• 제목/요약/키워드: Elastic Shear Modulus

검색결과 300건 처리시간 0.029초

Static stability and vibration response of rotating carbon-nanotube-reinforced composite beams in thermal environment

  • Ozge Ozdemir;Huseyin Ural;Alexandre de Macedo Wahrhaftig
    • Advances in nano research
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    • 제16권5호
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    • pp.445-458
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    • 2024
  • The objective of this paper is to present free vibration and static stability analyses of rotating composite beams reinforced with carbon nanotubes (CNTs) under uniform thermal loads. Beam structural equations and CNT-reinforced composite (CNTRC) beam formulations are derived based on Timoshenko beam theory (TBT). The temperature-dependent properties of the beam material, such as the elastic modulus, shear modulus, and material density, are assumed to vary over the thickness according to the rule of mixture. The beam material is modeled as a mixture of single-walled carbon nanotubes (SWCNTs) in an isotropic matrix. The SWCNTs are aligned and distributed in the isotropic matrix with different patterns of reinforcement, namely the UD (uniform), FG-O, FG-V, FG- Λ and FG-X distributions, where FG-V and FG- Λ are asymmetric patterns. Numerical examples are presented to illustrate the effects of several essential parameters, including the rotational speed, hub radius, effective material properties, slenderness ratio, boundary conditions, thermal force, and moments due to temperature variation. To the best of the authors' knowledge, this study represents the first attempt at the finite element modeling of rotating CNTRC Timoshenko beams under a thermal environment. The results are presented in tables and figures for both symmetric and asymmetric distribution patterns, and can be used as benchmarks for further validation.

In situ viscoelastic properties of insoluble and porous polysaccharide biopolymer dextran produced by Leuconostoc mesenteroides using particle-tracking microrheology

  • Jeon, Min-Kyung;Kwon, Tae-Hyuk;Park, Jin-Sung;Shin, Jennifer H.
    • Geomechanics and Engineering
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    • 제12권5호
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    • pp.849-862
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    • 2017
  • With growing interests in using bacterial biopolymers in geotechnical practices, identifying mechanical properties of soft gel-like biopolymers is important in predicting their efficacy in soil modification and treatment. As one of the promising candidates, dextran was found to be produced by Leuconostoc mesenteroides. The model bacteria utilize sucrose as working material and synthesize both soluble and insoluble dextran which forms a complex and inhomogeneous polymer network. However, the traditional rheometer has a limitation to capture in situ properties of inherently porous and inhomogeneous biopolymers. Therefore, we used the particle tracking microrheology to characterize the material properties of the dextran polymer. TEM images revealed a range of pore size mostly less than $20{\mu}m$, showing large pores > $2{\mu}m$ and small pores within the solid matrix whose sizes are less than $1{\mu}m$. Microrheology data showed two distinct regimes in the bacterial dextran, purely viscous pore region of soluble dextran and viscoelastic region of the solid part of insoluble dextran matrix. Diffusive beads represented the soluble dextran dissolved in an aqueous phase, of which viscosity was three times higher than the growth medium viscosity. The local properties of the insoluble dextran were extracted from the results of the minimally moving beads embedded in the dextran matrix or trapped in small pores. At high frequency (${\omega}>0.2Hz$), the insoluble dextran showed the elastic behavior with the storage modulus of ~0.1 Pa. As frequency decreased, the insoluble dextran matrix exhibited the viscoelastic behavior with the decreasing storage modulus in the range of ${\sim}0.1-10^{-3}Pa$ and the increasing loss modulus in the range of ${\sim}10^{-4}-1\;Pa$. The obtained results provide a compilation of frequency-dependent rheological or viscoelastic properties of soft gel-like porous biopolymers at the particular conditions where soil bacteria produce bacterial biopolymers in subsurface.

