• 한국광학회지
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• 제14권1호
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• pp.1-7
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• 2003

유기발광물질 Alq$_3$ 복소굴절률을 양자역학적 흡수이론인 바탕인 포로히-블루머(Forouhi-Bloomer) 분산식[Phys. Rev. B 34. 7018(1986)]을 이용하여 1.5~6 ev의 영역에서 계산하였다. 분광광도계를 이용하여 측정한 Alq$_3$ 박막의 흡수 스펙트럼에서 흡수 피크의 위치와 폭으로부터 포로히-블루머 분산식의 변수 $A_{i}$ , B$_{i}$, $C_{i}$ 의 초기 근사값을 결정하였다. 기판으로 사용한 비정질실리카(fused silica)의 굴절률은 분광광도계로부터 측정된 투과율과 반사율 스펙트럼으로부터 셀마이어(Sellmeier)분산식을 적용하여 계산하였다. 기판의 굴절률과 분광광토계에서 측정한 Alq$_3$박막의 투과율과 반사율 스펙트럼에 포로히-블루머 분산식을 이용한 비선형 최소자승법 곡선맞춤을 하여 Alq$_3$의 복소굴절률을 계산할 수 있었다.

• Computers and Concrete
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• 제19권4호
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• pp.419-427
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• 2017

With the rising global environmental awareness on energy saving and carbon reduction, as well as the environmental transition and natural disasters resulted from the greenhouse effect, waste resources should be efficiently used to save environmental space and achieve environmental protection principle of "sustainable development and recycling". This study used recycled cement mortar and adopted the volumetric method for experimental design, which replaced cement (0%, 10%, 20%, 30%) with recycled materials (fly ash, slag, glass powder) to test compressive strength and ultrasonic pulse velocity (UPV). The hyperbolic function for nonlinear multivariate regression analysis was used to build prediction models, in order to study the effect of different recycled material addition levels (the function of $R_m$(F, S, G) was used and be a representative of the content of recycled materials, such as fly ash, slag and glass) on the compressive strength and UPV of cement mortar. The calculated results are in accordance with laboratory-measured data, which are the mortar compressive strength and UPV of various mix proportions. From the comparison between the prediction analysis values and test results, the coefficient of determination $R^2$ and MAPE (mean absolute percentage error) value of compressive strength are 0.970-0.988 and 5.57-8.84%, respectively. Furthermore, the $R^2$ and MAPE values for UPV are 0.960-0.987 and 1.52-1.74%, respectively. All of the $R^2$ and MAPE values are closely to 1.0 and less than 10%, respectively. Thus, the prediction models established in this study have excellent predictive ability of compressive strength and UPV for recycled materials applied in cement mortar.

• Structural Engineering and Mechanics
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• 제72권6호
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• pp.713-722
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• 2019

Micromechanics is a technique for the analysis of composites or heterogeneous materials which focuses on the components of the intended structure. Each one of the components can exhibit isotropic behavior, but the microstructure characteristics of the heterogeneous material result in the anisotropic behavior of the structure. In this research, the general mechanical properties of a 3D anisotropic and heterogeneous Representative Volume Element (RVE), have been determined by applying periodic boundary conditions (PBCs), using the Asymptotic Homogenization Theory (AHT) and strain energy. In order to use the homogenization theory and apply the periodic boundary conditions, the ABAQUS scripting interface (ASI) has been used along with the Python programming language. The results have been compared with those of the Homogeneous Boundary Conditions method, which leads to an overestimation of the effective mechanical properties. According to the results, applying homogenous boundary conditions results in a 33% and 13% increase in the shear moduli G₂₃ and G₁₂, respectively. In polymeric composites, the fibers have linear and brittle behavior, while the resin exhibits a non-linear behavior. Therefore, the nonlinear effects of resin on the mechanical properties of the composite material is studied using a user-defined subroutine in Fortran (USDFLD). The non-linear shear stress-strain behavior of unidirectional composite laminates has been obtained. Results indicate that at arbitrary constant stress as 80 MPa in-plane shear modulus, G₁₂, experienced a 47%, 41% and 31% reduction at the fiber volume fraction of 30%, 50% and 70%, compared to the linear assumption. The results of this study are in good agreement with the analytical and experimental results available in the literature.

