• Steel and Composite Structures
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• 제31권1호
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• pp.43-51
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• 2019

This paper is concerned with the numerical calculation of mixed-mode stress intensity factors (SIFs) of 2-D isotropic functionally graded materials (FGMs) by the natural element method (more exactly, Petrov-Galerkin NEM). The spatial variation of elastic modulus in non-homogeneous FGMs is reflected into the modified interaction integral ${\tilde{M}}^{(1,2)}$. The local NEM grid near the crack tip is refined, and the directly approximated strain and stress fields by PG-NEM are enhanced and smoothened by the patch recovery technique. Two numerical examples with the exponentially varying elastic modulus are taken to illustrate the proposed method. The mixed-mode SIFs are parametrically computed with respect to the exponent index in the elastic modulus and external loading and the crack angle and compared with the other reported results. It has been justified from the numerical results that the present method successfully and accurately calculates the mixed-mode stress intensity factors of 2-D non-homogeneous functionally graded materials.

• 대한치과보철학회지
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• 제44권1호
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• pp.10-19
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• 2006

Statement of problem : The various kinds of properties of post and core may affect the stress distribution to the root of endodontically treated teeth Purpose: To evaluate the influence of various kinds of properties of post and core to the stress distribution to the root of endodontically treated teeth. Material and methods: Mandibular first premolar, prepared by general shape of post and core with gold crown, was used to two dimensional axisymmetric modeling for finite element analysis. Then property values of 8 different kinds of post and core was substituted for each. Finally, stress distribution shown areas around the root of post and core was analysed after applying 50N of vortical and oblique load. Results: 1. Stress value of oblique load was much higher than the maximum stress value of vertical load. 2. Under oblique load, very concentrated stress was located on post periapical area and variations in stress were very severe. Contrary to this, stress distribution was relatively uniform in vertical load. 3. Post materials with higher elastic modulus showed relatively more apically focused stress, and post materials with lower elastic modulus showed stress focused on cervical area on the axial wall of post. 4. Stress change according to the properties of core was shown only in the cervical area of post and below core as the higher elastic modulus, then increased in stress. 5. Post and core with medium value of elastic modulus showed relatively uniform stress distribution. Conclusions: Post materials with higher elastic modulus showed relatively more apically focused stress, and post materials with lower elastic modulus showed stress focused on cervical area on the axial wall of post. Stress change according to the properties of core was shown only in the cervical area of post and below core.

• Tribology and Lubricants
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• 제28권4호
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• pp.173-177
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• 2012

We used contact resonance force microscopy (CRFM) technique to determine the quantitative elastic properties of multiple materials integrated on the sub micrometer scale. The CRFM approach measures the frequencies of an AFM cantilever's first two flexural resonances while in contact with a material. The plain strain modulus of an unknown or test material can be obtained by comparing the resonant spectrum of the test material to that of a reference material. In this study we examined the following bumping materials for flip chip by using copper electrode as a reference material: NiP, Solder (Sn-Au-Cu alloy) and under filled epoxy. Data were analyzed by conventional beam dynamics and contact dynamics. The results showed a good agreement (~15% difference) with corresponding values determined by nanoindentaion. These results provide insight into the use of CRFM methods to attain reliable and accurate measurements of elastic properties of materials on the nanoscale.

• 한국세라믹학회지
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• 제41권1호
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• pp.19-23
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• 2004

The Hertzian indentation contact damage behavior of porous alumina with controlled pore shape was investigated by experiments. Porous alumina ceramics containing well-defined pore shape, size and distribution were prepared by incorporation of fugitive spherical starch. Porous alumina with isolated pore structure was prepared with porosity range up to 30%. The indentation stress-strain curves of porous alumina were constructed. Elastic modulus and yield stress can be obtained from the stress-strain relationship. Impulse excitation method for the measurement of elastic modulus was also conducted as well as Hertzian indentation and was confirmed as a useful tool to evaluate the elasticity of highly porous ceramics. Elastic modulus of the inter-connected pore structure is more sensitive to porosity than that of the isolated pore structure. When the specimen had isolated pore structure, higher yield point was obtained than it had inter-connected pore structure. This study proposed that the elastic modiulus of porous ceramics is strongly related to not only porosity, but also the structure of pore.

• 지질공학
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• 제16권3호
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• pp.227-233
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• 2006

암반은 일반적으로 생성환경 및 지질학적 조건에 따라 균질하지 못하며, 특히 기질과 역의 성분차이가 심한 역암 또는 각력암이나 핵석 등은 복합물질로 구성된 암반에 해당된다. 이들 복합 지반물질의 역학적 특성은 역과 기질의 역학특성과 분포특성 등에 따라 달라진다. 사면과 터널 및 지하구조물의 설계를 위한 이들의 역학성 평가는 매우 중요하지만 일반적으로 행해지는 암반분류법에 의한 이들의 평가는 부적절하다. 따라서 본 연구에서는 복합지반물질의 역학성 평가를 위해 균질화법을 적용하였다. 역의 함유량, 크기, 기질의 고결도, 분급, 경사 등의 인자를 고려한 조합에 의해 총 49개의 해석모델을 작성하여 탄성해석을 실시하였다. 해석결과는 역암이나 핵석같은 복합지반물질의 역학성 계산에 적용될 수 있다.

