• 제목/요약/키워드: Loading solution

검색결과 873건 처리시간 0.027초

Some aspects of load-rate sensitivity in visco-elastic microplane material model

  • Kozar, Ivica;Ozbolt, Josko
    • Computers and Concrete
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    • 제7권4호
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    • pp.317-329
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    • 2010
  • The paper describes localization of deformation in a bar under tensile loading. The material of the bar is considered as non-linear viscous elastic and the bar consists of two symmetric halves. It is assumed that the model represents behavior of the quasi-brittle viscous material under uniaxial tension with different loading rates. Besides that, the bar could represent uniaxial stress-strain law on a single plane of a microplane material model. Non-linear material property is taken from the microplane material model and it is coupled with the viscous damper producing non-linear Maxwell material model. Mathematically, the problem is described with a system of two partial differential equations with a non-linear algebraic constraint. In order to obtain solution, the system of differential algebraic equations is transformed into a system of three partial differential equations. System is subjected to loadings of different rate and it is shown that localization occurs only for high loading rates. Mathematically, in such a case two solutions are possible: one without the localization (unstable) and one with the localization (stable one). Furthermore, mass is added to the bar and in that case the problem is described with a system of four differential equations. It is demonstrated that for high enough loading rates, it is the added mass that dominates the response, in contrast to the viscous and elastic material parameters that dominated in the case without mass. This is demonstrated by several numerical examples.

일정변형률 압밀시험을 이용한 방사내측배수 압밀해석 (Constant Rate of Strain Consolidation Test for Radially inward drainage)

  • 윤찬영;양봉근;정충기
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2004년도 춘계학술발표회
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    • pp.173-180
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    • 2004
  • In this study, a consolidometer for radially inward drainage under constant rate of strain (CRS) loading was developed. Theoretical solutions for determining the effective vertical stress and the coefficient of consolidation from the test result were also proposed. Reconstituted kaolinite samples which were consolidated up to 130 kPa were used to verify the developed consolidometer and the theory. Comparative experiments with CRS loading and incremental loading (IL) were carried out in radially in ward drainage as well as vertical and radially outward drainage. The results obtained from the developed CRS loading test agreed consistently with those of the conventional incremental loading test according to drainage directions. And the effect of drainage direction and drain diameter to consolidation characteristics was also evaluated. From the test results the applicability and the reliability of the suggested method were verified.

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Parametric resonance of composite skew plate under non-uniform in-plane loading

  • Kumar, Rajesh;Kumar, Abhinav;Panda, Sarat Kumar
    • Structural Engineering and Mechanics
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    • 제55권2호
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    • pp.435-459
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    • 2015
  • Parametric resonance of shear deformable composite skew plates subjected to non-uniform (parabolic) and linearly varying periodic edge loading is studied for different boundary conditions. The skew plate structural model is based on higher order shear deformation theory (HSDT), which accurately predicts the numerical results for thick skew plate. The total energy functional is derived for the skew plates from total potential energy and kinetic energy of the plate. The strain energy which is the part of total potential energy contains membrane energy, bending energy, additional bending energy due to additional change in curvature and shear energy due to shear deformation, respectively. The total energy functional is solved using Rayleigh-Ritz method in conjunction with boundary characteristics orthonormal polynomials (BCOPs) functions. The orthonormal polynomials are generated for unit square domain using Gram-Schmidt orthogonalization process. Bolotin method is followed to obtain the boundaries of parametric resonance region with higher order approximation. These boundaries are traced by the periodic solution of Mathieu-Hill equations with period T and 2T. Effect of various parameters like skew angle, span-to-thickness ratio, aspect ratio, boundary conditions, static load factor on parametric resonance of skew plate have been investigated. The investigation also includes influence of different types of linearly varying loading and parabolically varying bi-axial loading.

Modeling of time-varying stress in concrete under axial loading and sulfate attack

  • Yin, Guang-Ji;Zuo, Xiao-Bao;Tang, Yu-Juan;Ayinde, Olawale;Ding, Dong-Nan
    • Computers and Concrete
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    • 제19권2호
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    • pp.143-152
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    • 2017
  • This paper has numerically investigated the changes of loading-induced stress in concrete with the corrosion time in the sulfate-containing environment. Firstly, based on Fick's law and reaction kinetics, a diffusion-reaction equation of sulfate ion in concrete is proposed, and it is numerically solved to obtain the spatial and temporal distribution of sulfate ion concentration in concrete by the finite difference method. Secondly, by fitting the existed experimental data of concrete in sodium sulfate solutions, the chemical damage of concrete associated with sulfate ion concentration and corrosion time is quantitatively presented. Thirdly, depending on the plastic-damage mechanics, while considering the influence of sulfate attack on concrete properties, a simplified chemo-mechanical damage model, with stress-based plasticity and strain-driven damage, for concrete under axial loading and sulfate attack is determined by introducing the chemical damage degree. Finally, an axially compressed concrete prism immersed into the sodium sulfate solution is regarded as an object to investigate the time-varying stress in concrete subjected to the couplings of axial loading and sulfate attack.

