• Title/Summary/Keyword: modulus

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Characterization of elastic modulus and fracture toughness of randomly oriented chopped glass fibers functionally graded materials

  • Sayed Mohammad Hossein Izadi;Mahdi Fakoor;Babak Mirzavand
    • Steel and Composite Structures
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    • v.53 no.1
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    • pp.91-101
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    • 2024
  • A cost-effective fabrication method suitable for research purposes is proposed in this study. The elastic modulus of the fabricated functionally graded materials is evaluated and compared using two experimental methods: the three-point bending test and the tensile test, with a focus on the fiber volume fraction of the FGM layers. New methods for computing the elastic modulus are introduced, which are based on Castigliano's theorem and the secant modulus concept, incorporating the non-linear behavior of the material. Additionally, the mode I fracture toughness of the FGM layers is measured accurately using the three-point bending test and finite element analysis, and the influence of varying fiber volume fractions on this parameter is investigated through statistical analysis. Results indicate that while an increase in fiber volume fraction correlates with a rise in elastic modulus, it does not necessarily lead to an enhancement in mode I fracture toughness, highlighting the complex interactions between material composition and mechanical properties.

Prediction and Application of the Dynamic Modulus of Elasticity of Concrete Using the Wavelet Analysis (웨이블릿 해석을 이용한 콘크리트의 동탄성계수 추정 및 응용)

  • Jung, Beom-Seok
    • Journal of the Korea Concrete Institute
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    • v.22 no.6
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    • pp.843-850
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    • 2010
  • The dynamic modulus of elasticity of concrete can be determined nondestructively using impact echo test as prescribed in KS F 2437. The fundamental longitudinal frequency of the concrete cylinders with free-free boundary condition was estimated by the wavelet transform theory. The advantage of the wavelet transform over either a pure spectral or temporal decomposition of the signal is that the features of the pertinent signals can be characterized in the time-frequency plane. For the concrete mix design utilized in this study, no significant difference between the dynamic and the static moduli of elasticity was observed. This was contrary to the perceived general notion of having the dynamic modulus considerably higher than the static modulus. It has been shown that the modulus from static and dynamic by impact echo test are comparable to each other fairly well, when the effect of strain level was properly taken into account. In this experimental test, it was shown that the dynamic modulus is approximately equal to the tangent modulus at $1{\times}10^{-4}$ strain level.

Complex Modulus of Alumina Green Tapes Measured by Micro Fourier Rheometer (Micro Fourier Rheometer에 의한 알루미나 그린 테이프의 Complex Modulus 측정)

  • ;;;;Michael V. Swain;Bruno Pfister
    • Journal of the Korean Ceramic Society
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    • v.36 no.2
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    • pp.122-129
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    • 1999
  • Alumina tapes, having various weight ratios of alumina powder/(alumina+binder+plasticizer), X, and binder / (binder+plsticizer), Y, were prepared and their complex modulus was measured using Micro Fourier Rheometer. As the X and Y ratios increased, Transfer function(TF) magnitude and Transfer function (TF) phase increased and decreased, respectively, indicating that the elastic modulus of the tapes depends on the weight ratios. The temperature dependence of the viscosity of the tapes was visualized by the decreased TF magnitude and the increased TF phase. The Y ratio dependence of the complex modulus related to the glass transition temperature of the tapes and the moduls change by the Y ratio was higher than that by the X ratio within the comperature of the tapes and the modulus changes by the Y ratio was higher than that by the X ratio within the composition range, investigated in the present study. The measurement of the complex modulus of the alumina tapes suggested that the TF phase should be higher that 17$^{\circ}$for the tapes to be utilized for 3-dimensional shaping.

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A Performance Comparison of CR-MMA and FC-MMA Adaptive Equalization Algorithm in 2 dimensional QAM Signal (2차원 QAM 신호에서 CR-MMA와 FC-MMA 적응 등화 알고리즘의 성능 비교)

  • Lim, Seung-Gag
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.18 no.1
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    • pp.85-90
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    • 2018
  • This paper compares the equalization algorithm of CR-MMA (Constellation Reduction-Multi Modulus Algorithm) and FC-MMA (Fast Convergence-Multi Modulus Algorithm) for the compensation of channel's distortion in transmitting the 2 dimensional 16-QAM signals. The CR-MMA adaptive equalizer use the error signal by reduce the nonconstant modulus signal to constant modulus signal in order to updates the tap coefficient, and the FC-MMA adptive equalizer use the error signal applying the modified dispersion constant considering the number of symbol level instead of signal point reduction. These two algorithm are known to its superior to the convergence characteristic among the MMA series equalizer. In this paper, the other equalization performance including the convergence characteristic was compared by computer simulation. As a result of computer simulation, FC-MMA has more good performance in the residual isi, maximum distortion and SER performance than CR-MMA, but not in convergence speed.

