• 제목/요약/키워드: Effective Elastic Modulus

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시멘트 혼합토 및 복합지반의 강도, 변형 특성 및 수치해석 (Strength and Deformation Characteristics, and Numerial Analysis for Cement Admixed Clay and Composite Ground)

  • 전제성
    • 한국지반환경공학회 논문집
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    • 제15권8호
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    • pp.51-58
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    • 2014
  • 본 연구에서는 원지반 점토와 시멘트 혼합토를 포함하는 복합지반을 조성하고 이에 대한 실내 일축압축강도 시험을 통해 원지반 점토 함수비 및 치환율, 시멘트 함유율 등에 따른 강도 및 변경 특성치를 분석하였으며, 혼합토에 대한 개별요소 수치모델링을 수행하였다. 시멘트 함유율 15 % 이상에서는 최종적인 복합지반의 강도에 있어 치환율을 증가시키는 것보다 시멘트 함유량 증가 등을 통한 혼합토의 강도를 증가시키는 것이 더욱 유리함을 알 수 있었으며, 회귀분석을 통해 원지반 점성토의 일축압축강도와 시멘트 혼합토의 시멘트 함유율, 복합지반 치환율을 이용하여 최종적인 복합지반의 일축압축강도 및 탄성계수 예측이 가능하였다. 치환율과 함께 최종적인 복합지반의 강도 및 변형 특성치 예측에 가장 중요한 요소인 시멘트 혼합토의 일축압축강도는 실내시험 및 본딩모델이 적용된 3차원 개별요소 수치모델링을 통해 그 검증과 예측이 가능하였다.

단섬유 복합재료의 탄성계수 예측 (Prediction of effective stiffness on short fiber reinforced composite materials)

  • 임태원;한경섭
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.611-617
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    • 1991
  • Effective stiffness of short fiber composite with a three-dimensional random orientation of fibers is derived theoretically and compared with available experimental data. The laminate analogy and transformed laminate analogy are used for modulus prediction of 2-D and 3-D random composites, respectively. The effective stiffness of random oriented fiber composite can be expressed in terms of longitudinal and transverse stiffnesses of unidirectional composites. The result of transformed laminate analogy is more accurate than other approaches such as, Christensen-Waals equational and Lavengood-Goettler equation, etc. Also the effective properties of random oriented fiber composite can be expressed in terms of fiber and matrix properties such as elastic modulus, shear modulus and Poisson's ratio.

단일 현장타설말뚝 기초의 설계 및 시공 (Design and consturction of single drilled shaft foundation)

  • 전경수;김경석;김정열
    • 기술발표회
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    • 통권2006호
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    • pp.86-100
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    • 2006
  • The single drilled shaft foundation has been used in the other countries, but has not used in South Korea at all This foundation is very effective and economic method in South Korea which is easy to meet a good rock mass within 50m depth from the ground We have many experiences to construct 1.52 5m drilled shaft foundations and ability to construct 30m drilled shaft foundation without special efforts The soil behavior is nonlinear, but it can be proposed in linear in practical purpose on bridges. The elastic modulus of soil can be rationally obtained by the method of Road Bridge Design Manual in South Korea using the Schmertmann(1970)'s proposal, and the elastic modulus of rock can be obtained by the field test. In seismic design the column and drilled shaft must be restricted to the elastic design because the behavior of this foundation is flexible and the arrangement of the rebars makes the various defect In this paper the design criteria is compared with FHWA design criteria, and the design criteria is proposed in consistent with Road Bridge Design Manual in South Korea. The single drilled shaft foundation of a test bridge was constructed in the Iksan-Jangsoo highway, and we checked its stability, workability and economy

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나노입자의 크기효과와 체적분율 효과를 동시 고려한 나노복합재의 멀티스케일 브리징 해석기법에 관한 연구 (A Study on the Development of Multiscale Bridging Method Considering the Particle Size and Concentration Effect of Nanocomposites)

