• 한국농공학회지
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• 제38권3호
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• pp.82-91
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• 1996

This is a basic study for the static and dynamic analysis on the elasto-plastic and elasto-viscoplastic of an axi-symmetric shell. The objective of this study was to investigate the mechanical characteristics of a nuclear reinforced concrete containment structure, which was selected as a model, by a numerical analysis using a finite element method. The structure was modeled with discrete ring elements of 8-noded isoparametric element rotating against the symmetrical axis, and the interaction between the foundation and the structure was modeled by Winkler's model. Also, the meridional tendon was modeled with 2-node truss elements, and the hoop tendon was done with point elements in two degrees of freedom. The effect of the tendon was considered without the increasement in total degree of freedom as the stiffness matrix of modeled tendon elements was assembled on the stiffness matrix of ring elements linked with the tendon. The results obtained from the analysis of an example were summarized as follows : 1. The stresses in the hoop direction on the interior and exterior surfaces of the structure were shown in changes of similar trend, and high stresses appeared on the structure wall 2. The stresses in the meridional direction on the interior and exterior surfaces were shown in change of different trend. Especially, the stresses at the junctions between the dome and the wall and between the wall and the bottom plate of the structure were very high, compared with those at other parts of the structure. 3. The stress changes in the direction of thickness on the crown of the dome were much linearly distributed. However, as the amount of tendon increased, the stresses in the upper and lower parts of the wall established with the tendon were shown stress concentration. 4. The stress changes in the direction of thickness on the center of the structure wall was linearly distributed in the all cases, and special stress due to the use of the tendon was not shown.

• 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$\∼$200$\%$.

• 한국농공학회지
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• 제38권5호
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• pp.74-84
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• 1996

Dynamic loading of structures often causes excursions of stresses well into the inelastic range and the influence of geometric changes on the dynamic response is also significant in many cases. Therefore, both material and geometric nonlinearity effects should be considered in case that a dynamic load acts on the structure. For developing a program to analyze the dynamic response of an axisymmetric shell in this study, the material nonlinearity effect on the dynamic response was formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a total Lagrangian coordinate system, and the equilibrium equation of motion was numerically solved by a central difference scheme. A complete finite element program has been developed and the results obtained by it are compared with those in the references 1 and 2. The results are in good agreement with each other. As a case study of its application, the developed program was applied to a dynamic response analysis of a nuclear reinforced concrete containment structure. The results obtained from the' numerical examples are summarized as follows : 1. The dynamic magnification factor of the displacement and the stress were unrelated with the concrete strength. 2. As shown by the results that the displacement dynamic magnification factor were form 1.7 to 2.3 and the stress dynamic magnification factor from 1.8 to 2.5, the dynamic magnification factor of stress were larger than that of displacement. 3. The dynamic magnification factor of stress on the exterior surface was larger than that on the interior surface of the structure.

• 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.

• 한국농공학회지
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• 제42권5호
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• pp.151-159
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• 2000

Dynamic loading of structures often causes excursions of stresses will into the inelastic range and the influence of geometry changes on the response is also significant in may cases. In general , the shell structures designed according to quasi-Static analysis may collapse under condition of dynamic loading. Therefore, for a more realistic prediction on the lad carrying capacity of these shell. both material and geometric nonlinear effects should be considered. In this study , the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a Total Lagrangian formulation. the reinforcing bars are modeled by the equivalent steel layer at the location of reinforcements, and Von Mises yield criteria is adopted for the steel layer behavior. Also, Drucker-Prager yield criteria is applied for the behavior of concrete. the shape imperfection of dome is assumed as 'dimple type' which can be expressed Wd1=Wd0(1-(r-a)m)n while the shape imperfection of wall is assumed as sinusoidal curve which is Wwi =Wwo sin(n $\pi$y/l). In numerical test, three cases of shape imperfection of 0.0 -5.0cm(opposite direction to loading ; inner shape imperfection)and 5cm (direction to loading : outward shape imperfection) and thickness of steel layer determined by steel ratio of 0,3, and 5% were analyzed. The effect of shape imperfection and steel ratio and behavior characteristics of perfect shape shell and imperfect shape shell are identified through analysis of above mentioned numerical test. Dynamic behaviors of dome and wall according toe combination of shape imperfection and steel ratio are also discussed in this paper.

• 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.

• 콘크리트학회논문집
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• 제26권6호
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• pp.671-677
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• 2014

본 연구는 SP제 및 물시멘트비 영향에 따른 변화를 고려한 초유동 콘크리트의 유동 실험 및 해석 시뮬레이션 기법에 관해 소개한 것이다. 국내에서 생산되는 시멘트, 골재 및 SP 혼화제를 대상으로 하여 배합조건에 따른 유동 콘크리트의 레올로지 특성 및 유동현상 실험을 수행하였으며, 이로부터 물시멘트비와 SP제의 영향을 고려한 유동 콘크리트의 레올로지 정수 추정에 관한 예측모델을 제시하였다. 제시된 두 배합조건에 의한 영향을 유동 콘크리트의 전단응력과 변형률속도 관계 정식화에 적용하여 본 해석 모델을 제시하였다. SP제 및 물시멘트비의 변화를 고려한 초유동 콘크리트의 L형 박스 흐름 실험을 수행하여 해석 시뮬레이션 모델과 비교하여 개발 모델에 대해 평가토록 하였다.

• 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.

• 대한토목학회논문집
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• 제13권3호
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• pp.25-34
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• 1993

지하구조물은 일반적으로 영역의 무한성, 다양한 하중, 복합적인 구성재료 등으로 인하여 그 거동의 해석이 난이하다. 특히, 장기거동이 중요시되는 연약지반의 굴착문제 등에 있어서는 시간에 의존하는 점탄소성거동을 해석에 고려하여야만 한다. 본 연구에서는 점탄소성거동을 해석하는 방법으로서, 내부요소를 사용하지 않은 경계요소 해석방법을 유도하고, 정계요소와 유한요소를 조합하여 해석하는 방법을 도출하였다. 점탄소성을 고려한 지배적분방정식에서 점소성응력에 대한 영역적분은 극좌표를 이용한 직접적분방법을 적용하여 경계적분화하였고, 이에 따른 계방정식을 이용하여 프로그램화하였다. 또한 경제요소 프로그램을 점소성 유한요소 프로그램과 조합하여 굴착면 주위에 발생하는 시간의존 비탄성거동을 합리적으로 해석하도록 하였다. 경계요소해석 및 조합해석 결과는 정해 및 유한요소해석의 결과와 비교하여 검토하였다. 비교결과 내부요소를 사용하지 않은 경계요소법으로는 국부적인 응력집중으로 인한 비선형성이 충분히 고려되지 못함을 알 수 있었다. 반면에 유한요소-경계요소 조합방법으로는 상대적으로 많은 자유도를 가진 타 방법에 비교하여 합리적인 결과를 얻음을 알 수 있었다. 따라서 시간에 의존되는 비탄성체의 해석에 있어서 조합방법을 사용하면 하중조건과 경계조건에 따르는 구조물의 거동을 합리적으로 예측할 수 있으며, 유한요소와 경계요소의 장점을 살려 보다 효용적인 해석의 수행이 가능할 것으로 판단된다.