• 소성∙가공
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• 제8권5호
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• pp.498-506
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• 1999

The metal forming processes of aluminum alloy wheel forging at elevated temperature are analyzed by the finite element method. A coupled thermo-mechanical model for analysis of plastic deformation and geat transfer is adapted in the finite element formulation. In order to consider the strain-rate effects on material properties and the flow stress dependence on temperatures, rigid-viscoplasticity is introduced in this formation. In this paper, several process conditions were applied to the dimulation such as die speed, rib thickness, and depth of die cavity. Simulation results are compared, and discussed with each case. Metal flow, die pressure distributions, temperature distributions, velocity fields and forging loads are summarized as basic data for process design and selection of a proper press equipment.

• Journal of Pharmaceutical Investigation
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• 제37권3호
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• pp.137-148
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• 2007

Using a strain-controlled rheometer [Rheometrics Dynamic Analyzer (RDA II)], the steady shear flow properties of a semi-solid ointment base (vaseline) have been measured over a wide range of shear rates at temperature range of $25{\sim}60^{\circ}C$. In this article, the steady shear flow properties (shear stress, steady shear viscosity and yield stress) were reported from the experimentally obtained data and the effects of shear rate as well as temperature on these properties were discussed in detail. In addition, several inelastic-viscoplastic flow models including a yield stress parameter were employed to make a quantitative evaluation of the steady shear flow behavior, and then the applicability of these models was examined by calculating the various material parameters (yield stress, consistency index and flow behavior index). Main findings obtained from this study can be summarized as follows : (1) At temperature range lower than $40^{\circ}C$, vaseline is regarded as a viscoplastic material having a finite magnitude of yield stress and its flow behavior beyond a yield stress shows a shear-thinning (or pseudo-plastic) feature, indicating a decrease in steady shear viscosity as an increase in shear rate. At this temperature range, the flow curve of vaseline has two inflection points and the first inflection point occurring at relatively lower shear rate corresponds to a static yield stress. The static yield stress of vaseline is decreased with increasing temperature and takes place at a lower shear rate, due to a progressive breakdown of three dimensional network structure. (2) At temperature range higher than $45^{\circ}C$, vaseline becomes a viscous liquid with no yield stress and its flow character exhibits a Newtonian behavior, demonstrating a constant steady shear viscosity regardless of an increase in shear rate. With increasing temperature, vaseline begins to show a Newtonian behavior at a lower shear rate range, indicating that the microcrystalline structure is completely destroyed due to a synergic effect of high temperature and shear deformation. (3) Over a whole range of temperatures tested, the Herschel-Bulkley, Mizrahi-Berk, and Heinz-Casson models are all applicable and have an almostly equivalent ability to quantitatively describe the steady shear flow behavior of vaseline, whereas the Bingham, Casson,and Vocadlo models do not give a good ability.

• Journal of Advanced Marine Engineering and Technology
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• 제29권8호
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• pp.938-945
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• 2005

The microstructure evolution in hot forging process is composed of dynamic recrystallization during deformation as well as grain growth during dwell time. Therefore, the control of forging parameters such as strain, strain rate. temperature and holding time is important because the microstructure change in hot working affects the mechanical properties. Modeling equations are developed to represent the flow curve. grain size. recrystallized volume fraction and grain growth phenomena by various tests. The developed modeling equations were combined with thermo-viscoplastic finite element modeling to predict the microstructure change evolution during hot forging process. The large exhaust valve spindle (head diameter of 512mm) was simulated by closed die forging with hydraulic press and cooled in air after forging. The preform was heated to each 1080 and 1150$^{\circ}C$. Numerical calculation was performed by DEFORM-2D. a commercial finite element code. Heat transfer can be coupled with the deformation analysis in a non-isothermal deformation analysis. In order to obtain the fine and homogeneous microstructure and good mechanical properties in forging. the FEM would become a useful tool in the simulation of the microstructure development. In forging, appropriate temperature, strain and strain rate and rapid cooling are required to obtain the fine grain microstructure The optimal forging temperature and effective strain range of Nimonic 80A for large exhaust valve spindle are about 1080$\∼$l120$^{\circ}C$ and 150$\∼$200$\%$.

