• Title/Summary/Keyword: Linear moduli

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Changes of Effective Elastic Moduli due to Crack Growth in Rock (암석내의 균열전파에 따른 유효탄성계수의 변화)

  • 신종진;전석원
    • Tunnel and Underground Space
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    • v.10 no.3
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    • pp.301-308
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    • 2000
  • Non-linear behavior of rock under compression can be predicted by a crack model. Crack growth in rock renders rock anisotropic. The degree of anisotropy is explained in terms of elastic moduli as a function of load level. In this study, we calculate the changes of elastic moduli due to crack growth numerically by using a crack model and compare these values with experimental results obtained from the measurement of ultrasonic wave velocities. Image processing technique is used to obtain the initial crack information needed for the numerical calculation of elastic moduli.

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Evolution of Remnant State Variables and Linear Material Moduli in a PZT Cube under Compressive Stress at Room and High Temperatures (상온과 고온에서 압축하중을 받는 PZT에서의 잔류상태변수와 선형재료상수의 변화)

  • Ji, Dae Won;Kim, Sang-Joo
    • Journal of the Korean Ceramic Society
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    • v.50 no.1
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    • pp.82-86
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    • 2013
  • A poled lead zirconate titanate (PZT) cube specimen is subjected to impulse-type compressive stress with increasing magnitude in parallel to the poling direction at four room and high temperatures. During the ferroelastic domain switching induced by the compressive stress, electric displacement in the poling direction and longitudinal and transverse strains are measured. Using the measured responses, linear material properties, namely, the piezoelectric and elastic compliance coefficients, are evaluated by a graphical method, and the effects of stress and temperature are analyzed. Finally, the dependency of the evaluated linear material properties on relative remnant polarization is analyzed and discussed.

Nonlinear large deflection buckling analysis of compression rod with different moduli

  • Yao, Wenjuan;Ma, Jianwei;Gao, Jinling;Qiu, Yuanzhong
    • Structural Engineering and Mechanics
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    • v.54 no.5
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    • pp.855-875
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    • 2015
  • Many novel materials exhibit a property of different elastic moduli in tension and compression. One such material is graphene, a wonder material, which has the highest strength yet measured. Investigations on buckling problems for structures with different moduli are scarce. To address this new problem, firstly, the nondimensional expression of the relation between offset of neutral axis and deflection curve is derived based on the phased integration method, and then using the energy method, load-deflection relation of the rod is determined; Secondly, based on the improved constitutive model for different moduli, large deformation finite element formulations are developed and combined with the arc-length method, finite element iterative program for rods with different moduli is established to obtain buckling critical loads; Thirdly, material mechanical properties tests of graphite, which is the raw material of graphene, are performed to measure the tensile and compressive elastic moduli, moreover, buckling tests are also conducted to investigate the buckling behavior of this kind of graphite rod. By comparing the calculation results of the energy method and finite element method with those of laboratory tests, the analytical model and finite element numerical model are demonstrated to be accurate and reliable. The results show that it may lead to unsafe results if the classic theory was still adopted to determine the buckling loads of those rods composed of a material having different moduli. The proposed models could provide a novel approach for further investigation of non-linear mechanical behavior for other structures with different moduli.

Changes of Effective Elastic Moduli due to Crack Growth in Rock (암석내의 균열전파에 따른 유효탄성계수의 변화)

  • 신종진;전석원
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 2000.09a
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    • pp.47-55
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    • 2000
  • Non-linear behavior of rock under compression can be predicted by a crack model. Crack growth in rock renders rock anisotropic. The degree of anisotropy is explained in terms of elastic moduli as a function of load level. In this study, we calculate the changes of elastic moduli due to crack growth numerically by using a crack model and compare these values with experimental results obtained from the measurement of ultrasonic wave velocities. Image processing technique is used to obtain the initial crack information needed for the numerical calculation of elastic moduli.

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Non-Linear Behavior Analysis for Stratospheric Airship Envelope (성층권 비행선 기낭 막재료에 대한 비선형 거동 연구)

  • Suh Young Wook;Woo Kyeongsik
    • Composites Research
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    • v.18 no.2
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    • pp.30-37
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    • 2005
  • In this paper, geometrically non-linear finite element analyses were performed to study the mechanical behavior of the material system of the envelope of stratospheric airships. The microstructure of the load-bearing plain weave layer was identified and modeled. The Updated Lagrangian formulation was employed to consider the geometric non-linearity as well as the induced structural non-linearity for the fiber tows. The stress-strain behavior was predicted and the effective elastic modulus was calculated by numerical experiments. It was found the non-linear stress-strain curves were largely different from those by linear analysis. And non-linear elastic moduli were much higher than linear elastic moduli. The difference was more distinguishable when the tow waviness ratio was smaller.