퇴적연암의 비선형특성 조사.시험기법에 관한 연구 (A Study on Field and Laboratory Test Methods to Obtain Non-linear Deformation Characteristics of Soft Rocks)

  • 김유성
    • 한국지반공학회지:지반
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    • 제12권5호
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    • pp.63-78
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    • 1996
  • 퇴적연암의 변형특성을 조사하기 위하여 여러 종류의 실내시험과 원위치시험결과를 비교검토 하였다. 초음파측정시험 등의 실내시험에서 불구속 시료의 탄성계수는 원위치유효토피압에 해당하는 압밀구속압으로 구속한 시료의 탄성계수 보다 현저히 작았다. 또 삼축압축시험에서 재하피 스톤의 축변위로 부터 구한 축변형률은 시료 상.하단에서의 오차(bedding error)로 인하여 정확히 측정할 수 없고, 전체적으로 신뢰할 수 없다. 따라서 시료측면에서 직접 변형률을 측정하는 국소변형측정장치를 이용하여 0.001% 이하에서 약 1%까지 연속적으로 위와 같은 오차를 제거한 축변형률을 얻을 수 있었고, 0.00% 이하 축변형률에서 정의된 탄성계수 Emax는 원위치탄성 파속도시험으로 얻어진 탄성계수 Er와 거의 일치하였다. 변형률이 0.01%에 도달하기 이전에 변형은 비선형성을 보이기 시작하고, 실제 원위치 작용하중 범위에서 예상할 수 있는 최대변형률 0.1%에서의 할선탄성계수 Esec는 Emax의 1/2보다 여전히 큰 값을 보인다. 위와 같은 내용을 골자로 하여 정밀측정실내시험 결과에 따른 변형특성과 현장거동 및 원위치측정결과의 비교검토를 통해 변형률레벨을 고려한 원위치 탄성계수 추정법을 제안하였다.

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다중시험편 시험에 의한 평면이방성 암석의 탄성상수 분석연구 제 2 보 - 자료의 통계적 평가와 참값의 결정 (Experimental Study on the Elastic Constants of A Transversely Isotropic Rock by Multi-Specimen Compression Tests Report 2 - Statistical Evaluation and Determination of True Values of Elastic Constants)

  • 박철환;박찬;정용복
    • 터널과지하공간
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    • 제22권5호
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    • pp.346-353
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    • 2012
  • 한 개의 평면이방성 시험편으로부터 5개의 독립적 탄성상수를 결정할 수 있는 방법을 찾기 위하여 다중 시험편 시험을 수행하였다. 실험에는 유상구조가 뚜렷한 유문암의 7개의 서로 다른 각도를 갖는 총 35개 시험편을 사용하였다. 제 2보인 본 연구에서는 측정된 변형률과 해석된 탄성상수를 통계적으로 분석하고 참값을 결정하는데 중점을 두었다. 통계분석의 결과로서, 측정자료의 신뢰성은 충분히 확보되었으며, 15도 시료를 제외한 시료에서 SV 식의 적용성이 매우 높은 것으로 밝혀졌다. 각도가 증가함에 따라 탄성상수의 상대표준편차는 대체로 작아지는 경향진다. 이는 측정값의 편차가 작아지기 때문에 발생하는 현상이기도 하지만, 각도가 클수록 SV 식이 잘 적용되기 때문이라고 유추할 수 있다. 분석된 5개의 탄성상수의 크기는 높은 신뢰성을 갖고 있어 실험에서 얻을 수 있는 참값이라 할 수 있다. 그러나 이러한 값으로부터 예측한 겉보기 탄성계수는 실측된 크기들을 표현할 수 없는 것으로 판명되었다. 이러한 불일치로 미루어 겉보기 탄성계수의 크기를 감소시키거나 또는 전단변형률이 증가시키는 요인이 실험이나 평면이방성 특성에 존재한다고 판단된다.

Soil-structure interaction effects on seismic behavior of a hyperbolic cooling tower using three-parameter Vlasov foundation model

  • Karakas, Ali I.;Ozgan, Korhan;Daloglu, Ayse T.
    • Earthquakes and Structures
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    • 제14권1호
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    • pp.85-94
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    • 2018
  • The paper focuses on the seismic responses of a hyperbolic cooling tower resting on soil foundation represented by the three-parameter Vlasov elastic soil model. The three-parameter soil model eliminates the necessity of field testing to determine soil parameters such as reaction modulus and shear parameter. These parameters are calculated using an iterative procedure depending on the soil surface vertical deformation profile in the model. The soil and tower system are modeled in SAP2000 structural analysis program using a computing tool coded in MATLAB. The tool provides a two-way data transfer between SAP2000 and MATLAB with the help of Open Application Programming Interface (OAPI) feature of SAP2000. The response spectrum analyses of the tower system with circular V-shaped supporting columns and annular raft foundation on elastic soil are conducted thanks to the coded tool. The shell and column forces and displacements are presented for different soil conditions and fixed raft base condition to investigate the effects of soil-structure interaction. Numerical results indicate that the flexibility of soil foundation leads to an increase in displacements but a decrease in shell membrane and column forces. Therefore, it can be stated that the consideration of soil-structure interaction in the seismic response analysis of the cooling tower system provides an economical design process.