• 한국가스학회:학술대회논문집
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• 한국가스학회 1997년도 추계학술발표회 논문집
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• pp.78-85
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• 1997

Indentation and small punch tests are very powerful methods to monitor the materials reliability since they are very simple, easy and almost non-destructive. First, recently-developed continuous indentation test can provide the more material properties such as hardness, elastic modulus, yield strength, work-hardening exponent, etc., than the conventional hardness test. In our study, the true stress-strain curve was derived from the indentation load-depth curve for spherical indentation. In detail, the strain was able to be obtained from plastic depth/contact radius ratio, and the flow stress was from mean contact pressure through the analysis of elastic-plastic indentation stress field. Secondly, the small punch test was studied to evaluate the fracture toughness and defomation properties such as elastic modulus and yield strength. Like the indentation test, this test can be applied without severe damage of the target structure.

• 마이크로전자및패키징학회지
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• 제26권2호
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• pp.31-43
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• 2019

본 연구에서는 유연한 접속부를 갖는 유연전자 패키지 플립칩 접속을 위해 폴리머 탄성범프를 제작하였으며, 범프의 온도 및 하중에 따른 폴리머 탄성 범프의 점탄성 및 점소성 거동을 해석 및 실험적으로 분석하고 비교 평가하였다. 폴리머 탄성 범프는 하중에 의한 변형이 용이하여 범프 높이 평탄도 오차의 보정이 용이할 뿐만 아니라 소자가 형성된 칩에 가해지는 응력 집중이 감소하는 것을 확인하였다. 폴리머 탄성 범프의 과도한 변형에 따른 Au Metal Cap Crack 현상을 보완하여 $200{\mu}m$ 직경의 Spiral Cap Type, Spoke Cap type 폴리머 탄성 범프 형성 기술을 개발하였다. 제안된 Spoke Cap, Spiral Cap 폴리머 탄성 범프는 폴리머 범프 전체를 금속 배선이 덮고 있는 Metal Cap 범프에 비해 범프 변형에 의한 응력 발생이 적음을 확인할 수 있으며 이는 폴리머 범프 위의 금속 배선이 부분적으로 패터닝되어 있어 쉽게 변형될 수 있는 구조이므로 응력이 완화되는데 기인하는 것으로 판단된다. Spoke cap type 범프는 패드 접촉부와 전기적 접속을 하는 금속 배선 면적이 Spiral Cap type 범프에 비해 넓어 접촉 저항을 유지하면서 동시에 금속 배선에 응력 집중이 가장 낮은 결과를 확인하였다.

• 한국산업융합학회 논문집
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• 제17권1호
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• pp.7-14
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• 2014

In this study, characteristic of elastic paving materials in bicycle road using polyurethane were studied experimentally. As a results, following their good result was obtained. Bicycle road packaging materials are flexural strength g test, ratio of mass change after freezing and thawing, repulsion elasticity test, water Permeation coefficient test and slip resistance test results showed good performance.

• Computers and Concrete
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• 제25권4호
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• pp.311-325
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• 2020

In this research work, the hygrothermal and mechanical buckling responses of simply supported FG sandwich plate seated on Winkler-Pasternak elastic foundation are investigated using a novel shear deformation theory. The current model take into consideration the shear deformation effects and ensures the zero shear stresses on the free surfaces of the FG-sandwich plate without requiring the correction factors "Ks". The material properties of the faces sheets of the FG-sandwich plate are assumed varies as power law function "P-FGM" and the core is isotropic (purely ceramic). From the virtual work principle, the stability equations are deduced and resolved via Navier model. The hygrothermal effects are considered varies as a nonlinear, linear and uniform distribution across the thickness of the FG-sandwich plate. To check and confirm the accuracy of the current model, a several comparison has been made with other models found in the literature. The effects the temperature, moisture concentration, parameters of elastic foundation, side-to-thickness ratio, aspect ratio and the inhomogeneity parameter on the critical buckling of FG sandwich plates are also investigated.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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• pp.125-129
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• 2005

A micromechanical model for predicting the elastic constants of stitched multi-axial warp knitted (MWK) composite is developed. The averaging method is used to obtain effective properties of stitched MWK fabric composites. In the analysis, a representative volume of the MWK fabric composite is identified. The geometric limitations, effects of stitching yarns and design parameters of MWK fabric composites are considered in the model. Then, the elastic properties of stitched MWK fabric composites are predicted. Finally, the predicted elastic constants are validated by comparison with experimental data. The predicted results are in fair agreement with the experimental results.