  • 양승화;유수영;조맹효
    • 한국전산구조공학회논문집
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    • 제22권4호
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    • pp.343-348
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    • 2009
  • 본 연구에서는 분자동역학 전산모사와 미시역학 모델을 이용하여 나노입자의 체적분율이 높은 경우 나노 입자의 크기효과와 체적분율 효과가 나노복합재의 기계적 물성에 미치는 영향을 효과적으로 묘사할 수 있는 순차적 브리징 해석기법을 제안하였다. 체적분율이 12%로 고정된 상태에서 나노입자의 크기변화에 따른 영률과 전단계수를 분자동역학 전산모사를 통해 예측한 후, 이를 연속체 모델에서 구현하기 위해 다중입자모델을 적용하였다. 나노입자의 크기효과를 반영하기 위해 입자와 기지 사이에 유효계면을 추가적인 상으로 도입하였고, 12%의 체적분율 조건에서 나타날 수 있는 체적분율 효과는 나노복합재를 둘러싸는 가상의 영역인 무한영역의 물성값의 변화를 통해 조절되도록 하였다. 유효계면과 무한영역의 물성을 입자의 반경에 대한 함수로 근사한 후 다양한 입자의 크기에서 나타나는 나노복합재의 물성변화의 예측이 가능하도록 하였다. 제안된 브리징 해석기법의 적용을 통해 분자동역학 해석결과와 잘 일치하는 결과를 연속체 모델에서 효율적이고 정확하게 얻을 수 있었다. 또한 유효계면의 두께와 물성 변화가 나노복합재의 기계적 물성에 미치는 영향을 고찰하였다.

An Analytical Study on Prediction of Effective Elastic Constants of Perforated Plate

  • Lee Jae-Kon;Kim Jin-Gon
    • Journal of Mechanical Science and Technology
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    • 제19권12호
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    • pp.2224-2230
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    • 2005
  • In this study, the validity of the Eshelby-type model for predicting the effective Young's modulus and in-plane Poisson's ratio of the 2-dimensional perforated plate has been investigated in terms of the porosity size and its arrangement. The predicted results by the Eshelby-type model are compared with those by finite element analysis. Whenever the ratio of the porosity size to the specimen size becomes smaller than 0.07, the effective elastic constants predicted by finite element analysis are convergent regardless of the arrangement of the porosities. Under these conditions, the effective Young's moduli of the perforated plate can be predicted within the accuracy of $5\%$ by the Eshelby-type model, which overestimates and underestimates the effective Poisson's ratios by $10\%\;and\;6\%$ for the plates with periodically and non-periodically arranged porosities, respectively.

콘크리트 탄성계수의 미시역학적 추정 (Evaluation of Elastic Modulus of Concrete Using Micro-mechanics Models)

  • 유동우;조호진;송하원;변근주
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1995년도 봄 학술발표회 논문집
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    • pp.345-349
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    • 1995
  • Although heterogeneous materials consisted of micro-constituents are complicated, it is possible to evaulate effective elastic moduli by using micro-mechanics models. In order to evaluate effective elastic moduli of concrete, all aggregates in a representative volume element(RVE) are assumed spherical and randomly distributed. A dilute distribution of inclusions is considered first, and the corresponding overall elastic moduli of the RVE are estimated. Then, the self-consistent method is used in order to take into account the interaction effects. The elastic moduli of concrete are calculated using the models and compared with those of experiment for different volume fractions of the aggregates and elastic moduli of the mortar and the aggregates.

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

  • 박철수;황선근;최찬용;목영진
    • 대한토목학회논문집
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    • 제29권2C호
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    • pp.71-79
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    • 2009
  • 본 연구에서는 국내 철도 토공노반 재료로 가장 흔히 사용되는 입도조정쇄석, 화강풍화토, 암버럭-토사 혼합 재료에 대해 평균유효주응력과 축변형률의 함수로 표현되는 회복탄성계수 예측모델을 결정하였다. 회복탄성계수 예측모델은 대표적인 동적물성치인 변형률에 따른 전단탄성계수 감소곡선의 표현과 같이 최대영탄성계수와 정규화 영탄성계수 감소곡선으로 구성된다. 평균유효주응력의 함수로 표현되는 최대영탄성계수의 모델인자는 $A_E$$n_E$이고, 비선형 영역의 정규화 영탄성계수 감소곡선은 기준변형률(${\varepsilon}_r$)과 곡률계수(a)를 모델인자로 하는 수정 쌍곡선 모델로 표현된다. 제안된 회복탄성계수 예측모델을 검증하기 위해 3차원 다층탄성해석 프로그램(GEOTRACK)을 이용하여 평택 시험 철도노반의 탄성거동을 평가하였고, 화물열차 및 여객열차가 시험구간을 통과할 때 계측한 노반의 수직 탄성변위와 비교하였다. 현장계측은 자갈도상 아래의 재료가 각각 입도조정쇄석과 양질의 화강풍화토인 두 개소에서 수행되었다. 자갈도상 아래에서 계산된 수직 탄성변위는 대략 0.6mm 이내였고 계측 결과와 잘 일치하였다. 본 연구를 통해 제안된 회복탄성계수 예측모델이 열차하중에 의한 노반의 탄성거동을 적절히 표현하고 있음을 확인하였다.