Analytical solution and experimental study of membrane penetration in triaxial test

  • Ji, Enyue;Zhu, Jungao;Chen, Shengshui;Jin, Wei
    • Geomechanics and Engineering
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    • 제13권6호
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    • pp.1027-1044
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    • 2017
  • Membrane penetration is the most important factor influencing the measurement of volume change for triaxial consolidated-drained shear test for coarse-grained soil. The effective pressure p, average particle size $d_{50}$, thickness $t_m$ and elastic modulus $E_m$ of membrane, contact area between membrane and soil $A_m$ as well as the initial void ratio e are the major factors influencing membrane penetration. According to the membrane deformation model given by Kramer and Sivaneswaran, an analytical solution of the membrane penetration considering the initial void ratio is deduced using the energy conservation law. The basic equations from theory of plates and shells and the elastic mechanics are employed during the derivation. To verify the presented solution, isotropic consolidation tests of a coarse-grained soil are performed by using the method of embedding different diameter of iron rods in the triaxial samples, and volume changes due to membrane penetration are obtained. The predictions from presented solution and previous analytical solutions are compared with the test results. It is found that the prediction from presented analytical solution agrees well with the test results.

The influence of BaO on the mechanical and gamma / fast neutron shielding properties of lead phosphate glasses

  • Mahmoud, K.A.;El-Agawany, F.I.;Tashlykov, O.L.;Ahmed, Emad M.;Rammah, Y.S.
    • Nuclear Engineering and Technology
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    • 제53권11호
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    • pp.3816-3823
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    • 2021
  • The mechanical features evaluated theoretically using Makishima-Mackenzie's model for glasses xBaO-(50-x) PbO-50P2O5 where x = 0, 5, 10, 15, 20, 30, 40, and 50 mol%. Wherefore, the elastic characteristics; Young's, bulk, shear, and longitudinal modulus calculated. The obtained result showed an increase in the calculated values of elastic moduli with the replacement of the PbO by BaO contents. Moreover, the Poisson ratio, micro-hardness, and the softening temperature calculated for the investigated glasses. Besides, gamma and neutron shielding ability evaluated for the barium doped lead phosphate glasses. Monte Caro code (MCNP-5) and the Phy-X/PSD program applied to estimate the mass attenuation coefficient of the studied glasses. The decrease in the PbO ratio has a negative effect on the MAC. The highest MAC decreased from 65.896 cm2/g to 32.711 cm2/g at 0.015 MeV for BPP0 and BPP7, respectively. The calculated values of EBF and EABF showed that replacement of PbO with BaO contents in the studied BPP glasses helps to reduce the number of photons accumulated inside the studied BPP glasses.

전단파, 전자기파 및 콘 관입저항력을 이용한 직접전단실험시 전단영역 특성 평가 (Evaluation of Shear Zone in Direct Shear Test Using Elastic, Electromagnetic Waves and Cone Tip Resistance)

