• 제목/요약/키워드: isotropic medium

검색결과 111건 처리시간 0.025초

심장의 전기쌍극자 소스에 의한 토르소 표면 전위의 분포 (The Distribution of the Torso Surface Potentials based on electrical cardiac dipole source)

  • 이경중;이세진;박광리;송근국
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1996년도 춘계학술대회
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    • pp.188-191
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    • 1996
  • This study is to find the distribution of the torso surface potential based on electrical cardiac dipole source. In order to find the torso surface potential, the governing equation was developed based on the Green's second theorem. The boundary element method(BEM) which has a good computing capability in case of homogeneous and isotropic medium was applied to solve the equation. To validate the BEM, we considered a homogeneous sphere model which has an electric dipole source inside. The results showed the good agreement between the analytic solution and the computed solution. In normal heart, the simulated torso surface isopotential maps are good agreement with that obtained from the ventricular excitation. The validity of the simulated results were verified by comparing with other results.

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The effect of carbon nanotubes agglomeration on vibrational response of thick functionally graded sandwich plates

  • Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제24권6호
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    • pp.711-726
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    • 2017
  • In the present work, by considering the agglomeration effect of single-walled carbon nanotubes, free vibration characteristics of functionally graded (FG) nanocomposite sandwich plates resting on Pasternak foundation are presented. The volume fractions of randomly oriented agglomerated single-walled carbon nanotubes (SWCNTs) are assumed to be graded in the thickness direction. To determine the effect of CNT agglomeration on the elastic properties of CNT-reinforced composites, a two-parameter micromechanical model of agglomeration is employed. In this research work, an equivalent continuum model based on the Eshelby-Mori-Tanaka approach is employed to estimate the effective constitutive law of the elastic isotropic medium (matrix) with oriented straight CNTs. The 2-D generalized differential quadrature method (GDQM) as an efficient and accurate numerical tool is used to discretize the equations of motion and to implement the various boundary conditions. The proposed rectangular plates have two opposite edges simply supported, while all possible combinations of free, simply supported and clamped boundary conditions are applied to the other two edges. The benefit of using the considered power-law distribution is to illustrate and present useful results arising from symmetric and asymmetric profiles. The effects of two-parameter elastic foundation modulus, geometrical and material parameters together with the boundary conditions on the frequency parameters of the laminated FG nanocomposite plates are investigated. It is shown that the natural frequencies of structure are seriously affected by the influence of CNTs agglomeration. This study serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analysis of laminated plates.

Nonlocal effects on propagation of waves in a generalized thermoelastic solid half space

  • Singh, Baljeet;Bijarnia, Rupender
    • Structural Engineering and Mechanics
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    • 제77권4호
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    • pp.473-479
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    • 2021
  • The propagation of plane waves in a linear, homogeneous and isotropic nonlocal generalized thermoelastic solid medium is considered in the framework of Lord and Shulman generalization. The governing field equations are formulated and specialized in a plane. Plane wave solutions of governing equations show that there exists three plane waves, namely, P, thermal and SV waves which propagate with distinct speeds. Reflection of P and SV waves from thermally insulated or isothermal boundary of a half-space is considered. The relevant boundary conditions are applied at stress free boundary and a non-homogeneous system of three equations in reflection coefficients is obtained. For incidence of both P and SV waves, the expressions for energy ratios of reflected P, thermal and SV waves are also obtained. The speeds and energy ratios of reflected waves are computed for relevant physical constants of a thermoelastic material. The speeds of plane waves are plotted against nonlocal parameter and frequency. The energy ratios of reflected waves are also plotted against the angle of incidence of P wave at a thermally insulated stress-free surface. The effect of nonlocal parameter is shown graphically on the speeds and energy ratios of reflected waves.

