• 한국태양에너지학회 논문집
• /
• 제36권3호
• /
• pp.9-16
• /
• 2016

This paper discusses a refined model for investigating the micro-mechanical behavior of beam-like structures, which are composed of various elastic moduli and complex geometries varying through the cross-section directions and are also periodically-repeated and heterogeneous along the axial direction. Following the previous work (Lee and Yu, 2011), the original three-dimensional static problem is first formulated in a unified and compact form using the concept of decomposition of the rotation tensor. Taking advantage of the smallness of the cross-sectional dimension-to-length parameter and the micro-to-macro heterogeneity, while also performing homogenization along the dimensional reduction simultaneously, the variational asymptotic method is rigorously used to construct a total energy function, which is asymptotically correct up to the second order. Furthermore, through the transformation procedure based on the pure kinematic relations and the linearized equilibrium equations, a generalized Timoshenko model is systematically established. For the purpose of dealing with realistic and complex geometries and constituent materials at the microscopic level, this present approach is incorporated into a commercial analysis package. A few examples available in literature are used to demonstrate the consistency and efficiency of this proposed model, especially for the structures, in which the effects of transverse shear deformations are significant.

• 한국전산구조공학회논문집
• /
• 제24권4호
• /
• pp.413-419
• /
• 2011

나노 크기의 허니콤 구조물은 거시적 크기의 허니콤 구조물에 비해 보다 높은 부피 대비 표면적 비율을 구현하여 전기적, 화학적인 촉매로써 기능성을 극대화할 수 있다. 나노 크기의 구조물은 거시적 크기의 구조물과 다른 기계적 거동양상을 보이며 이는 표면효과에 기인한다. 이러한 표면효과는 원자 수준 전산모사(atomistic simulation)를 통해 규명할 수 있으나 나노 허니콤 구조물의 거동을 예측하는 것은 현실적으로 과도한 전산자원 및 계산시간으로 인해 불가능한 실정이다. 본 연구에서는 표면응력 탄성모델을 적용한 브리징방법을 균질화기법과 연계하여 나노 크기의 허니콤 구조물의 기계적 거동을 효율적으로 예측하였다.

• Structural Engineering and Mechanics
• /
• 제33권4호
• /
• pp.429-446
• /
• 2009

Three-scale homogenization procedure is proposed in this paper to provide estimates of the effective thermal conductivities of porous carbon-carbon textile composites. On each scale - the level of fiber tow (micro-scale), the level of yarns (meso-scale) and the level of laminate (macro-scale) - a two step homogenization procedure based on the Mori-Tanaka averaging scheme is adopted. This involves evaluation of the effective properties first in the absence of pores. In the next step, an ellipsoidal pore is introduced into a new, generally orthotropic, matrix to make provision for the presence of crimp voids and transverse and delamination cracks resulting from the thermal transformation of a polymeric precursor into the carbon matrix. Other sources of imperfections also attributed to the manufacturing processes, including non-uniform texture of the reinforcements, are taken into consideration through the histograms of inclination angles measured along the fiber tow path together with a particular shape of the equivalent ellipsoidal inclusion proposed already in Sko ek (1998). The analysis shows that a reasonable agreement of the numerical predictions with experimental measurements can be achieved.

• 소성∙가공
• /
• 제23권3호
• /
• pp.171-177
• /
• 2014

The current collector for the molten carbonate fuel cell (MCFC) which has sheared protrusions is manufactured by the three-stage forming process that integrates slitting, preforming and final forming. Due to the repetition of sheared protrusions, an effective simulation method is required to predict the mechanical behavior. In the current study, a sheet with sheared protrusions was assumed to be an orthotropic plate, which has the same length, width and height. FEM simulations were conducted to evaluate the homogenized properties of the current collector, which has 4 (longitudinal direction) x 4 (transverse direction) sheared protrusions. The simulation model was constructed using hexahedral mesh coarsening. From the verification examples, it was found that the proposed simulation method was efficient within reasonable accuracy. The calculated homogenized properties can be applied to the design of a stack for molten carbonate fuel cells and the prediction of mechanical behavior for other applications.

• Nuclear Engineering and Technology
• /
• 제53권5호
• /
• pp.1403-1415
• /
• 2021

The transient capability of a SP₃ based pin-wise core analysis code SPHINCS is developed and verified through the analyses of the C5G7-TD benchmark. Spatial discretization is done by the fine mesh finite difference method (FDM) within the framework of the coarse mesh finite difference (CMFD) formulation. Pin size fine meshes are used in the radial fine mesh kernels. The time derivatives of the odd moments in the time-dependent SP₃ equations are neglected. The pin homogenized group constants and Super Homogenization (SPH) factors generated from the 2D single assembly calculations at the unrodded and rodded conditions are used in the transient calculations via proper interpolation involving the approximate flux weighting method for the cases that involve control rod movement. The simplifications and approximations introduced in SPHINCS are assessed and verified by solving all the problems of C5G7-TD and then by comparing with the results of the direct whole core calculation code nTRACER. It is demonstrated that SPHINCS yields accurate solutions in the transient behaviors of core power and reactivity.