  • 변용훈;쭝꽝훙;짠밍콰;이종섭
    • 한국지반공학회논문집
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    • 제27권2호
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    • pp.43-52
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    • 2011
  • 조립토로 구성된 지반구조물의 안정성은 전단변형에 따른 전단영역의 특성변화에 의해 영향을받는다. 본 연구의 목적은 전단파와 전기비저항 및 콘 선단저항력을 이용하여 직접전단실험시 발생하는 전단영역의 특성을 파악하는 것이다. 전단영역의 특성을 파악하기 위하여, 아크릴 재질로 직접전단상자를 제작하였으며, 직접전단상자의 벽면에는 전단파와 전기비저항의 측정을 위하여 벤더엘리먼트와 전기비저항 프로브를 설치하였다. 벤더엘리먼트와 전기비저항 프로브는 전단영역과 비전단영역에 각각 설치되어, 전단변형에 따른 조립토의 거동을 비교할 수 있도록 하였다. 또한, 콘 선단저항력을 측정할 수 있도록 개발한 마이크로 콘을 첨두강도상태와 잔류강도상태에서 관입하여 깊이에 따른 시료의 강도분포를 관찰하였다. 실험결과, 바닥부근과 하부전단영역에서는 전단변형에 따른 전단파 속도는 일정하였지만, 상부전단영역에서의 전단파 속도는 증가하였다. 또한, 바닥부근의 전기비저항은 변화가 없는 반면, 하부전단영역에서 전기비저항은 상대밀도에 따라 수직변형률과 반비례관계로 나타났다. 콘 선단저항력의 변화도 전단파 속도의 변화와 유사하게 상부전단영역에서 큰 변화가 관찰되었다. 본 논문에서 제시한 직접전단실험시 전단파와 전기비저항을 관찰하는 것과 실험완료 후 콘 관입실험은 조립토의 전단영역 특성을 파악하기 위한 매우 효과적인 방법이 될 수 있음을 보여준다.

Rheological Evaluation of Petroleum Jelly as a Base Material in Ointment and Cream Formulations : Linear Viscoelastic Behavior

  • Park, Eun-Kyoung;Song, Ki-Won
    • Journal of Pharmaceutical Investigation
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    • 제41권3호
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    • pp.161-171
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    • 2011
  • The objective of the present study is to systematically characterize a linear viscoelastic behavior of petroleum jelly in small amplitude oscillatory shear flow fields correspondent to the rheological ground state. With this aim, using a strain-controlled rheometer, the dynamic viscoelastic properties of commercially available petroleum jelly have been measured at $37^{\circ}C$ (body temperature) over a wide range of angular frequencies at an extremely small strain amplitude of 0.1 %. In this article, the linear viscoelastic behavior was reported in detail and then explained from a structural view-point of petroleum jelly and discussed in depth with respect to the consumer's requirements. Main findings obtained from this study can be summarized as follows : (1) The storage modulus is always greater than the loss modulus over an entire range of angular frequencies studied, meaning that the linear viscoelastic behavior of petroleum jelly is dominated by an elastic nature rather than a viscous nature. (2) Petroleum jelly shows a desirable linear viscoelastic behavior with respect to the consumer's requirements because it is undesirable for the product to flow down from the skin at an initial stage upon contact with the human skin. (3) A fractional derivative model shows an excellent applicability to describe a linear viscoelastic behavior of petroleum jelly. However, this model should be used with a special caution because there exists no physical meaning for the model parameters. (4) A modified form of the Cox-Merz rule gives a good ability to predict the relationship between steady shear flow properties (nonlinear behavior) and dynamic viscoelastic properties (linear behavior) for petroleum jelly.

전단응력비 개념에 기초한 강화노반의 영구변형 모델 수립 (Development of A Permanent Deformation Model based on Shear Stress Ratio for Reinforced-Roadbed Materials)

  • 임유진;이성혁;김대성;박미연
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2011년도 정기총회 및 추계학술대회 논문집
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    • pp.2049-2056
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    • 2011
  • The reinforced-roadbed materials composed of crushed stones are used for preventing vertical deformation and reducing impact load caused by highspeed train. Repeated load application can induce deformation in the reinforced-roadbed layer so that it causes irregularity of track. Thus it is important to understand characteristics of permanent deformation in the reinforced-subbase materials. The characteristics of permanent deformation can be simulated by prediction model that can be obtained by performing repetitive triaxial test. The prediction model of permanent deformation is a key-role in construction of design method of track. The prediction model of permanent deformation is represented in usual as the hyperbolic function with increase of number of load repetition. The prediction model is sensitive to many factors including stress level etc. so that it is important to define parameters of the model as clearly as possible. Various data obtained from repetitive triaxial test and resonant column test using the reinforced-roadbed of crushed stone are utilized to develop a new prediction model based on concept of shear-stress ratio and elastic modulus. The new prediction model of permanent deformation can be adapted for developing design method of track in the future.

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