• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2002년도 추계학술발표대회 논문집
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• pp.179-182
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• 2002

Rapid Prototyping (RP) technologies provide the ability to fabricate initial prototypes from various model materials. Stratasys' Fused Deposition Modeling (FDM) is a typical RP process that can fabricate prototypes out of plastic materials, and the parts made from FDM were often used as load-carrying elements. Because FDM deposits materials in about $300\mutextrm{m}$ thin filament with designated orientation, parts made from FDM show anisotropic material properties. This paper proposes an analytic model to predict the tensile strength of FDM parts. Applying the Classical Lamination Theory, which was developed for laminated composite materials, a computer code was implemented. Tsai-Wu failure criterion was added to the code to predict the failure of the FDM parts. The tensile strengths predicted by the analytic model were compared with experimental data. The data and prediction agreed reasonably well to prove the validity of the model. In addition, a web-based advisory service was developed to provide to strength prediction and design rules for FDM parts.

• 마이크로전자및패키징학회지
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• 제17권4호
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• pp.41-48
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• 2010

본 연구에서는 일액형 이방 도전성 페이스트(anisotropic conductive paste, ACP) 혼합 조성의 상온 보관성을 향상시키기 위해 2-methyl imidazole 경화 촉매제를 5종의 각기 다른 물질로써 encapsulation하였다. Encapsulation용 분말 물질들은 DSC를 통해 그 융점을 관찰하였으며, 이를 통해 encapsulation용 분말 물질들을 액상으로 용융시켜 encapsulation하는 공정이 가능함을 확인할 수 있었다. Encapsulation된 2-methyl imidazole 분말을 포함한 ACP 혼합물질의 상온 보관성을 평가하기 위하여 시간에 따른 점도 변화가 관찰되었다. 그 결과, stearic acid와 carnauba wax로 encapsulation된 2-methyl imidazole 분말을 포함한 혼합물질에서 향상된 상온 보관성을 관찰할 수 있었으며, 이러한 formulation은 기본 혼합물질과도 유사한 경화 거동을 보임을 확인할 수 있었다. 최종적으로 stearic acid와 carnauba wax로 encapsulation된 2-methyl imidazole 분말을 포함한 혼합물질을 사용하여 RFID 칩을 제조된 안테나 패턴이 형성된 PET 기판에 고속 플립칩 본딩을 실시하였다. 이 경우 측정된 접합 강도는 기본 혼합물질에 비해 약 37%의 수준인 것으로 측정되었다.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2003년도 춘계학술대회 논문집
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• pp.422-425
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• 2003

Investigated whether fiber orientation distribution of twisted yarn composites and the fiber content are 0$^{\circ}$ and 90$^{\circ}$ direction tensile strength and some correlation. Tensile strength of 0$^{\circ}$ directions of twisted yarn composites increased changelessly being proportional the fiber content and fiber orientation function get into anisotropic in isotropic. But, tensile strength ratio by separation of fiber filament of 90$^{\circ}$ directions tensile strength decreased when tensile load is imposed for width direction of reinforcement fiber. 0$^{\circ}$ and 90$^{\circ}$ direction tensile strength ratio value of a twisted yarn composites not receive almost effect of the fiber content of fiber orientation function J = 0.4 lows. Although do, 20 wt% of the fiber content is high about 0$^{\circ}$ and 90$^{\circ}$ direction tensile strength ratio about 1.6~2 than 10 wt% from J = 0.4. Therefore. could know that effect of the fiber content is dominate.

• 한국전산구조공학회논문집
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• 제13권2호
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• pp.197-208
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• 2000

최 등/sup 1)/은 total lagrangian formulation에 근거한 증분 평형방정식을 적용하고, 강도행렬 산정시 회전각의 2차항을 포함시켜 기하학적 비선형 해석시 해의 수렴성을 향상시켰다. 또한 등매개 쉘 유한요소의 단점인 전단구속 현상과 제로 에너지 모드가 발생하는 문제를 극복하기 위하여 가정 변형률장을 적용하여 보강된 판 및 쉘 구조의 비선형 해석법을 개발하였다. 본 연구에서는 잔류응력을 고려한 쉘구조의 극한강도 해석을 수행하기 위하여, 대변형거동과 함께 소성붕괴거동을 추적할 수 있는 알고리즘을 제시한다. 잔류응력을 고려한 증분평형방정식에 return mapping algorithm을 이용한 탄소성 해석법을 결합시켜서 보강된 판 및 쉘구조의 극한거동을 파악한다. 수치해석 예제를 통하여 본 연구에서 제시된 유한요소 및 비선형 해석 알고리즘에 대한 효율성 및 적용성을 확인하였다.

• Geomechanics and Engineering
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• 제7권4호
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• pp.403-430
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• 2014

Shale gas formations exhibit strong mechanical and strength anisotropies. Thus, it is necessary to study the effect of anisotropy on the hydraulic fracture initiation pressure. The calculation model for the in-situ stress of the bedding formation is improved according to the effective stress theory. An analytical model of the stresses around wellbore in shale gas reservoirs, in consideration of stratum dip direction, dip angle, and in-situ stress azimuth, has been built. Besides, this work established a calculation model for the stress around the perforation holes. In combination with the tensile failure criterion, a prediction model for the hydraulic fracture initiation pressure in the shale gas reservoirs is put forward. The error between the prediction result and the measured value for the shale gas reservoir in the southern Sichuan Province is only 3.5%. Specifically, effects of factors including elasticity modulus, Poisson's ratio, in-situ stress ratio, tensile strength, perforation angle (the angle between perforation direction and the maximum principal stress) of anisotropic formations on hydraulic fracture initiation pressure have been investigated. The perforation angle has the largest effect on the fracture initiation pressure, followed by the in-situ stress ratio, ratio of tensile strength to pore pressure, and the anisotropy ratio of elasticity moduli as the last. The effect of the anisotropy ratio of the Poisson's ratio on the fracture initiation pressure can be ignored. This study provides a reference for the hydraulic fracturing design in shale gas wells.

