastic characteristic. Especially, the samples exhibited dilatancy development during shear after failure. The shear behavior and shear strength parameters of sandy silt can be determined as stress-strain behaviors are described by the Mohr-Coulomb failure criterion. The shear behaviors were observed increasing dilatancy volume change tendency with strain-softening tendency after failure. In this paper, the behavior of dilatancy depends on not only sand content but also fine content with low-cohesion during shear in the samples of sandy silt.

A numerical analysis of compressive strength of rectangular concrete columns confined by FRP

  • Lin, Huei-Jeng;Liao, Chin-I;Yang, Chin
    • Computers and Concrete
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    • v.3 no.4
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    • pp.235-248
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    • 2006
  • This investigation presents an analysis procedure for simulating the compressive behavior of a rectangular concrete column confined by fiber-reinforced plastic (FRP) under uniaxial load. That is, the entire stress-strain curve can be drawn through the present analysis procedure. The modified Mander's stress-strain model (Mander, et al. 1988) and finite element method are adopted in this analysis procedure. The numerical analysis results are compared with the experimental results to verify the accuracy of the analysis procedure. This study offers a useful analysis procedure of researching the compressive behavior of rectangular concrete columns confined by FRP. Two main parameters, the number of FRP layers and the radius of the round corners of a rectangular column, are investigated. The numerical results show that non-uniform stresses occur and reduce the sectional effective area owing to the geometry of the confined rectangular column. The stresses are concentrated at the corners of the rectangular column. Compressive strength of a rectangular column increases greatly because the number of FRP layers increase. The maximum predicted compressive stress of the rectangular column has approximately 10% error as compared to the experimental results. Comparing the numerical and experimental results demonstrates that the accuracy of this analysis procedure is credible. Besides, the stress-strain curves of the R30 models, which are rectangular concrete column with large radius of round corners, are almost bilinear. This calculated results conform to the expectation and show the present analysis procedure are more suitable than Mander's model (1988) to analyze the compressive behavior of the rectangular concrete column confined by FRP.

2D Image Numerical Correction Method for 2D Digital Image Correlation (2차원 DIC 기법 적용을 위한 2D 이미지 보정 수치 해석 기법)

  • Kim, Wonseop;Hong, Seokmoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.4
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    • pp.391-397
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    • 2017
  • Recently, digital image correlation (DIC) techniques have been used to measure dynamic deformation during tensile testing. The standard tensile test method measures the average displacement of the relevant specimen to calculate the true stress-strain curve. Therefore, the validity of the true stress curve is restricted to the stress incurred within the uniform stretching interval, i.e., the maximum stress corresponds to the starting point of the necking deformation. Alternatively, if DIC is used, the effective range of the strain and strain rate can be extended to the breaking point of the tensile specimen, because of the feasibility of measuring the local strain over the entire area of interest. Because of these advantages, many optical 3D measurement systems have been introduced and used in research and industry. However, the conventional 3D measurement systems are exceedingly expensive and time consuming. In addition, these systems have the disadvantage of a very large equipment size which makes their transport difficult. In this study, a 2D image correction method employing a 2D DIC measurement method in conjunction with a numerical analysis method is developed using a smartphone. The results of the proposed modified 2D DIC method yielded higher accuracy than that obtained via the 3D measurement equipment. In conclusion, it was demonstrated that the proposed 2D DIC and calibration methods yield accurate measurement results with low time costs.

Tension and impact behaviors of new type fiber reinforced concrete

  • Deng, Zongcai;Li, Jianhui
    • Computers and Concrete
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    • v.4 no.1
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    • pp.19-32
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    • 2007
  • This paper is concentrated on the behaviors of five different types of fiber reinforced concrete (FRC) in uniaxial tension and flexural impact. The complete stress-strain responses in tension were acquired through a systematic experimental program. It was found that the tensile peak strains of concrete with micro polyethylene (PEF) fiber are about 18-31% higher than that of matrix concrete, those for composite with macro polypropylene fiber is 40-83% higher than that of steel fiber reinforced concrete (SFRC). The fracture energy of composites with micro-fiber is 23-67% higher than that of matrix concrete; this for macro polypropylene fiber and steel fiber FRCs are about 150-210% and 270-320% larger than that of plain concrete respectively. Micro-fiber is more effective than macro-fiber for initial crack impact resistance; however, the failure impact resistance of macro-fiber is significantly larger than that of microfiber, especially macro-polypropylene-fiber.