Usefulness of shear wave elastography in the diagnosis of oral and maxillofacial diseases

  • Ogura, Ichiro;Nakahara, Ken;Sasaki, Yoshihiko;Sue, Mikiko;Oda, Takaaki
    • Imaging Science in Dentistry
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    • 제48권3호
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    • pp.161-165
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    • 2018
  • Purpose: To evaluate the usefulness of shear wave elastography in the diagnosis of oral and maxillofacial diseases. Materials and Methods: Ten patients with oral and maxillofacial diseases and 28 volunteers drawn from our student doctors were examined by shear wave elastography with a 14-MHz linear transducer using an Aplio 300 apparatus (Canon Medical Systems, Otawara, Japan). A statistical analysis of the shear elastic modulus(kPa) of healthy tissue (the sublingual gland, submandibular gland, anterior belly of the digastric muscle, and geniohyoid muscle) in the 28 volunteers was performed using 1-way repeated measures analysis of variance with the Tukey honest significant difference test. The maximum shear elastic modulus(kPa) of 8 patients with squamous cell carcinoma (SCC) and 2 patients with benign lesions was evaluated with the Mann-Whitney U test. The analysis used a 5% significance level. Results: The mean shear elastic modulus of the sublingual gland ($9.4{\pm}3.7kPa$) was lower than that of the geniohyoid muscle ($19.2{\pm}9.2kPa$, P=.000) and the anterior belly of the digastric muscle ($15.3{\pm}6.1kPa$, P=.004). The maximum shear elastic modulus of the SCCs($109.6{\pm}14.4kPa$) was higher than that of the benign lesions($46.4{\pm}26.8kPa$, P=.044). Conclusion: Our results demonstrated the usefulness of shear wave elastography in the diagnosis of oral and maxillofacial diseases. Shear wave elastography has the potential to be an effective technique for the objective and quantitative diagnosis of oral and maxillofacial diseases.

연속섬유가 보강된 3상 복합재료의 종방향 전단계수 해석 (Effective Longitudinal Shear Modulus of Continuous Fiber-Reinforced 3-Phase Composites)

  • 정태헌;이동주
    • 대한기계학회논문집A
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    • 제20권9호
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    • pp.2782-2791
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    • 1996
  • The effective longitudinal shear modulus(LSM) of continuous composites is studied theoretically and numerically using 3-phase unit cell model. Circular, hexagonal and rectangular shapes of reinforced fiber are considered to predict the shear modulus as a function of elastic modulus of each phase and volume fraction of interphase and reinforced fiber. It is found that rectangular fiber shape in low fiber volume fraction($v_f$<30%) and circular fiber shape in high volume fraction($v_f$>40%) shows the higher longitudinal shear modulus. Also the obtained values of LSM for rectangular array and by numerical analysis are higher than those of hexagonal array and by theoretical analysis respectively. The reinforcing effects of interphase are more significant in cases of higher fiber volume fraction and circular fiber shape. Not only the spatial distribution and shape of reinforcing fiber but also the volume of interphase have a pronounced effects on the overall LSM. It is also found that the tangent moduous of 2-and 3-phase polymer matrix composites is insensitive to the shape and distribution of reinforcing fibers.

Damage constitutive model of brittle rock considering the compaction of crack

  • Gu, Qingheng;Ning, Jianguo;Tan, Yunliang;Liu, Xuesheng;Ma, Qing;Xu, Qiang
    • Geomechanics and Engineering
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    • 제15권5호
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    • pp.1081-1089
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    • 2018
  • The deformation and strength of brittle rocks are significantly influenced by the crack closure behavior. The relationship between the strength and deformation of rocks under uniaxial loading is the foundation for design and assessment of such scenarios. The concept of relative crack closure strain was proposed to describe the influence of the crack closure behavior on the deformation and strength of rocks. Considering the crack compaction effect, a new damage constitutive model was developed based on accumulated AE counts. First, a damage variable based on the accumulated AE counts was introduced, and the damage evolution equations for the four types of brittle rocks were then derived. Second, a compaction coefficient was proposed to describe the compaction degree and a correction factor was proposed to correct the error in the effective elastic modulus instead of the elastic modulus of the rock without new damage. Finally, the compaction coefficient and correction factor were used to modify the damage constitutive model obtained using the Lemaitre strain equivalence hypothesis. The fitted results of the models were then compared with the experimental data. The results showed that the uniaxial compressive strength and effective elastic modulus decrease with an increase in the relative crack closure strain. The values of the damage variables increase exponentially with strains. The modified damage constitutive equation can be used to more accurately describe the compressive deformation (particularly the compaction stage) of the four types of brittle rocks, with a coefficient of determination greater than 0.9.