• Korea-Australia Rheology Journal
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• 제13권1호
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• pp.29-35
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• 2001

The development of filament stretching extensional rheometers over the past decade has enabled the systematic measurement of the transient extensional stress growth in dilute and semi-dilute polymer solutions. The strain-hardening in the extensional viscosity of dilute solutions overwhelms the perturbative effects of capillarity, inertia & gravity and the kinematics of the extensional deformation become increasingly homogeneous at large strains. This permits the development of a robust open-loop control algorithm for rapidly realizing a deformation with constant stretch history that is desired for extensional rheometry. For entangled fluids such as concentrated solutions and melts the situation is less well defined since the material functions are governed by the molecular weight between entanglements, and the fluids therefore show much less pronounced strain-hardening in transient elongation. We use experiments with semi-dilute/entangled and concentrated/entangled monodisperse polystyrene solutions coupled with time-dependent numerical computations using nonlinear viscoelastic constitutive equations such as the Giesekus model in order to show that an open-loop control strategy is still viable for such fluids. Multiple iterations using a successive substitution may be necessary, however, in order to obtain the true transient extensional viscosity material function. At large strains and high extension rates the extension of fluid filaments in both dilute and concentrated polymer solutions is limited by the onset of purely elastic instabilities which result in necking or peeling of the elongating column. The mode of instability is demonstrated to be a sensitive function of the magnitude of the strain-hardening in the fluid sample. In entangled solutions of linear polymers the observed transition from necking instability to peeling instability observed at high strain rates (of order of the reciprocal of the Rouse time for the fluid) is directly connected to the cross-over from a reptative mechanism of tube orientation to one of chain extension.

• Structural Engineering and Mechanics
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• 제85권1호
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• pp.1-14
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• 2023

The use of functionally graded materials in applications involving severe thermal gradients is quickly gaining acceptance in the composite mechanics community, the aerospace and aircraft industry. In the present study, a refined sandwich plate model is applied to study the free vibration analysis of porous functionally graded material (FGM) sandwich plates with various distribution rate of porosity. Two types of common FG sandwich plates are considered. The first sandwich plate is composed of two FG material (FGM) face sheets and a homogeneous ceramic or metal core. The second one consists of two homogeneous fully metal and ceramic face sheets at the top and bottom, respectively, and a FGM core. The displacement field of the present theory is chosen based on nonlinear variations in the in-plane displacements through the thickness of the sandwich plate. The number of unknowns and equations of motion of the present theory is reduced and hence makes them simple to use. In the analysis, the equation of motion for simply supported sandwich plates is obtained using Hamilton's principle. In order to present the effect of the variation of the porosity distribution on the dynamic behavior of the FGM sandwich plates, new mixtures are proposed which take into account different rate of porosity distribution between the ceramic and the metal. The present method is applicable to study the dynamic behavior of FGM plates and sandwich plates. The frequencies of two kinds of FGM sandwich structures are analyzed and discussed. Several numerical results have been compared with the ones available in the literature.

• 대한토목학회논문집
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• 제30권5D호
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• pp.505-512
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• 2010

교통하중이 작용하는 기초지반의 성능 및 도로하부 지반에서의 변형예측을 위해서는 반복적인 교통하중하에서의 장기변형 예측이 필요하다. 그러나 도로와 철도와 같은 다층시스템에서의 장기변형을 예측하는 것은 쉽지 않은 일이다. 따라서 보다 정량적인 해석을 위해서는 적절한 해석방식, 재료모형, 그리고 재료의 상수들을 통한 역학-경험적인 방식이 필요하다. 따라서 본 연구에서는 반복 교통하중에 의한 응력의존적인 기초 지반재료의 장기변형 거동 파악을 위해 반복 하중의 응력수준과 함수비 조건이 고려된 반복재하 장기변형실험을 실시한 결과를 분석하고 해석에 활용하였다. 여러 응력상태조건에서 기초 지반재료의 장기변형 특성이 반영된 유한요소해석을 실시하였고 장기변형 예측모델의 실내시험규모에서의 적용성을 평가하였다.