수정N-R법과 연속음형법을 이용한 임계부하점 및 Nose Curve 산정기법 연구 (A Study on the Calculation Scheme of Extreme Loading Point and Nose Curves using Modified N-R and Continuation Method)

  • Yu, In-Keun
    • 대한전기학회논문지
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    • 제41권7호
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    • pp.712-722
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    • 1992
  • Several voltage instability/collapse problems that have occurred in the electric utility industry worldwide have gained the attention of engineers and researchers of electric power systems. This paper proposes an effective calculation scheme of the extreme loading point and nose curves(P-V curves) using modified Newton-Raphson(N-R) load flow method and the Continuation Method. This method provides detail and visual information of the power system voltage profile and operating margin ro operators and planners. In this paper, a modified load flow claculation method for ill-conditioned power systems is introduced for the purpose of seeking more precise load flow solutions and nose curves, and the Continuation Method is also used as a part of the solution algorithm for the calculation of extreme loading point and nose curves. The conventional polar coordinate based N-R load flow program is modified to avoid numerical difficulties caused by the singularity of the Jacobian matrix occuring in the vicinity of extreme loading point of heavily loaded systems. Application results of the proposed method to Klos-Kerner 11-bus system and modified IEE-30-bus system are presented to assure the usefulness of the approach.

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촉매 담지 조건의 변화에 따른 초소형 추력기의 성능평가 (Performance Evaluation of a Micro Thruster with variation of catalyst loading condition)

  • 이정섭;안성용;권세진
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2008년도 제31회 추계학술대회논문집
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    • pp.109-112
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    • 2008
  • 초소형 추력기의 최적화를 위한 연구로 촉매 담지 조건을 변화시키면서 성능 평가를 실시하였다. 촉매의 담지 조건 중 촉매 전구체를 용해시키는 전해물질의 산성도를 변화시켰다. 또한 각각의 경우에 대해 건조 조건을 달리하면서 이에 따른 성능 평가를 실시하였다. 이를 통해 촉매 담지 조건이 추력기 성능에 미치는 영향을 알아보았다. 추진제로는 90wt% 과산화수소를 사용하였으며, 높은 분해성능을 보이는 백금을 촉매로 사용하였다. 초소형 추력기의 목표 추력은 0.1N이며 성능 평가를 위해서 특성속도 효율과 온도 효율을 사용하기로 하였다.

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생쥐 1-세포기 수정란의 동결방법에 있어서 초자화동결과 완만동결의 비교 (Comparison of Vitrification and Slow Freezing-thawing Method on 1-cell Zygotes)

  • 이지향;한혁동;구혜영
    • Clinical and Experimental Reproductive Medicine
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    • 제28권3호
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    • pp.191-198
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    • 2001
  • Objective : This study was conducted to examine the effect of vitrification on the survival and in vitro development of mice 1-cell zygotes. Method: Effects of exposure to vitrification solution and vitrification, with different concentrations of the cryoprotectant solution, were examined. The 1-cell zygotes were also subjected to a slow freezing-thawing method to compare with vitrification method. Solution composed of ethylene glycol (6.0 M, 5.0 M, 4.0 M) and sucrose (1.0 M) were used as cryopropectant. The experiments employed the method loading the embryos on electron microscope grids. Results: I. The effects of exposure in vitrification solution. 1-cell zygotes were non-toxic at all concentrations of the vitrification solution showing the survival rate between 88.1% and 97.5%. Development into 2-cell was more successful in the higher concentrations of the vitrification solution. Therefore, higher concentrations of the vitirification solution do not seem to cause any problems in vitrification procedure. II. The effects of vitrification method. 1-cell zygotes showed the survival rate between 78.8% and 92.4%. The lowest and the highest survival rate was observed in the 6.0 M and 4.0 M vitrification solution, respectively. 2-cell development rates varied from 77.6% to 91.3%. Blastocyst development rate was shown highest in 5.0 M and the lowest in 4.0 M solution. Therefore, the highest 2-cell and blastocyst development rate was observed in 5.0 M solution. III. Comparison of vitrification and slow freezing-thawing method on 1-cell zygotes. This experiment showed that 1-cell zygotes had the highest survival and development rates in 5.0 M vitrification solution. Vitrified group of 1-cell zygotes, in the 5.0 M vitrification solution, were compared with the group processed in slow freezing-thawing method. The development rate into 2-cell and blastocyst as well as the survival rate were higher in the vitrified group than in the slowly freezed group. Conclusion: 1. The results demonstrate that the best cryoprotectant is a 5.0 M vitrification solution for 1-cell zygotes. 2. Vitrification method significantly increases the survival rate of the 1-cell zygote and its development into 2-cell and blastocyst. Equilibration and exposure time during the vitrification was remarkerbly short in this experiment. Total time, from the exposure to vitirification solution to storage in the liquid nitrogen, was taken only 90 seconds. In contrast, the slow freezing-thawing method have taken more than four hours. Taken together, we presume that the overall time used for the procedure contributes to the results as an important parameter. 3. The loading of 1-cell zygotes on the EM grid is technically more simple and takes less time than the straw or cryo vial method.