Presumption of Optimum Concrete Elastic Modulus according to Content of Crushed Stone Powder (폐석분 함유율에 따른 최적의 콘크리트 탄성계수 추정)

  • Park Do-Kyong;Yang Keek-Young
    • Journal of the Korea Institute of Building Construction
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    • v.6 no.1 s.19
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    • pp.101-107
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    • 2006
  • While a Study with regard to the measurement on Concrete Strength and the Change of Drying Shrinkage in accordace with Content Ratio of Crushed Stone Powder, it is being analyzed as the result that the strength according to Content Ratio of crushed Stone Powder is somewhat lowering. Accordingly, it is the real situation that the Concrete mixed with Crushed Stone Powder is utilized for non-structural material, not for the structural material. Therefore, this Research willing to furnish the suitable utilizing scheme for construction site as well as practical life by means of conduct the experiment on both Concrete Pressure Strength according to mixture with Crushed Stone Powder and Elastic Modulus, it also presumes the optimum Elastic Modulus Equation after analysis of comparison with common concrete strength. As the result of the experiment, in case of the Content Ratio of Crushed Stone Powder is less than 5%, it did not display a big difference in its both strength and matter-property compare with common concrete. In case of Elastic Modulus, when the Pressure Strength is 50% and 40% respectively, the Elastic Modulus Equation accords very well with the provided condition of Quadratic function, and as the result of the Presumption on Elastic Modulus according to Content of Crushed Stone Powder, in case the Pressure Strength is 50%, Elastic Modulus Equation showed that Error Ratio of Cubic function is at degree of 0.0005%, in case the Pressure Strength is 40%, Elastic Modulus Equation was accorded well with the value of the experimental data likely as the Error Ratio of Cubic function is at the degree around 0.0034%, respectively.

Analysis of Confinement Effectiveness for FRP Confined Concrete Columns (FRP로 구속된 콘크리트 압축부재의 구속효과 분석)

  • Choi, Eunsoo;Choi, Seung-Hwan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.1A
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    • pp.19-24
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    • 2011
  • Concrete columns strengthening effect due to FRP (Fiber Reinforced Polymer) confinement depends on the elastic modulus of the FRP. This study analyzes the retrofitting effect of FRP confinements according to elastic modulus of FRPs using the existing data and suggests a practical model to assess the strengthening effect. This study subdivides the FRP elastic modulus into three parts based on normal concrete and steel elastic modulus. The slope and the y-axis intersection seem to increase with increasing FRP elastic modulus. In addition, the strengthening effect does not develop up to some amount of FRP confinement having relatively smaller elastic modulus than the compressive elastic modulus of concrete. In this case, a linear model to assess the strengthening effect is hard to be used. Thus, this study suggests that the FRP jackets having 2 times larger elastic modulus than that of concrete are recommended to be used for retrofit of concrete and that a linear model can be applied for the case. The suggested model shows nearly the same result regardless to the restraint of the y-axis intersection. This has been observed at the model of steel confinement and, thus, is a reliable result.

Determination of Deformation Modulus of Rock Mass with Measured Tunnel Displacement (측정된 터널변위에 의한 암반 변형계수의 결정)

  • Park, Jae-Woo;Park, Eun-Gyu;Kim, Gyo-Won
    • The Journal of Engineering Geology
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    • v.17 no.4
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    • pp.655-664
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    • 2007
  • The major geotechnical parameters employed in tunnel design are deformation modulus, Poisson's ratio, friction angle, cohesion, etc. Among these parameters, the deformation modulus is the most significant parameter in tunnel deformation. However, determination of the modulus for rock mass by means of tests is very difficult due to factors affecting including discontinuities and sample size, etc. Thus input values used in the numerical analysis are generally determined by empirical method. A numerical analysis on tunnel was conducted with geotechnical parameters determined through the geological field mapping, laboratory tests, and evaluation of boring data, and some discrepancy between the computed result and tunnel displacements measured was found. Thus, further analyses by changing the deformation modulus of rock mass were performed to determine a relationship between the modulus and computed displacement. Data from two tunnel sites were used to verify the applicability of the proposed method and a correlative equation between deformation modulus and tunnel displacement is proposed. The deformation modulus of rock mass was around 30-40% of young's modulus of intact rock in these cases.