• Steel and Composite Structures
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• 제50권5호
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• pp.563-581
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• 2024

This paper presents a novel finite element model for the free vibration analysis of variable-thickness functionally graded porous (FGP) microplates resting on Pasternak's medium in the hygro-thermal environment. The governing equations are established according to refined higher-order shear deformation plate theory (RPT) in construction with the modified couple stress theory. For the first time, three-node triangular elements with twelve degrees of freedom for each node are developed based on Hermitian interpolation functions to describe the in-plane displacements and transverse displacements of microplates. Two laws of variable thickness of FGP microplates, including the linear law and the nonlinear law in the x-direction are investigated. Effects of thermal and moisture changes on microplates are assumed to vary continuously from the bottom surface to the top surface and only cause tension loads in the plane, which does not change the material's mechanical properties. The numerical results of this work are compared with those of published data to verify the accuracy and reliability of the proposed method. In addition, the parameter study is conducted to explore the effects of geometrical and material properties such as the changing law of the thickness, length-scale parameter, and the parameters of the porosity, temperature, and humidity on the free vibration response of variable thickness FGP microplates. These results can be applied to design of microelectromechanical structures in practice.

• 한국농공학회지
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• 제39권4호
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• pp.106-113
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• 1997

Dynamic loading of structures often causes excursions of stresses well into the inelastic range, and the influence of the geometric changes on the dynamic response is also significant in many cases. Therefore, both material and geometric nonlinearity effects should be considered in case that a dynamic load acts on the structure. A structure in a nuclear power plant is a structure of importance which puts emphasis on safety. A nuclear container is a pressure vessel subject to internal pressure and this structure is constructed by a reinforced concrete or a pre-stressed concrete. In this study, the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a total Lagrangian coordinate system, and the equilibrium equation of motion is numerically solved by a central difference scheme. The constitutive relation of concrete is modeled according to a Drucker-Prager yield criterion in compression. The reinforcing bars are modeled by a smeared layer at the location of reinforcements, and the steel layer model under Von Mises yield criteria is adopted to represent an elastic-plastic behavior. To investigate the dynamic response of a nuclear reinforced concrete containment structure, the steel-ratios of 0, 3, 5 and 10 percent, are considered. The results obtained from the analysis of an example were summarized as follows 1. As the steel-ratio increases, the amplitude and the period of the vertical displacements in apex of dome decreased. The Dynamic Magnification Factor(DMF) was some larger than that of the structure without steel. However, the regular trend was not found in the values of DMF. 2. The dynamic response of the vertical displacement and the radial displacement in the dome-wall junction were shown that the period of displacement in initial step decreased with the steel-ratio increases. Especially, the effect of the steel on the dynamic response of radial displacement disapeared almost. The values of DMF were 1.94, 2.5, 2.62 and 2.66, and the values increased with the steel-ratio. 3. The characteristics of the dynamic response of radial displacement in the mid-wall were similar to that of dome-wall junction. The values of DMF were 1.91, 2.11, 2.13 and 2.18, and the values increased with the steel-ratio. 4. The amplitude and the period of the hoop-stresses in the dome, the dome-wall junction, and the mid-wall were shown the decreased trend with the steel-ratio. The values of DMF were some larger than those of the structure without steel. However, the regular trend was not found in the values of DMF.