• 대한기계학회논문집A
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• 제34권10호
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• pp.1377-1384
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• 2010

본 논문에서는 솔더 재료 중에서 가장 많이 사용되어 온 Sn37Pb 솔더에 대한 변형거동을 가장 정확히 나타낼 수 있는 재료 모델을 결정하기 위한 방법을 연구하였다. 이를 위해 실제 전자패키지와 유사한 변형 거동을 보이는 시편을 제작하였고 상온에서 $125^{\circ}C$ 까지의 열 사이클 하에서 모아레 간섭계를이용하여 변형을 측정하는 실험을 수행하였다. Sn37Pb 솔더에 대해 세 가지 서로 다른 구성방정식을 적용하여 시편에 대한 유한요소해석을 수행하였다. 실험 결과 나타난 시편의 굽힘 변형과 해석 결과나타난 굽힘 변형을 비교하였고, 세 가지 재료모델의 계수를 미지수로 놓고 최적설계 기법을 적용하여 유한요소 해석과 실험 결과가 최대한 일치하는 계수 값을 결정하였다. 이를 통해 Anand 에 의해 제안된 구성방정식이 솔더의 거동을 가장 잘 표현한다고 결론을 낼 수 있었다.

• 마이크로전자및패키징학회지
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• 제19권2호
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• pp.17-28
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• 2012

WB-PBGA 패키지를 구성하는 솔더볼 재료나 수지 복합재의 열-기계적 물성치는 온도에 대단히 큰 영향을 받을 뿐 아니라, 온도가 유지되는 시간에도 큰 영향을 받는 것으로 알려져 있다. 본 논문에서는 무연 솔더 WB-PBGA 패키지의 변형 거동을 신뢰성 있게 해석하기 위하여 재료의 비선형성을 고려한 유한요소 해석을 수행하고 무아레 간섭계 실험결과와 비교하였다. 먼저 수지 복합재의 점탄성 거동을 파악하기 위해 수지 접합재와 패키지 기판으로 구성된 이종접합체를 대상으로 하여 수지 복합재의 온도와 시간에 종속적인 점탄성 거동에 대해 유한요소 해석을 수행하고 결과를 분석하였다. 무연 솔더가 실장된 WB-PBGA의 열-기계적 거동을 파악하기 위하여 솔더는 점소성 물성치를, 수지 복합재는 점탄성 물성치를 적용하여 온도 변화에 따르는 유한요소 변형해석을 수행하여 실험결과와 비교하였다. 결과적으로 패키지의 변형은 수지 복합재의 재료 모델에 따라 대단히 크게 달라지며, 수지 복합재는 온도와 시간에 영향을 받는 점탄성 물성으로 해석해야 함을 알 수 있었다. 본 논문에서와 같은 SAC 계열 무연 솔더 WB-PBGA 패키지의 경우 유리전이 온도가 $135^{\circ}C$ 정도로 비교적 높은 B-type 수지 복합재의 점탄성 물성치를 적용했을 때 상대적으로 신뢰성 있는 해석 결과를 얻을 수 있는 것으로 밝혀졌다.

• 대한토목학회논문집
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• 제29권4D호
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• pp.491-497
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• 2009

본 연구는 포장가속시험을 이용하여 다양한 온도와 하중재하방법에 따라 아스팔트 포장에 발생하는 소성변형의 특성을 분석하고, 주요 시험결과를 유한요소해석으로 예측하는 방법을 제시하고 있다. 가속시험용 포장단면은 한국도로공사 시험도로 대표 단면 중에 하나를 선정하여 동일하게 시공하고 3가지 온도조건(30, 40, $50^{\circ}C$)에서 반복이동하중에 의한 소성변형을 비교 분석하였다. 차량의 원더링 효과를 모사하기 위하여 가속시험기를 횡방향으로 좌우 35cm 범위 내에서 5cm 간격으로 이동하면서 시험을 수행하였다. 아울러 3가지 원더링 조건에 의한 소성변형의 차이도 수치해석을 통해서 검토하였다. 유한요소해석을 위하여 ABAQUS를 사용하였으며 가속시험 포장 단면을 plain strain 요소로 모델링하였다. 포장 층의 탄성계수는 FWD 시험에 의한 역산결과로 추정하였으며, 소성변형에 영향을 미치는 아스팔트 혼합물의 시간 의존성은 크리프 모델(creep model)로 고려하였다. 그리고 본 연구에서는 유한요소해석에 미치는 모델의 경계조건과 노상의 모델 포함 여부에 따른 영향을 두 가지 모델(전체모델과 부분모델)로 구분하여 검토하였다. 해석결과 두 가지 모델이 예측한 소성변형은 그 크기와 영향 범위에서 확연한 차이를 보였으며 계측결과와 비교하여 보면 노상이 모델에 포함하여야 할 것으로 판단되었다.