Elastic settlements of identical angular footings in close proximity

  • R. Sarvesha;V. Srinivasan;Anjan Patelb
    • Geomechanics and Engineering
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    • 제32권2호
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    • pp.193-207
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    • 2023
  • In general, the numerous classical approaches available in the literature can anticipate the settlement of shallow foundations. As long as the footings are not in close proximity to other subsurface buildings, the findings achieved using these methods are legitimate and acceptable. However, due to increased urbanisation and land scarcity, footings are frequently built close together. As a result, these footings' settlement behaviour differs from those of isolated footings. A simpler approach for assessing the settlement behaviour of two square or rectangular footings placed in close proximity is presented in this work. A Parametric study has been carried out to examine the interference effect on the settlement of these footings placed in close vicinity on the surface of a homogeneous, isotropic and elastic soil medium. The interaction factors are examined by varying the different aspect ratios (L/B), clear spacing ratio (S/B) and intensity of loading on the right footing with respect to the left footing. Further, variation of the settlement ratio (δ/B) with respect to embedment depth ratio Df/B is examined. For square and rectangular footings, the interference settlement profile is also investigated by varying the clear spacing ratio (S/B) and the degree of loading. The results were compared to 3D finite element analysis and experimental data that were available.

3차원 불균질 횡등방성 매질에 대한 탄성파 초동 주시 모델링 (Seismic First Arrival Time Computation in 3D Inhomogeneous Tilted Transversely Isotropic Media)

  • 정창호;서정희
    • 지구물리와물리탐사
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    • 제9권3호
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    • pp.241-249
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    • 2006
  • 한국의 지질 환경은 암석 분포가 매우 다양하고 복잡한 구조 활동의 영향을 받아 지하매질의 이방성 특성이 국부적으로 심하게 변화한다. 기존의 이방성 주시 모델링의 경우 지질 모델을 2차원으로 단순화시킴으로써 이러한 복잡한 지질 환경을 제대로 고려할 수 없었다. 또한 약 이방성 가정을 사용하여 실제로 나타날 수 있는 지하 매질의 심각한 이방성 영향을 주시 모델링에서 고려할 수 없었다. 이에 이 연구에서는 보다 실제적이고 복잡한 3차원 횡등방성 매질(transversely isotropic media)에서 q-P파의 초동 주시 양상을 모사할 수 있는 주시 모델링 알고리듬을 개발하였다. 이 알고리듬에서는 2차원 비선형 주시 내삽(2D nonlinear traveltime interpolation) 기법과 주시의 3차원 격자 채움법(mapping)을 이용한 직접 전파법(direct calculation)을 통해 급격한 물성의 변화에도 주시 계산이 가능하도록 하였다. 또한, 최소 주시 계산과정에서 수치 미분을 통한 최대 경사법(steepest descent method)을 사용하여 약 이방성 가정을 극복하였다. 개발된 알고리듬은 해석해와 비교하여 그 타당성을 검증하였고 3차원 2층구조에 대한 주시 계산을 수행하여 물성이 급격히 변화하는 모델에 대해서도 안정적으로 주시 계산이 이루어짐을 확인하였다. 이 연구에서 개발한 3차원 주시 모델링 알고리듬은 향후 구조보정이나 토모그래피 알고리듬 개발에 사용될 수 있을 것으로 기대한다.

Gas-Phase Technology and Microstructure of Fullerite Films

  • A.S. Berdinsky;Chun, Hui-Gon;Lee, Jing-Hyuk;Song, Yong-Hwa;Yu. V. Shevtsov
    • 한국표면공학회지
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    • 제37권2호
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    • pp.71-75
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    • 2004
  • The technology of $C_{60}$ fullerite films preparation by means of gas-phase deposition and structure of fullerite films are described. A three-channel flow plant was used to obtain fullerite films. The films were deposited in the flow of inert gas under reduced pressure onto a cooled silicon or sapphire substrate placed inside the reaction chamber of the plant. The plant allows one to obtain the films of pure fullerenes and to synthesise the films from fullerene compounds and doped fullerenes. The structure of two types of films were investigated by FE-SEM and SEM techniques: pure fullerite films onto silicon and sapphire substrates as well as compound films were studied by FE-SEM technique. All samples have shown columnar structure with high level of porosity. The synthesis of films composed of fullerene and its compounds for use in electronics is demonstrated to be promising. For example, experiments confirm the possibility to use fullerite films in sensor electronics to produce humidity and thermal sensors. It is also possible to use the sensitivity of these films to isotropic pressure. The experiments with $C_{60}$-Cu-J films have shown quite strong dependence of their resistance on pressure of different sort of medium-gas that could be used in gas-sensitive sensors. The structure and preparation technology of resistive sensor based on fullerite films are described.bed.