• Steel and Composite Structures
• /
• 제46권1호
• /
• pp.33-51
• /
• 2023

This research presents a multi-material topology optimization for functionally graded material (FGM) and nonFGM with elastic buckling criteria. The elastic buckling based multi-material topology optimization of functionally graded steels (FGSs) uses a Jacobi scheme and a Method of Moving Asymptotes (MMA) as an expansion to revise the design variables shown first. Moreover, mathematical expressions for modified interpolation materials in the buckling framework are also described in detail. A Solid Isotropic Material with Penalization (SIMP) as well as a modified penalizing material model is utilized. Based on this investigation on the buckling constraint with homogenization material properties, this method for determining optimal shape is presented under buckling constraint parameters with non-homogenization material properties. For optimal problems, minimizing structural compliance like as an objective function is related to a given material volume and a buckling load factor. In this study, conflicts between structural stiffness and stability which cause an unfavorable effect on the performance of existing optimization procedures are reduced. A few structural design features illustrate the effectiveness and adjustability of an approach and provide some ideas for further expansions.

• 지질공학
• /
• 제14권1호
• /
• pp.47-60
• /
• 2004

이 연구에서는 간극변화에 따른 단열 기하양상을 충분히 고려한 투수계수를 구하고자 균질화 해석법을 이용하여 투수계수를 산정 하였다. 공초점 레이저 스캔 현미경을 이용하여 압력 단계별 간극을 측정한 결과 한개 시료 내에서 각 측정지점별 간극 크기는 모두 다르게 나타나며 단열 면 양쪽이 서로 평행하지 않고 불 평탄한 양상임을 잘 나타낸다. 각 시료별로 압력 단계별 간극양상을 이용하여 단열모델을 각각 작성하고 균질화 해석법을 통해 간극 양상에 따른 투수성 변화를 살펴본 결과, 각 시료별로 산정한 투수계수는 $10^{-1}~10^{-3}cm/sec$의 범위에 분포한다. 시료들은 대체로 압력이 증가함에 따라 일반적으로 투수계수가 감소하는 양상을 나타낸다. 그러나, 시료별로 압력에 따른 투수계수 감소비율이 일정하지 않고 다양한 변화양상을 보인다. 이와 같은 양상은 Chae et al.(2003)의 관찰결과와 잘 일치하며, 이는 간극의 변화가 투수성에 미치는 영향이 크다는 것을 입증한다. 동일 시료 내에서도 3등분한 지점별로 각기 다른 투수계수 값이 계산되었다. 이는 투수계수가 간극의 크기와 분포형태에 따라 민감하게 변화함을 지시하는 것이다. 따라서, 간극 분포가 일정하지 않은 암석 내 단열에서의 투수특성 해석 시에는 정확한 단열 기하양상을 반영하는 것이 매우 중요하다. 따라서, 단열 내 투수계수 산정을 위해서는 단열 기하양상을 충분히 고려할 필요가 있다.

• 자원환경지질
• /
• 제2권4호
• /
• pp.1-21
• /
• 1969

The Sin po fluorite deposit is of a fissure vein type which strikes $N75^{\circ}E$, dips $80^{\circ}SE$, and is embedded in the pre-Cambrian crystalline schist. The vein is 1 meter in average in thickness, about 800 meters in length and nearly 400 meters in depth. Narrow veins of crustified fluorites and agatic quartz are discontinuously embedded in the quartz gangue. Two-phase fluid inclusions, which are available for the homogenization method by using the Heating Stage Microscope 350, are found in the fluorite crystals. Most of the fluid inclusions are primary in origin and mainly composed of liquid phase associated with minor gas phase. They are tetrahedral, rounded-tubular, wedge shaped, rectangulartrapezoid, and irregular in shape. The maximum diameter of inclusions is 0.5mm and the minimum, 0.03mm, ranging from 0.2mm to 0.08mm in an average. The homogenization temperatures obtained from the test are $135-147^{\circ}C$, $125-138^{\circ}C$, $121-137^{\circ}C$, $116-133^{\circ}C$ and $106-128^{\circ}C$ in greenish, bluish, violet, light grayish blue, colorless and pinkish fluorites respectively. The range of formation temperatures of fluorites is $106-147^{\circ}C$. Therefore, the fluorite deposit of Sinpo Mine is considered to be of low temperature hydrothermal origin. The isothermal lines were drawn on the longitudinal section of the vein from the data of homogenization test. According to the results, the central and lower parts of the ore shoot in the west ore body show the higher temperatures of $130-138^{\circ}C$ and the peripheral and upper parts of it show the lower temperatures of $108-128^{\circ}C$. It seems that the isothermal trend roughly coinside with the pitch of the ore shoot.

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

• 한국물환경학회지
• /
• 제30권5호
• /
• pp.512-516
• /
• 2014

Two different methods for TOC (Total Organic Carbon) analysis of livestock manure including high strength solid organics were evaluated. Firstly, an analyzing method by dilution after pre-treated by Ultrasonicator and 100 mesh sieve for homogenization was defined as TOC 1; and secondly method divided by particulate organic carbon (POC) and dissolved organic carbon (DOC) was defined as TOC 2. 116 samples collected from 56 farms were analyzed in TOC1, TOC2, BOD and VSS. TOC1 method showed higher accuracy at less than 30,000 mg/L of TOC while TOC2 method presented significant reliability at over that concentration. Regarding to the sample with the same VSS concentration, the correlation between TOC 2 and VSS (${\rho}$: 0.806) was slightly higher than that between TOC 1 and VSS (${\rho}$: 0.784), resulted from a relatively low loss of solids and a low error probability (dilution and homogenization effects) in the analyzing procedures. In addition, the reliability between POC and VSS in TOC2 was high and the POC was about 4.4 fold that of the VSS. Consequently, TOC 2 without dilution effect was assessed as a proper method to increase the analyzing accuracy of swine manure including high solid organics.