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염료감응태양전지를 위한 $TiO_2$ 분말 기공도와 염료 흡착량의 관계 (Relationship between the porosity of the nanostructured $TiO_2$ electrode and Dye Loading for Dye-sensitized Solar Cells)

  • 황성진;정현상;전재승;김형순
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2010년도 춘계학술대회 초록집
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    • pp.68.2-68.2
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    • 2010
  • Dye-sensitized solar cells (DSSC) show great promise as an inexpensive alternative to conventional p-n junction solar cells. Investigations into the various factors influencing the photovoltaic efficiency have recently been intensified. The conventional absorber electrode in DSSC is composed of compacted or sintered $TiO_2$ nanopowder that carries an anchored organic dye. The absorbance of incident light in the DSC is realized by specifically engineered dye molecules placed on the semiconductor electrode surface ($TiO_2$). The dye absorbs light at wavelengths up to about 920nm, the energy of the exited state of the molecule should be about 1.35eV above the electronic ground state corresponding to the ideal band gap of a single band gap solar cell. The dye molecules ar adhered onto the nanostrutured $TiO_2$ electrode by immersing the sintered electrode into a dye solution, typically 3mM in alcohol, for a long enough period to fully impregnate the electrode. However, the concentrations of the dye is slightly changed due to the evaporation of the alcohol. The dye is more expensive than other materials in DSSC and related to the efficiency of DSSC. Therefore, the concentrations of the dye should be carefully measured. In this study, we investigated to the dye loading on fired $TiO_2$ powder as a function of temperature by the TG-DTA and the dye solution by UV-visible spectroscopy after the impregnation process. The dye loading is related to the porosity of the nanostructured $TiO_2$ electrode.

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열처리 방법으로 탄소나노튜브에 백금 나노입자의 담지 (Platinum nanoparticles loading on carbon nanotube by impregnation and direct heating method)

  • 이창호;김희연;유승곤
    • 대한공업교육학회지
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    • 제32권2호
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    • pp.188-198
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    • 2007
  • 이 연구의 목적은 열처리 방법으로 탄소나노튜브에 백금나노 입자를 담지하는 것이다. 이 목적을 달성하기 위해서 염화백금산 수용액으로부터 hexachloro platinate(IV)를 탄소나노튜브에 흡착시킨 후 환원제를 사용하지 않고 질소분위기에서 $400^{\circ}C$로 열처리 하여 백금 나노입자를 담지 시켰다. 탄소나노튜브에 흡착된 hexachloro platinate(IV)의 함량은 UV-visible spectrophotometer를 사용하여 정량하였고, 탄소나노튜브에 담지된 백금 나노입자 존재와 분산을 확인하기 위해서 열중량분석, X-ray 회절분석, 투과전자현미경 관찰을 수행하였다. hexachloro platinate(IV)를 흡착시킨 탄소나노튜브를 환원제를 사용하지 않고 질소분위기에서 $400^{\circ}C$에서 열처리하면 2 nm 이하의 백금 나노입자가 균일하게 분포되었다. 한편, $800^{\circ}C$에서 열처리한 경우에는 백금입자들이 상호 응집현상이 발생하여 백금 입자의 크기가 커지고 분산이 균일하지 못했다. 따라서 hexachloro platinate(IV)를 탄소나노튜브에 흡착시킨 후 질소분위기에서 $400^{\circ}C$의 간단한 열처리를 통해서 백금 나노입자를 담지시킬 수 있었다.

Bar와 Beam 구조물의 기본적인 유한요소 모델의 수치해석 (Numerical Evaluation of Fundamental Finite Element Models in Bar and Beam Structures)

  • 류용희;주부석;정우영
    • 복합신소재구조학회 논문집
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    • 제4권1호
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    • pp.1-8
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    • 2013
  • The finite element analysis (FEA) is a numerical technique to find solutions of field problems. A field problem is approximated by differential equations or integral expressions. In a finite element, the field quantity is allowed to have a simple spatial variation in terms of linear or polynomial functions. This paper represents a review and an accuracy-study of the finite element method comparing the FEA results with the exact solution. The exact solutions were calculated by solid mechanics and FEA using matrix stiffness method. For this study, simple bar and cantilever models were considered to evaluate four types of basic elements - constant strain triangle (CST), linear strain triangle (LST), bi-linear-rectangle(Q4),and quadratic-rectangle(Q8). The bar model was subjected to uniaxial loading whereas in case of the cantilever model moment loading was used. In the uniaxial loading case, all basic element results of the displacement and stress in x-direction agreed well with the exact solutions. In the moment loading case, the displacement in y-direction using LST and Q8 elements were acceptable compared to the exact solution, but CST and Q4 elements had to be improved by the mesh refinement.