• 대한토목학회논문집
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• 제13권4호
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• pp.227-237
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• 1993

본 연구는 vertical drain well 설치지반의 보다 더 실제적이고 합리적인 변형해석을 목적으로 drain well 타설로 인하여 발생하는 well 주변 점토층의 교란(smear)영향, well과 인접점토층의 강성차이에서 오는 접합면 변형의 불연속거동 표현이 가능한 유한요소해석 방법을 제시하고자 하는데 목적이 있다. 유한요소해석의 구성은 변형의 지배방정식으로서 Biot의 압밀이론을 근간으로 여기에 흙의 구성식과 접합요소이론을 결합하여 이루어진다. 본 논문에서 제시한 해석법의 정도는 Siriwardane과 Ghaboussi 등이 사용한 지반에 적용하여 검증한 바 있다. 여기에서는 이를 다시 모델지반과 실제지반에 대해서 유한요소해석법을 적용하여 강성이 다른 이질재료간 경계에서의 불연속변형의 영향에 따른 지반내 거동특성을 살펴보고 이것을 함께 고려한 해석법의 정도를 알아보고자 한 것이다. 그 결과는 침하에 있어서 매우 만족스럽다고 보아지지만 간극수압등에는 잘 일치하지 않는 점이 있어 앞으로의 더 많은 연구가 필요하다고 판단된다.

• 소성∙가공
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• 제21권1호
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• pp.49-57
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• 2012

It is difficult to estimate the properties of multilayered sheet because they are composed of one or more different materials. Plastic deformation behavior of the multilayered sheet is quite different as compared to each material individually. The deformation behavior of multilayered sheet should be investigated in order to prevent forming defects and to predict the properties of the formed part. In this study, the mechanical properties and formability of stainless steel-aluminum-magnesium multilayered sheet were investigated. The multilayered sheet needs to be deformed at an elevated temperature because of its poor formability at room temperature. Uniaxial tensile tests were performed at various temperatures and strain rates. Fracture patterns changed mainly at a temperature of $200^{\circ}C$. Uniform and total elongation of multilayered sheet increased to values greater than those of each material when deformed at $250^{\circ}C$. The limiting drawing ratio (LDR) was obtained using a circular cup deep drawing test to measure the formability of the multilayered sheet. A maximum value for the LDR of about 2 was achieved at $250^{\circ}C$, which is the appropriate forming temperature for the Mg alloy. Fracture patterns on a circular cup and thickness of formed part were predicted by a rigid-viscoplastic FEM analysis. Two kinds of modeling techniques were used to simulate deep drawing process of multilayered sheet. A single-layer FE-model, which combines the three different layers into a macroscopic single layer, predicted well the thickness distribution of the drawn cup. In contrast, the location and the time of fracture were estimated better with a multi-layer FE model, which used different material properties for each of the three layers.

• Geomechanics and Engineering
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• 제25권3호
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• pp.195-205
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• 2021

Time effect on the deformation and strength characteristics of geogrid reinforced sand retaining wall has become an important issue in geotechnical and transportation engineering. Three physical model tests on geogrid reinforced sand retaining walls performed under various loading conditions were simulated to study their rate-dependent behaviors, using the presented nonlinear finite element method (FEM) analysis procedure. This FEM was based on the dynamic relaxation method and return mapping scheme, in which the combined effects of the rate-dependent behaviors of both the backfill soil and the geosynthetic reinforcement have been included. The rate-dependent behaviors of sands and geogrids should be attributed to the viscous property of materials, which can be described by the unified three-component elasto-viscoplastic constitutive model. By comparing the FEM simulations and the test results, it can be found that the present FEM was able to be successfully extended to the boundary value problems of geosynthetic reinforced soil retaining walls. The deformation and strength characteristics of the geogrid reinforced sand retaining walls can be well reproduced. Loading rate effect, the trends of jump in footing pressure upon the step-changes in the loading rate, occurred not only on sands and geogrids but also on geogrid reinforced sands retaining walls. The lateral earth pressure distributions against the back of retaining wall, the local tensile force in the geogrid arranged in the retaining wall and the local stresses beneath the footing under various loading conditions can also be predicted well in the FEM simulations.

• 소성∙가공
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• 제22권3호
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• pp.143-149
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• 2013

A new finite element model for the hydrostatic extrusion of a biaxial bar is introduced. In this model, a penalty contact algorithm, which is adopted to replace the traction boundary conditions due to the fluid in the container of the extruder, is incorporated into a consistent penalty finite element formulation for the viscoplastic deformation of a work piece during hydrostatic extrusion. Two parameters, introduced in the penalty contact algorithm in this study, a critical penalty contact pressure $P_0$ and a critical penalty contact distance $D_c$, are carefully examined for various process conditions. The proposed finite element model is applied to the hydrostatic extrusion of a Cu-clad Al bar. The extrusion loads and thickness ratios of the clad materials by the proposed model are compared in detail to values from experiments reported in the literature. Finally, it is concluded that the proposed finite element model is useful in practical implementations.