다중절리 암반지층에서의 터널변위 산정을 위한 변형계수에 관한 연구 (A Study on the Deformation Modulus for Tunnel Displacement Assessment in Multi-Jointed Rock Mass)

  • 손무락;이원기
    • 한국지반환경공학회 논문집
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    • 제18권5호
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    • pp.17-26
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    • 2017
  • 절리가 형성된 암반지층에서의 터널굴착은 터널굴착 선을 따라 변위를 유발시키며 이러한 변위값의 산정은 터널의 안정성과 소요공간을 확보하는 것과 관련하여 매우 중요한 사항이다. 터널변위는 지반의 변형계수와 직접적으로 관련되므로 이를 파악하는 것이 무엇보다도 중요하다. 그렇지만, 터널이 건설되는 대부분의 암반지층은 일반적으로 절리가 형성되어 있어서 단순히 균질한 등가탄성매질에 근거하여 절리형성 암반지층의 변형계수를 파악할 수는 없다. 왜냐하면 절리형성 암반지층의 변형계수는 암석의 종류뿐만 아니라 절리조건에 의해서 큰 영향을 받기 때문이다. 따라서 본 연구에서는 터널굴착 조건에서 다양한 절리 및 암석조건을 고려한 암반지층의 변형계수 변화를 조사하였으며 이를 위하여 수치해석적 매개변수연구를 수행하였다. 이를 통한 본 연구의 결과는 기존의 경험적인 방법들과 상호 비교되었으며, 또한 다양한 절리암반을 고려한 변형계수 변화표의 형태로서 제시되었다.

음적차분해석법을 이용한 연직배수 공법에 의한 압밀침하에 관한 연구 (A Study on the Consolidation Settlement Due to the Vertical Drain Method by the Implicit Finite Difference Scheme)

  • 박성재;정두회;정경환;이경준
    • 대한토목학회논문집
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    • 제14권5호
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    • pp.1243-1251
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    • 1994
  • 연직드레인의 유효반경내에서 시간과 압밀도 관계를 계산하기 위해 음적차분해법이 적용되었으며 계산시 과잉간극수압의 소산은 두 방향으로 수행된다. 다단계 성토에 의한 지중응력 증분을 계산하기 위해, 지표면하의 연약지반은 등방균질 탄성체로서 간주하였고 각 단계 순간성토시 초기 과잉간극수압은 포화된 점성토내에서 평면변형률 조건과 탄성단계의 간극수압 응답 상태에 대한 Skempton의 간극수압계수를 이용해 계산하였다. 침하에 대해서는, 즉시 및 1 차 압밀침하량만 계산하였고, 2차 압밀침하는 고려하지 않았다. 계산된 과잉간극수압과 지표침하량이 경과시간에 대한 현성측성치와 유사한 것으로 판정되었으며, 본 연구에 적용된 계산기법(압밀특성이 다른 다층지반으로 구성된 연약지반내에 연직배수공법을 적용하고 성토가 다단계 순간성토로 이루어질 경우 과잉간극수압 소산과정을 음적 차분해법으로 근사계산)은 각 연약층의 시간-압밀도 관계를 예측하는데 이용가능할 것으로 생각된다.