Estimation of Compressive Strength for Cemented River Sand (고결된 하상모래의 압축강도 추정)

  • Jeong, Woo-Seob;Yoon, Gil-Lim;Kim, Byung-Tak
    • Journal of the Korean Geotechnical Society
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    • v.24 no.4
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    • pp.67-78
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    • 2008
  • In this study, artificial cemented sand made of a few portland cement and Nak-Dong river sand was researched closely to investigate cementing effect quantitatively through unconfined tests and triaxial tests. The peak strength and elastic modulus increased and dilation of cemented sand was restricted by the cementation, but after breakage of the cementation, dilation and negative excess pore water pressure increased. In stress-strain curve, strain-softening behavior appeared in drained condition but strain-hardening behavior was appeared in undrained condition as a result of the increase of effective stress. The test was quantitatively analyzed by multiple regression models, correlating each response variable with input variable. The equations are valid only over the range investigated. Its adjusted coefficient of determination was $0.81{\sim}0.91$, and dry density is important factor for estimating strength of cemented sand.

A Critical Liquefaction Resistible Characteristic of Saturated Sands Based on the Cyclic Triaxial Test Under Sinusoidal Loadings (정현하중재하 진동삼축시험에 기초한 포화사질토의 액상화 한계저항특성)

  • 최재순;김수일
    • Journal of the Korean Geotechnical Society
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    • v.20 no.8
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    • pp.147-158
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    • 2004
  • Laboratory dynamic tests are carried out to assess the liquefaction potential of saturated sands in most countries. However, simple results such as the maximum cyclic shear stress and the number of cycles at initial liquefaction are used in the experimental assessment of liquefaction potential, even though various results can be obtained from the dynamic test. In addition, it seemed to be inefficient because more than three dynamic tests with different stress ratio have to be carried out to draw a liquefaction resistance experimental curve. To improve the present assessment method fur liquefaction potential, a new critical resistible characteristic far soil liquefaction is proposed and verified through conventional cyclic triaxial tests with Jumunjin sand. In the proposed method, various experimental data such as effective stress path, stress-strain relationship, and the change of excess pore water pressure can be used in the determination of cumulative plastic shear strains at every 1/4 cycle. Especially, the critical cumulative plastic shear strain to initiate liquefaction can be defined in a specific point called a phase change point in the effective stress path and it can be calculated from a hysteric curve of stress-strain relationship up to this point. Through this research, it is found that the proposed cumulative plastic shear strain can express the dissipated energy to resist dynamic loads and consider the realistic soil dynamic behavior of saturated sands reasonably. It is also found that the critical plastic shear strain can be used as a registible index of soils to represent the critical soil dynamic state, because it seems to include no effect of large deformation.

Development and Assessment for Resilient Modulus Prediction Model of Railroad Trackbeds Based on Modulus Reduction Curve (탄성계수 감소곡선에 근거한 철도노반의 회복탄성계수 모델 개발 및 평가)

  • Park, Chul Soo;Hwang, Seon Keun;Choi, Chan Yong;Mok, Young Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.2C
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    • pp.71-79
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    • 2009
  • This study is to develope the resilient modulus prediction model, which is the function of mean effective principal stress and axial strain, for three types of railroad trackbed materials such as crushed stone, weathered granite soil, and crushed-rock soil mixture. The model consists of the maximum Young's modulus and nonlinear values for higher strain, analogous to dynamic shear modulus. The maximum value is modeled by model parameters, $A_E$ and the power of mean effective principal stress, $n_E$. The nonlinear portion is represented by modified hyperbolic model, with the model parameters of reference strain, ${\varepsilon}_r$ and curvature coefficient, a. To assess the performance of the prediction models proposed herein, the elastic response of a test trackbed near PyeongTaek, Korea, was evaluated using a 3-D elastic multilayer computer program (GEOTRACK). The results were compared with measured elastic vertical displacement during the passages of freight and passenger trains at two locations, whose sub-ballasts were crushed stone and weathered granite soil, respectively. The calculated vertical displacements of the sub-ballasts are within the order of 0.6mm, and agree well with measured values. The prediction models are thus concluded to work properly in the preliminary investigation.

Uniaxial Compression Behavior of Circular RC Columns Confined by Carbon Fiber Sheet Wraps (탄소섬유시트로 구속된 원형 RC기둥의 일축압축 거동)

  • Han, Sang Hoon;Hong, Ki Nam
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.11 no.2
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    • pp.125-133
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    • 2007
  • External confinement by CFS (Carbon Fiber Sheet) is a very effective retrofit method for the reinforced concrete columns subject to either static or seismic loads. For the reliable and cost-effective design of CFS, an accurate stress-strain curve is required for CFS-confined concrete. In this paper, uniaxial compression test on short RC column with circular section was performed. To evaluate the effect of confinement on the stress-strain relationship of CFS-confined concrete, CFS area ratio, spiral area ratio, and concrete compressive strength are considered as the test variables. Experiment results indicate that CFS jacketing significantly enhances strength and ductility of concrete. In addition, the CFS-jacketed specimens with the spiral steel show the lower load increasement ratio than those without the spiral steel.