A Study on the Spreadability Characteristics of Asphalt Concrete Pavement using Dynaflect (DYNAFLECT에 의한 아스팔트 콘크리트 포장도로의 분산도 특성에 관한 연구)

  • Kim, Su-Il;Choe, Jeong-Hun;Yu, Ji-Hyeong
    • Geotechnical Engineering
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    • v.3 no.1
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    • pp.53-64
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    • 1987
  • Dynaflect is known as a very effective equipment for the structural evaluation and rehabilitation of Pavements. It is increasingly used in the design, construction and maintenance of the various pavement structures. In this study, two-layered asphalt concrete pavements with the various moduli and thicknesses are selected as the analytical models. The deflections on the surface corresponding to sensor positions of Dynaflect are analyzed utilizing the multi-layered elastic computer program. From the study of the characteristics of spreadability (SPR), it is found that the SPRs are unique when the moduli ratio of pavements EIIE2 are identical. It is also found that the SPR has a linear relationship with the logarithm of moduli ratio ElIE2 in the range of 1.0 to 50. The regression equation to predict the moduli ratio ElyE2 from the SPR and the pavement taickness h is proposed. A series of charts to estimate the elastic moduli of two-layered asphalt concrete pavement system are also developed.

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Setting and Hardening of Portland Cement Mortar Investigated with Wave Reflection Factor (WRF를 이용한 모르터의 응결 및 경화 예측)

  • ;Thomas , Voigt;Surendra P. Shah
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.834-839
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    • 2003
  • Previous research has been conducted on an ultrasonic wave reflection method that utilizes a steel plate embedded in the concrete to measure the reflection loss of shear waves at the steel-concrete interface. The reflection loss has been shown to have a linear relationship to compressive strength at early ages. The presented investigations continue this research by examining the fundamental relationship between the reflection loss, measured with shear waves, and the hydration kinetics of Portland cement mortar, represented by dynamic elastic moduli, compressive strength and degree of hydration. Dynamic elastic moduli are measured by fundamental resonant frequency and degree of hydration is determined by thermogravimetric analysis. The water/cement ratio was varied for the tested mixture compositions. The results presented herein show that compressive strength, dynamic shear modulus and degree of hydration have a linear relationship to the reflection loss for the tested mortars at early ages.

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MLR & ANN approaches for prediction of compressive strength of alkali activated EAFS

  • Ozturk, Murat;Cansiz, Omer F.;Sevim, Umur K.;Bankir, Muzeyyen Balcikanli
    • Computers and Concrete
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    • v.21 no.5
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    • pp.559-567
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    • 2018
  • In this study alkali activation of Electric Arc Furnace Slag (EAFS) is studied with a comprehensive test program. Three different silicate moduli (1-1,5-2), three different sodium concentrations (4%-6%-8%) for each silicate module, two different curing conditions (45%-98% relative humidity) for each sodium concentration, two different curing temperatures ($400^{\circ}C-800^{\circ}C$) for each relative humidity condition and two different curing time (6h-12h) for each curing temperature variables are selected and their effects on compressive strength was evaluated then regression equations using multiple linear regressions methods are fitted. And then to select the best regression models confirm with using the variables, the regression models compared between itself. An Artificial Neural Network (ANN) models that use silicate moduli, sodium concentration, relative humidity, curing temperature and curing time variables, are formed. After the investigation of these ANN models' results, ANN and multiple linear regressions based models are compared with each other. After that, an explicit formula is developed with values of the ANN model. As a result of this study, the fluctuations of data set of the compressive strength were very well reflected using both of the methods, multiple linear regression with quadratic terms and ANN.

RECENT PROGRESS IN STRING INFLATIONARY COSMOLOGY

  • REY Soo-JONG
    • Journal of The Korean Astronomical Society
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    • v.29 no.spc1
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    • pp.11-14
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    • 1996
  • Super-inflation driven by dilaton/moduli kinetic energy is naturally realized in compactified string theory. Discussed are selected topics of recent development in string inflationary cosmology: kinematics of super-inflation, graceful exit triggered by quantum back-reaction, and classical and quantum power spectra of density and metric perturbations.

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