• 한국해양공학회지
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• 제12권2호통권28호
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• pp.57-64
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• 1998

This study is concerned with criterion for membrane to shell conversion in two-dimensional elastic-plastic finite element analysis using membrane/shell mixed element. It is well known that in the sheet metal forming some parts of the sheet deform under almost pure stretching (membrane) conditions, whereas other parts in contact with sharp tooling surfaces can develop significant bending strains. The membrane analysis has a short computational time however, in the membrane analysis the bending effects can not be condidered at all. On the other hand, the shell analysis allows the consideration of bending effects, but involves too much computational time. So Onatel),2), Yang et al3),4) developed the membrane/shell mixed element. Onate introduced the energy ratio parameter and Yang et al introduced the ratio of thickness to radius of curvature as the criterion. In the present study we propose a new criterion by using the angle between both side elements in the nodal point.

• Structural Engineering and Mechanics
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• 제44권1호
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• pp.15-34
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• 2012

In the present paper, an improved high-order theory is used for bending analysis of soft-core sandwich plates. Third-order plate assumptions are used for face sheets and quadratic and cubic functions are assumed for transverse and in-plane displacements of the orthotropic soft core. Continuity conditions for transverse shear stresses at the interfaces as well as the conditions of zero transverse shear stresses on the upper and lower surfaces of the plate are satisfied. Also, transverse flexibility and transverse normal strain and stress of the orthotropic core are considered. The equations of motion and boundary conditions are derived by principle of minimum potential energy. Analytical solution for bending analysis of simply supported sandwich plates under various transverse loads are presented using Navier's solution. Comparison of the present results with those of the three-dimensional theory of elasticity and some plate theories in the literature confirms the accuracy of the proposed theory.

• Advances in nano research
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• 제13권4호
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• pp.393-406
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• 2022

In the present article, functionally graded small-scaled plates based on modified strain gradient theory (MSGT) are studied for analyzing the nonlinear bending and post-buckling responses. Von-Karman's assumptions are applied to incorporate geometric nonlinearity and the first-order shear deformation theory is used to model the plates. Modified strain gradient theory includes three length scale parameters and is reduced to the modified couple stress theory (MCST) and the classical theory (CT) if two or all three length scale parameters become zero, respectively. The Ritz method with Legendre polynomials are used to approximate the unknown displacement fields. The solution is found by the minimization of the total potential energy and the well-known Newton-Raphson technique is used to solve the nonlinear system of equations. In addition, numerical results for the functionally graded small-scaled plates are obtained and the effects of different boundary conditions, material gradient index, thickness to length scale parameter and length to thickness ratio of the plates on nonlinear bending and post-buckling responses are investigated and discussed.

• Steel and Composite Structures
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• 제51권6호
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• pp.601-617
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• 2024

This work aims to explore the static behaviour of a tapered functionally graded porous plate (FGPP) with even and uneven porosity distributions resting on two parametric elastic foundations. The plate under investigation is subjected to bi-sinusoidal loading and the edges of the plate are exposed to different combinations of edge restrictions. In order to examin the static behaviour, bending factors (BF) related to bending and normal stresses have been evaluated using classical plate theory. To achieve this, the governing equations have been derived employing the energy concept. And to solve it, the Rayleigh-Ritz method with an algebraic function has been utilised; it is simple, precise, and computationally intensive. After convergence and validation analyses, new findings are made available. The BF of the plate have been exhaustively examined to explain the influence of aspect ratios, material property index, porosity factor, taper factor, and Winkler and Pasternak stiffness. It is observed that the BF of an elastically supported FGPP are influenced by the index of material propery and the aspect ratio. Findings also indicate that the impact of porosity is more when it is spread evenly, as opposed to when it is unevenly distributed. Further, the deformed plate's structure is significantly influenced by the different thickness variations. Examination of bending characteristics of FGPP having different new cases of thickness variations with different types of porosity distribution under fifteen different mixed edge constraints is the prime novality of this work. Results presented are reliable enough to be taken into account for future studies.

• Nuclear Engineering and Technology
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• 제5권2호
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• pp.150-158
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• 1973

국산 목재와 수입라왕의 물리적 성질과 방사선 내성을 측정하여 W.P.C 제조 예비 실험을 한 결과 다음과 같은 결과를 얻었다. 1) 목재의 경도는 비중과 휨강도 (bending strength)에 비례했다. 2) 연륜 접선 방향의 경도는 목심으로부터의 거리에 비례했다. 3) 100Mrad 감마선 조사로는 목재의 비중에 큰 변화가 생기지 않았다. 4) 방사선 조사시 연질목재의 경도가 경질 목재의 그것보다 더욱 현저히 감소했다. 그러나 10Mrad까지는 경도 감소가 심하지 알음으로 보아 W,P,C제조에 있어 10Mrad이하의 조사에는 목재가 충분한 내성을 가짐을 알 수 있다.

