• 제목/요약/키워드: mechanics-based model

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불소고분자-방향족 용매계의 비이상적 흡수에 대한 확산 모델식의 적용 (Application of Diffusion Models to Anomalous Sorption in Fluoropolymer-aromatic Solvent Systems)

  • 이상화
    • 멤브레인
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    • 제10권3호
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    • pp.139-147
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    • 2000
  • 불소고분자(ETFE, ECTFE, PVDF)내로 방향족 유기용매(벤젠, 톨루엔, 클로로벤젠)의 비정상 흡수실험에서 non-Fickian (혹은 비이상적인) 확산이 관측되었다. 본 연구에서는 Fick's 법칙에 바탕을 둔 확산모델식(Crank, Long & Richman, Berens & Hopfenberg, Neogi, Li)을 이용하여 방향족 유기용매의 흡수실험에서 관측된 비이상적 흡수데이터론 분석하였다. 모델식의 매개변수 값은 실험데이터와 모델 예측 값의 차이를 최소화하는 least square 법을 이용하여 결정하였다. Fickian 확산으로부터 약간 벗어나는 ETFE 흡수데이터는 앞에서 언급한 모델식들을 이용하여 모두 만족할 만한 결과를 얻었다. 특히 Neogi 모델식은 ETFE-용매계의 고유확산계수(0.4~0.8$\times$$10^-5{cm}^2$/day) 및 평형 확산계수(0.13~0.31$\times$$10^-4{cm}^2$/day), 고분자구조의 이완 속도상수 값을 예측해주었다. PVDF의 전형적인 sigmoidal 흡수데이터에 대해서는 Crank 모델이 비교적 잘 적용되었으며, 초기 확산계수와 평형 확산계수간의 비($D_{\infty}/D_i$)는 80~200의 값을 나타내주었다. 가속적인 흡수데이터를 나타내주는 ECTFE의 경우에는 모든 모델식들의 예측 결과가 상당히 벗어났다. Fickian 확산으로부터 많이 벗어나는 비이상적인 흡수데이터로부터 확산 이동성질과 고분자구조의 이완현상에 대한 정보를 얻기 위해서는 열역학이나 continuum mechanics에 바탕을 둔 새로운 모델식을 적용해야 할 것으로 사료된다.

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Cassini 난형곡선을 활용한 횡등방성 암석 파괴함수 (Failure Function of Transversely Isotropic Rock Based on Cassini Oval)

  • 이연규
    • 터널과지하공간
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    • 제27권4호
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    • pp.243-252
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    • 2017
  • 횡등방성 암석의 파괴거동은 등방성 암석의 경우와 큰 차이가 있으므로 횡등방성 암반에 건설되는 암반구조물의 정밀한 안정성 평가를 위해서는 횡등방 파괴함수의 개발이 필요하다. 이 연구에서는 17세기 천문학자 Cassini가 지구둘레를 도는 태양의 궤도를 모델링하기 위해 제안한 Cassini 난형(卵形)곡선을 기반으로 횡등방성 암석의 강도정수 분포함수를 제안하였다. 제안된 강도정수 분포함수는 횡등방성 암석시료에 대한 삼축압축시험을 통해 실험적으로 결정이 가능한 2개의 모델 파라미터로 정의된다. 제안된 강도정수 분포함수를 마찰각과 점착력의 공간분포함수로 채용하여 기존의 Mohr-Coulomb(M-C) 파괴함수를 3차원 횡등방성 M-C 파괴함수로 확장시켰다. 제안된 횡등방성 M-C 파괴함수의 적합성을 검증하기 위해 횡등방성 암석시료의 삼축압축시험 및 진삼축압축시험을 수치모사하였다. 수치실험을 통해 예측된 결과는 실제 실험실 시험에서 관찰되는 횡등방성 암석의 파괴거동과 부합하였다. 또한 진삼축압축시험 수치모사 결과는 암석강도의 중간주응력 의존성이 암석시료에 포함된 미시적 연약면의 공간분포 특성과 밀접한 관련이 있을 수 있음을 보여주었다.

유도홈을 이용한 효과적인 수압파쇄 모델연구 (A Study on the Model for Effective Hydraulic Fracturing by Using Guide Hole)

  • 문홍주;신성렬;임종세;정우근;장원일
    • 터널과지하공간
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    • 제24권6호
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    • pp.440-448
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    • 2014
  • 수압파쇄 기술은 가스나 석유, 지열 등 에너지자원의 회수율을 향상시키기 위해 다양한 분야에서 응용되고 있으며 수압파쇄 메커니즘 규명 및 응용분야에 대한 연구는 꾸준히 진행되어 왔다. 본 연구에서는 효과적인 수압파쇄를 위하여 실제 현장과 유사한 상황을 구현할 수 있는 축소모형실험을 통해 유도홈의 개수에 따른 수압파쇄시 균열발생 압력을 분석하기 위하여 수압파쇄 시험 장치를 구축하여 수압파쇄 시험을 실시하였다. 또한 그 결과를 토대로 물성과 역학적인 특성을 취득하여 3차원 개별 요소 프로그램인 3DEC을 이용한 수치해석적 모델링 값과 비교 분석함으로써 신뢰성 있는 결과를 도출하고자 하였다. 그 결과 유도홈을 이용할 경우 효과적인 균열 발생이 가능할 것으로 사료된다.