• 한국산학기술학회논문지
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• 제21권11호
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• pp.843-850
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• 2020

본 연구의 목적은 국내 위험물 운송용 탱크화차의 충돌안전설계 가이드라인 제안을 위해 해외 충돌안전 기준에 따른 국내 위험물 운송화차에 대하여 비선형 충돌해석을 하여 위험성을 평가하고, 구조적 취약부를 분석하는데 있다. 유럽의 EN 12663-2에서 규정하는 화차의 완충시험 및 북미 49CFR179에서 규정하는 탱크 펑크시험기준을 분석하였으며, 상용 유한요소 해석 솔버인 LS-DYNA를 이용하여 각각 기준에 따른 비선형 유한요소모델을 모델링하였다. EN 규격의 완충시험 해석결과 충돌속도 6 km/h 이하에서는 소성변형이 발생하지 않을 것으로 예측하였지만, 8 km/h 이상의 충돌속도에서 중앙연결기를 통한 하중 전달으로 차체의 센터실 후방 및 탱크 중앙 지지부에서 소성변형을 확인하였다. 북미 법규의 탱크 펑크시험 해석결과 국내 탱크화차는 두부 충돌모드에서 충돌차량의 운동에너지를 4 % 이상 흡수시 두부의 코너부에서 탱크 외벽의 파괴가 발생하였으며, 측면 충돌모드에서 운동에너지 30 % 이상 흡수시에 충격체가 접촉하는 탱크 외벽의 파괴가 발생하여 내부 적재물의 누출을 예상하였다. 국내 유류 운송용 탱크화차의 해외 충돌안전 기준의 만족을 위해서는 차체 구조보강 설계 및 탱크 방호설계 수준을 향상시킬 필요가 있다.

• 한국산학기술학회논문지
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• 제20권7호
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• pp.430-439
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• 2019

본 연구는 친환경 에코필라 사방댐의 시공성과 경제성을 향상시키기 위해 제안된 중공트랙형 단면의 프리캐스트 에코필라 사방댐에 대하여 산사태 발생시 토석류에 동반되는 암석이 충돌할 경우 구조체의 안전성과 손상도를 평가하기 위해 비선형 충돌해석을 수행하였다. 최근에는 콘크리트를 이용한 에코필라 사방댐의 설치가 늘고 있으나, 콘크리트 투과형 사방댐 설계의 기준이 전무하여 경험적으로 설계되고 있을 뿐 아니라 산사태로 인한 피해가 지속적으로 늘고 있는 상황임에도 불구하고 극한환경을 적용한 성능평가나 연구를 찾아보기 어렵다. 따라서 본 연구에서는 선행연구를 통해 적정성과 성능에 대해 검증된 중공트랙형 단면의 에코필라 사방댐에 대하여 급경사지에서 발생한 우면산 산사태의 토석류 속도로 암석이 충돌할 경우로 가정하였다. 암석의 규모는 ETAG 27의 성능평가 기준을 참조하여 유사한 규모로 설정하였고, 최대 충격력이 작용할 수 있는 조건과 작용위치, 암석직경을 변수로 고려하였으며, 콘크리트 비선형 재료모델을 적용하였다. 재료 비선형해석이 가능한 ABAQUS 소프트웨어를 이용하여 해석적 방법으로 구조체의 강도와 손상도 평가를 수행하였다. 해석결과, 암석직경 0.3m와 0.5m가 충돌했을 경우는 구조체의 변위나 응력이 허용치 이내로 안전한 것으로 평가 되었으나, 0.7m 직경의 암석이 충돌할 경우 중공트랙형 기둥부가 에너지를 충분히 흡수하지 못하여 파괴되는 것으로 예측되었다. 또한, 콘크리트 손상도 평가결과 암석직경 0.3m와 0.5m에서는 손상비가 1.0이하로 나타났으나 0.7m 직경일 경우는 1.39로 평가되어 일정수준 이상에서는 사방댐 기능수행 적합성이 제고되어야 할 것으로 판단된다. 본 연구 결과는 사방댐 단면설계 시 고려해야 할 충격력에 대한 기초자료로 활용할 수 있으며, 향후 실험적 연구가 추가적으로 필요할 것으로 판단된다.