• Journal of Mechanical Science and Technology
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• 제20권3호
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• pp.335-344
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• 2006

A comprehensive review of through thickness transverse residual stress distributions in a range of as-welded and mechanically bent components made up of a range of steels has been carried out, and simplified generic transverse residual stress profiles for a plate and pipe components have been proposed. The geometries consisted of welded pipe butt joints, T-plate joints, tubular T-joints, tubular Y-joints and a pipe on plate joints as well as cold bent tubes and pipes. The collected data covered a range of engineering steels including ferritic, austenitic, C-Mn and Cr-Mo steels. Measured residual stress data, normalised with respect to the parent material yield stress, has shown a good linear correlation versus the normalised depth of the region containing the residual stress resulting from the welding or cold-bending process. The proposed simplified generic residual stress profiles based on the mean statistical linear fit of all the data provides a reasonably conservative prediction of the stress intensity factors. Whereas the profiles for the assessment procedures are fixed and case specific, the simple bilinear profiles for the residual stresses obtained by shifting the mean and bending stress from the mean regression line have been proposed and validated.

• 한국재료학회지
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• 제16권1호
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• pp.1-4
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• 2006

Biodegradable $\beta$-tricalcium phosphate ( $\beta$-TCP)/poly(lactide-co-glycolide) (PLGA) composites were synthesized by in-situ polymerization with microwave energy. The influence of the $\beta$-TCP content in $\beta$-TCP/PLGA composites on the molecular weight, crystallinity, microstructure and mechanical properties was investigated. As the molecular weight of composites decreased, the $\beta$-TCP content increased up to 10 wt.%, while the excess addition of the $\beta$-TCP content above 10 wt.% the molecular weight increased with increasing of the $\beta$-TCP content. This behavior would be due to the superheating effect or nonthermal effect induced by microwave energy. It was found that the bending strength and Young's modulus of the $\beta$-TCP/PLGA composites was proportional to the molecular weight of PLGA. The bending strength of the $\beta$-TCP/PLGA composites ranged from 18 to 38 MPa, while Young's modulus was in the range from 2 to 6 GPa.

• Elastomers and Composites
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• 제49권2호
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• pp.160-166
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• 2014

자동차 선도장용으로 알루미늄 페이스트를 사용하여 6가지 베이스코트용 포뮬레이션이 설계되었다. 알루미늄 페이스트는 pancake 형태의 금속 안료인 #501, #801, #601와 cornflake 형태의 금속 안료인 #750, #770, #790가 사용되었다. 베이스코트의 상대적인 경화 밀도는 #501, #801, #601, #750, #770, #790 순으로 증가하였다. T-bending, 내충격성, 테이핑 부착력은 경화 밀도의 증가에 따라 향상되었다. Cornflake 형태의 안료에 대한 외관(combined factor) 테스트에서 입자가 가장 작은 #790이 다른 두 가지(#750, #770)와 비교하였을 때 가장 좋은 combined factor를 보여 주었다.

• 대한기계학회논문집B
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• 제34권6호
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• pp.635-642
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• 2010

마이크로채널 열교환기에서 채널 굽힘 각도에 따른 R-134a의 증발열전달 특성에 관하여 실험적 연구를 수행하였다. 본 연구에서는 채널의 굽힘 각도가 $120^{\circ}$, $150^{\circ}$ 및 $180^{\circ}$인 마이크로채널 열교환기에서 R-134a의 증발온도와 Reynolds수 변화에 따른 열전달 특성을 대향류 조건에서 실험하였으며, 실험결과 마이크로채널 열교환기에서 증발열전달량과 증발열전달계수는 R-134a의 레이놀즈수 증가에 따라 증가하였다. 또한 채널의 굽힘각도가 $120^{\circ}$ 및 $150^{\circ}$인 마이크로채널 열교환기는 증발온도 $4.9{\sim}14.9^{\circ}C$ 에서 채널굽힘 각도가 $180^{\circ}$인 마이크로채널 열교환기와 비교하여 평균 약 17.1% 및 13.3%로 증발열전달량이 증가하였으며, R-134a의 증발열전달계수는 채널의 굽힘 각도가 작을수록 증발열전달계수가 증가하는 것으로 나타났다.

• 마이크로전자및패키징학회지
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• 제18권4호
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• pp.11-18
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• 2011

3차원 칩 적층 접합에 사용하기 위한 Cu-Cu 금속 저온 접합 공정을 위하여 접합 온도 및 플라즈마 표면 전처리에 따른 열 압착 접합을 수행 하였다. 4점굽힘시험과 CCD 카메라를 이용하여 Cu 접합부의 정량적인 계면접착에너지를 평가하였다. 접합 온도 $250^{\circ}C$, $300^{\circ}C$, $350^{\circ}C$에서 각각 $1.38{\pm}1.06$(상한값), $7.91{\pm}0.27$(하한값), $10.36{\pm}1.01$(하한값) $J/m^2$으로 접합온도 $300^{\circ}C$ 이상에서 계면접착에너지 5 $J/m^2$ 이상의 값을 얻었다. 접합 온도 $300^{\circ}C$ 이하 낮은 온도에서 접합하기 위해 Cu-Cu 열 압착 접합 전 Ar+$H_2$ 플라즈마로 $200^{\circ}C$에서 2분간 표면 전처리 후 $250^{\circ}C$ 조건에서 열 압착 접합할 경우 계면접착에너지 값이 $6.59${\pm}0.03$(하한값) $J/m^2$로 표면 전 처리하지 않은 시험편에 비해 접합 특성이 크게 증가 하였다.