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Using an equivalent continuum model for 3D dynamic analysis of nanocomposite plates

  • Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제20권3호
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    • pp.623-649
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    • 2016
  • Most of the early studies on plates vibration are focused on two-dimensional theories, these theories reduce the dimensions of problems from three to two by introducing some assumptions in mathematical modeling leading to simpler expressions and derivation of solutions. However, these simplifications inherently bring errors and therefore may lead to unreliable results for relatively thick plates. The main objective of this research paper is to present 3-D elasticity solution for free vibration analysis of continuously graded carbon nanotube-reinforced (CGCNTR) rectangular plates resting on two-parameter elastic foundations. The volume fractions of oriented, straight single-walled carbon nanotubes (SWCNTs) are assumed to be graded in the thickness direction. In this study, an equivalent continuum model based on the Eshelby-Mori-Tanaka approach is employed to estimate the effective constitutive law of the elastic isotropic medium (matrix) with oriented, straight carbon nanotubes (CNTs). The proposed rectangular plates have two opposite edges simply supported, while all possible combinations of free, simply supported and clamped boundary conditions are applied to the other two edges. The formulations are based on the three-dimensional elasticity theory. A semi-analytical approach composed of differential quadrature method (DQM) and series solution is adopted to solve the equations of motion. The fast rate of convergence of the method is demonstrated and comparison studies are carried out to establish its very high accuracy and versatility. The 2-D differential quadrature method as an efficient and accurate numerical tool is used to discretize the governing equations and to implement the boundary conditions. The convergence of the method is demonstrated and to validate the results, comparisons are made between the present results and results reported by well-known references for special cases treated before, have confirmed accuracy and efficiency of the present approach. The novelty of the present work is to exploit Eshelby-Mori-Tanaka approach in order to reveal the impacts of the volume fractions of oriented CNTs, different CNTs distributions, various coefficients of foundation and different combinations of free, simply supported and clamped boundary conditions on the vibrational characteristics of CGCNTR rectangular plates. The new results can be used as benchmark solutions for future researches.

Shear wave velocity of fiber reinforced cemented Toyoura silty sand

  • Safdar, Muhammad;Newson, Tim;Schmidt, Colin;Sato, Kenichi;Fujikawa, Takuro;Shah, Faheem
    • Geomechanics and Engineering
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    • 제25권3호
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    • pp.207-219
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    • 2021
  • Several additives are used to enhance the geotechnical properties (e.g., shear wave velocity, shear modulus) of soils to provide sustainable, economical and eco-friendly solutions in geotechnical and geo-environmental engineering. In this study, piezoelectric ring actuators are used to measure the shear wave velocity of unreinforced, fiber, cemented, and fiber reinforced cemented Toyoura sand. One dimensional oedometer tests are performed on medium dense specimens of Toyoura sand-cement-fiber-silica flour mixtures with different percentages of silica flour (0-42%), fiber and cement (e.g., 0-3%) additives. The experimental results indicate that behavior of the mixtures is significantly affected by the concentration of silica flour, fiber and cement additives. Results show that with the addition of 1-3% of PVA fibers, the shear wave velocity increases by only 1-3%. However, the addition of 1-4% of cement increases the shear wave velocity by 8-35%. 10.5-21% increase of silica flour reduces the shear wave velocity by 2-5% but adding 28-42% silica flour significantly reduces the shear wave velocity by 12-31%. In addition, the combined effect of cement and fibers was also found and with only 2% cement and 1% fiber, the shear wave velocity increase was found to be approximately 24% and with only 3% cement and 3% fibers this increased to 35%. The results from this study for the normalized shear modulus and normalized mean effective stress agree well with previous findings on pure Toyoura sand, Toyoura silty sand, fiber reinforced, fiber reinforced cemented Toyoura sand. Any variations are likely due to the difference in stress history (i.e., isotropic versus anisotropic consolidation) and the measurement method. In addition, these small discrepancies could be attributed to several other factors. The potential factors include the difference in specimen sizes, test devices, methods of analysis for the measurement of arrival time, the use of an appropriate Ko to convert the vertical stresses into mean effective stress, and sample preparation techniques. Lastly, it was investigated that there is a robust inverse relationship between α factor and 𝞫0 exponent. It was found that less compressible soils exhibit higher 𝜶 factors and lower 𝞫0 exponents.