Mechanical characterization of an epoxy panel reinforced by date palm petiole particle

  • Bendada, A.;Boutchicha, D.;Khatir, S.;Magagnini, E.;Capozucca, R.;Wahab, M. Abdel
    • Steel and Composite Structures
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    • 제35권5호
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    • pp.627-634
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    • 2020
  • The past years were marked by an increase in the use of wood waste in civil and mechanical constructions. Date palm waste remains also one of the most solicited renewable and recyclable natural resources in the composition of composite materials. In Algeria, a great amount of this type of plant wastes accumulates every year. In order to make use of this waste, a new wood-epoxy composite material based on date palm petiole particleboard is developed. It makes use of date palm petiole particleboard as reinforcement and epoxy resin as matrix. The size of the particles reinforcement are between 1~3 mm and proportion of reinforcement used is 37%. In this work, experimental and numerical studies are conducted in order to characterize the wood fibre-epoxy plates. Firstly, experimental modal analysis test was carried out to determine Young's modulus of the elaborated material. Then, in order to validate the results, compression test was conducted. Furthermore, additional information about the shear modulus of this material is obtained by performing an experimental modal analysis to extract the first torsional mode. Moreover, a finite element model is developed using ANSYS software to simulate the vibration behaviour of the plates. The results show a good agreement with the experimental modal analysis, which confirms the values of Young's modulus and shear modulus.

Interaction analysis of Continuous Slab Track (CST) on long-span continuous high-speed rail bridges

  • Dai, Gonglian;Ge, Hao;Liu, Wenshuo;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • 제63권6호
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    • pp.713-723
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    • 2017
  • As a new type of ballastless track, longitudinal continuous slab track (CST) has been widely used in China. It can partly isolate the interaction between the ballastless track and the bridge and thus the rail expansion device would be unnecessary. Compared with the traditional track, CST is composed of multi layers of continuous structures and various connecting components. In order to investigate the performance of CST on a long-span bridge, the spatial finite element model considering each layer of the CST structure, connecting components, bridge, and subgrade is established and verified according to the theory of beam-rail interaction. The nonlinear resistance of materials between multilayer track structures is measured by experiments, while the temperature gradients of the bridge and CST are based on the long-term measured data. This study compares the force distribution rules of ballasted track and CST as respectively applied to a long span bridge. The effects of different damage conditions on CST structures are also discussed. The results show that the additional rail stress is small and the CST structure has a high safety factor under the measured temperature load. The rail expansion device can be cancelled when CST is adopted on the long span bridge. Beam end rotation caused by temperature gradient and vertical load will have a significant effect on the rail stress of CST. The additional flexure stress should be considered with the additional expansion stress simultaneously when the rail stress of CST requires to be checked. Both the maximum sliding friction coefficient of sliding layer and cracking condition of concrete plate should be considered to decide the arrangement of connecting components and the ultimate expansion span of the bridge when adopting CST.

Nonlinear FE modelling and parametric study on flexural performance of ECC beams

  • Kh, Hind M.;Ozakca, Mustafa;Ekmekyapar, Talha
    • Structural Engineering and Mechanics
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    • 제62권1호
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    • pp.21-31
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    • 2017
  • Engineered Cementitious Composite (ECC) is a special class of the new generation of high performance fiber reinforced cementitious composites (HPFRCC) featuring high ductility with relatively low fiber content. In this research, the mechanical performance of ECC beams will be investigated with respect to the effect of slag and aggregate size and amount, by employing nonlinear finite element method. The validity of the models was verified with the experimental results of the ECC beams under monotonic loading. Based on the numerical analysis method, nonlinear parametric study was then conducted to evaluate the influence of the ECC aggregate content (AC), ECC compressive strength ($f_{ECC}$), maximum aggregate size ($D_{max}$) and slag amount (${\phi}$) parameters on the flexural stress, deflection, load and strain of ECC beams. The simulation results indicated that when increase the slag and aggregate size and content no definite trend in flexural strength is observed and the ductility of ECC is negatively influenced by the increase of slag and aggregate size and content. Also, the ECC beams revealed enhancement in terms of flexural stress, strain, and midspan deflection when compared with the reference beam (microsilica MSC), where, the average improvement percentage of the specimens were 61.55%, 725%, and 879%, respectively. These results are quite similar to that of the experimental results, which provides that the finite element model is in accordance with the desirable flexural behaviour of the ECC beams. Furthermore, the proposed models can be used to predict the flexural behaviour of ECC beams with great accuracy.