• Interaction and multiscale mechanics
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• 제1권2호
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• pp.231-250
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• 2008

The statistical two-order and two-scale method is developed for predicting the mechanics parameters, such as stiffness and strength of core-shell particle-filled polymer composites. The representation and simulation on meso-configuration of random particle-filled polymers are stated. And the major statistical two-order and two-scale analysis formulation is briefly given. The two-order and two-scale expressions for the strains and stresses of conventionally strength experimental components, including the tensional or compressive column, the twist bar and the bending beam, are developed by means of their classical solutions with orthogonal-anisotropic coefficients. Then a new effective mesh generation algorithm is presented. The mechanics parameters of core-shell particle-filled polymer composites, including the expected stiffness parameters, minimum stiffness parameters, and the expected elasticity limit strength and the minimum elasticity limit strength, are defined by means of the stiffness coefficients and elasticity strength criterions for core, shell and matrix. Finally, the numerical results for predicting both stiffness and elasticity limit strength parameters are compared with the experimental data.

• 터널과지하공간
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• 제23권5호
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• pp.383-391
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• 2013

1960년대 후반 이래로 수행된 여러 진삼축압축시험 결과에 의하면 암석의 파괴강도는 중간주응력의 크기에 상당한 영향을 받는 것으로 나타나고 있다. 이러한 실험적 결과를 바탕으로 지금까지 중간주응력이 파괴에 미치는 영향을 고려할 수 있는 다양한 3차원 파괴조건식들이 제안되고 있다. 그러나 문헌에 보고된 대부분의 3차원 파괴기준식들은 암석의 진삼축압축 강도를 현상학적으로 재현하기 위한 목적으로 개발되었기 때문에 관련된 강도정수들의 역학적 의미가 명확하지 않다. 이 연구에서는 암석강도의 중간주응력 의존성이 암석 내에 포함된 연약면들의 공간적 분포특성과 관련성이 있다는 가능성을 확인하기 위해 평면이방성 암석모델을 대상으로 수치 진삼축압축시험을 수행하였다. 미소구조텐서 개념을 활용하여 이방성 Mohr-Coulomb 파괴기준식을 개발하였으며 이를 강도기준식으로 활용하고 임계면법을 적용하여 평면이방성 암석의 파괴강도 및 파괴면 방향의 중간주응력 의존성을 분석하였다. 분석결과는 암석에 포함된 미시적 연약면들의 주응력 방향에 대한 방향성이 암석강도의 중간주응력 의존성과 밀접한 관련성이 있음을 암시해준다.

• Journal of Astronomy and Space Sciences
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• 제37권2호
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• pp.131-142
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• 2020

As the laws of physics are expressed in a manner that makes their invariance under coordinate transformations manifest, they should be written in terms of tensors. Furthermore, tensors make manifest the characteristics and behaviors of electromagnetic fields through inhomogeneous, anisotropic, and compressible media. Electromagnetic fields are expressed completely in tensor form, F^αβ, which implies both electric field ${\overrightarrow{E}}$ and magnetic field ${\overrightarrow{B}}$ rather than separately in the vector fields. This study presents the Mathematica platform that generates and transforms a second-rank antisymmetric field-strength tensor F^αβ and whiskbroom pattern in Minkowski space. The platforms enhance the capabilities of students and researchers in tensor analysis and improves comprehension of the elegant features of complete structure in physics.

• 한국농공학회지
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• 제41권2호
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• pp.70-79
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• 1999

The lower ground of structure, in which the strip loads, such as earth dams and embankments , are signiificantly working on , is required to be interpreted as a state of plane strain where the strain of intermediated principal stress direction is put '0' . The plane strain state is frquently observed in actural soil engineering case. For those case, drained stress-strain and strength behavior of Iksan weathered granite soil prepared in cubical specimens with cross-anisotropic fabric was studied by conventional triaxial compression, plane strain and cubial triaxial tests with independent control of the three principal stress. All specimens were loaded under conditions of principl stress directions fixed and aligned with the directions of the material axes. As a result of research , when a ground condition is analyzed under plane strain state, the shear strength obtained from the conventional triaxial compression test can be understimated.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2009년도 춘계학술대회 논문집
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• pp.374-377
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• 2009

Glass fiber reinforced nylon has been used in many plastic industries. Mechanical properties of reinforced plastics depend upon types of glass fiber as well as loading of glass fiber. Tensile properties of glass fiber reinforced nylon66 have been studied for different glass fiber types and sizes. Types of glass fibers were circular and flat, and diameters were 7, 10, and 13 micrometers. Orientations of glass fibers in the matrix of nylon66 have been analyzed through X-ray CT. Tensile specimens were prepared by cutting out of square plates of $100{\times}100{\times}3mm$ with different angles such as 0, 45, and $90^{\circ}$ to the flow direction. As the loading of glass fiber increases to 45 wt% tensile strength increases up 2.5 times compare with neat nylon66. Anisotropic tensile strength has been observed and minimum tensile strength was measured in the specimen cut from perpendicular to the flow direction.