Measurement of the Shear Modulus of an Ultrasound Tissue Phantom (초음파 연조직 팬텀에서 횡탄성의 측정)

  • Park, Jeong-Man;Choi, Seung-Min;Kwon, Sung-Jae;Jeong, Mok-Kun
    • The Journal of the Acoustical Society of Korea
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    • v.31 no.6
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    • pp.399-409
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    • 2012
  • In this paper we propose a method for measuring the shear modulus of an ultrasound soft tissue phantom using an acoustic radiation force. The proposed method quantitatively determines the shear modulus based on the rise time of a displacement induced by an acoustic radiation force at the focal point of a focused ultrasound beam. The shear wave speed and shear modulus obtained from the proposed method and a shear wave propagation method were compared to verify the validity of the proposed method. In the shear wave propagation method, the shear modulus is first computed by measuring the propagating speed of a shear wave induced in a phantom by a limited-diffraction transmit field, and then was compared to that obtained with the proposed method in an ultrasound data acquisition system calibrated based on the first computed shear modulus. The relative errors between the two methods were found to be 4% for shear wave speed and less than 9% for shear modulus, confirming the usefulness of the proposed method.

Characteristics of Resilient Modulus of Reinforced-Roadbed Materials Using Large Repetitive Triaxial Test (대형반복삼축시험에 의한 강화노반 재료의 회복탄성계수 특성 분석)

  • Lim, Yu-Jin;Lee, Jin-Ug;Hwang, Jung-Kyu;Park, Mi-Yun
    • Proceedings of the KSR Conference
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    • 2011.10a
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    • pp.1115-1122
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    • 2011
  • Reinforced-Roadbed materials are usually composed of crushed stones. Repeated load application can induce deformation in the reinforced-roadbed layer so that it causes irregularity of track. Thus it is important to develop a prediction model of elastic modulus based on stress-strain relation under repeatitive load in order to investigate behavior of reinforced roadbed. The prediction model of elastic modulus of the material can be obtained from repeated triaxial test. However, a proper size of the sample for the test must be used. In this study, a large repeatitive triaxial test apparatus with the sample size of diameter of 30 cm and height of 60cm was adapted for performing test of the crushed stone reinforced-roadbed considering large particle size to get resilient modulus Mr. The obtained resilient modulus was compared to shear modulus obtained from mid size resonant column test. The sample size effect is somewhat large enough so that it is required to design a scale factor based on similarity law in order to use smaller samples for getting elastic modulus of the crushed stone reinforced-roadbed material. A scale factor could be obtained from this study.

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Mechanical parameters detection in stepped shafts using the FEM based IET

  • Song, Wenlei;Xiang, Jiawei;Zhong, Yongteng
    • Smart Structures and Systems
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    • v.20 no.4
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    • pp.473-481
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    • 2017
  • This study suggests a simple, convenient and non-destructive method for investigation of the Young's modulus detection in stepped shafts which only utilizes the first-order resonant frequency in flexural mode and dimensions of structures. The method is based on the impulse excitation technique (IET) to pick up the fundamental resonant frequencies. The standard Young's modulus detection formulas for rectangular and circular cross-sections are well investigated in literatures. However, the Young's modulus of stepped shafts can not be directly detected using the formula for a beam with rectangular or circular cross-section. A response surface method (RSM) is introduced to design numerical simulation experiments to build up experimental formula to detect Young's modulus of stepped shafts. The numerical simulation performed by finite element method (FEM) to obtain enough simulation data for RSM analysis. After analysis and calculation, the relationship of flexural resonant frequencies, dimensions of stepped shafts and Young's modulus is obtained. Numerical simulations and experimental investigations show that the IET method can be used to investigate Young's modulus in stepped shafts, and the FEM simulation and RSM based IET formula proposed in this paper is applicable to calculate the Young's modulus in stepped shaft. The method can be further developed to detect mechanical parameters of more complicated structures using the combination of FEM simulation and RSM.