Effect of homogenization models on stress analysis of functionally graded plates

  • Yahia, Sihame Ait;Amar, Lemya Hanifi Hachemi;Belabed, Zakaria;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제67권5호
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    • pp.527-544
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    • 2018
  • In this paper, the effect of homogenization models on stress analysis is presented for functionally graded plates (FGMs). The derivation of the effective elastic proprieties of the FGMs, which are a combination of both ceramic and metallic phase materials, is of most of importance. The majority of studies in the last decade, the Voigt homogenization model explored to derive the effective elastic proprieties of FGMs at macroscopic-scale in order to study their mechanical responses. In this work, various homogenization models were used to derive the effective elastic proprieties of FGMs. The effect of these models on the stress analysis have also been presented and discussed through a comparative study. So as to show this effect, a refined plate theory is formulated and evaluated, the number of unknowns and governing equations were reduced by dividing the transverse displacement into both bending and shear parts. Based on sinusoidal variation of displacement field trough the thickness, the shear stresses on top and bottom surfaces of plate were vanished and the shear correction factor was avoided. Governing equations of equilibrium were derived from the principle of virtual displacements. Analytical solutions of the stress analysis were obtained for simply supported FGM plates. The obtained results of the displacements and stresses were compared with those predicted by other plate theories available in the literature. This study demonstrates the sensitivity of the obtained results to different homogenization models and that the results generated may vary considerably from one theory to another. Finally, this study offers benchmark results for the multi-scale analysis of functionally graded plates.

포화도에 따른 다공질 매체 거동의 이론적 정식화 (Theoretical Formulation of Porous Medium Behavior Depending on Degree of Saturation)

  • 박대효;정소찬;김원철
    • 한국지반환경공학회 논문집
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    • 제2권3호
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    • pp.81-88
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    • 2001
  • 다공질 매체의 거동은 선형 열역학적 다공 탄성 거동, 선형 다공 점성-탄성 거동, 다공소성 거동, 그리고 다공 점성-소성 거동 등으로 모형화가 된다. 또한 시간에 따라 그 거동 양상이 복합적인 형태를 띈다. 다공질 매체는 간극 속의 구성물들이 서로 상대속도를 가지며 상호 작용을 하기 때문에 coupling 효과를 고려한 다공질 매체의 변형 거동에 대한 구성모델의 개발이 필수적이다. 본 논문에서는 균질하고 등방성을 가진 재료들로 이루어진 다공질 매체의 3차원적인 거동을 포화도에 따라 완전 포화시와 부분 포화시로 나누어 연속체 다공 역학의 뼈대 위에 지배방정식들을 구한다. 또한 다공질 매체의 거동을 이해하고 해석할 수 있는 구성모델을 개발할 수 있는 토대를 마련한다. 본 연구가 확장될 경우 다공질 매체의 정확한 거동 해석과 변형량 예측이 이루어질 수 있을 것이다. 특히 도시 고형화 폐기물 매립지반의 3차원적인 거동을 해석할 수 있는 기초가 마련되어 비균질하고 이방성을 가진 재료들로 이루어진 다공질 매체 지반의 활용이 활발하게 이루어 질 것으로 기대된다.

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레일손상에 의한 윤중증가를 고려한 표면균열 성장예측 (Prediction of Surface Crack Growth Considering the Wheel Load Increment Due to Rail Defect)

  • 전현규;최진유;나성훈;유원희
    • 한국정밀공학회지
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    • 제28권9호
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    • pp.1078-1085
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    • 2011
  • Prediction of a minimum crack size for growth, which is defined as a crack size that grows fast enough to keep ahead of its removal by contact wear and periodic grinding, is the most demanding work to prevent rail from fatigue failure and develop cost effective railway maintenance strategy In this study, we investigated the wheel load increment due to a rail defect during a train ran over it, and its effect on the minimum crack size for growth. For this purpose, we developed simulation software based on the Fletcher and Kapoor's "2.5D" model and measured wheel load increment during a train passed over a defect. A maximum contact pressure and contact patch size were calculated by 3D FEM and crack growth analyses were performed by varying two of dominant contact contributors; surface friction coefficient(0.1, 0.2, 0.3 and 0.4) and crack aspect ratio. The minimum crack sizes for growth were calculated from 0.29 to 1.44mm depending on the contact conditions. They were decreasing with increasing surface friction coefficient and decreasing with crack aspect ratio(a/b).

Bending analysis of functionally graded thick plates with in-plane stiffness variation

  • Mazari, Ali;Attia, Amina;Sekkal, Mohamed;Kaci, Abdelhakim;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • 제68권4호
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    • pp.409-421
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    • 2018
  • In the present paper, functionally graded (FG) materials are presented to investigate the bending analysis of simply supported plates. It is assumed that the material properties of the plate vary through their length according to the power-law form. The displacement field of the present model is selected based on quasi-3D hyperbolic shear deformation theory. By splitting the deflection into bending, shear and stretching parts, the number of unknowns and equations of motion of the present formulation is reduced and hence makes them simple to use. Governing equations are derived from the principle of virtual displacements. Numerical results for deflections and stresses of powerly graded plates under simply supported boundary conditions are presented. The accuracy of the present formulation is demonstrated by comparing the computed results with those available in the literature. As conclusion, this theory is as accurate as other shear deformation theories and so it becomes more attractive due to smaller number of unknowns. Some numerical results are provided to examine the effects of the material gradation, shear deformation on the static behavior of FG plates with variation of material stiffness through their length.