• Title/Summary/Keyword: finite differences method

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Differences on Tension, Compression JC Constitutive Equation Parameter of Strain Rate Effect for Ti-6Al-4V (Ti-6Al-4V 변형률 속도 변화에 따른 인장, 압축형 JC 구성방정식 변수의 변화)

  • Woo, Sang-Hyun;Lee, Chang-Soo;Park, Lee-Ju
    • Korean Journal of Materials Research
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    • v.27 no.1
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    • pp.19-24
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    • 2017
  • This paper is concerned with a test method that can be used to investigate the parameters of the Johnson-Cook constitutive model. These parameters are essential for accurately analyzing material behavior under impact loading conditions in numerical simulation. Ti-6Al-4V alloy (HCP crytal structure) was used as a specimen for the experiments. In the $10^{-3}-10^3/s$ strain rate range, three types of experimental methods (convention, compression and tension) were employed to compare the differences using MTS-810, SHPB and SHTB. Finite element analysis results when applying these parameters were displayed along with the experiment results.

An Evaluation of the Hamrock and Dowson's EHL Film Thickness Formulas (Hamrock과 Dowson의 EHL 유막두께식에 대한 평가)

  • 박태조
    • Tribology and Lubricants
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    • v.12 no.3
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    • pp.115-122
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    • 1996
  • In this paper, a finite difference method and the Newton-Raphson method are used to evaluate the Hamrock and Dowson's EHL film thickness formulas in elliptical contact problems. The minimum and central film thicknesses are compared with the Hamrock and Dowson's numerical results for various dimensionless parameters and with their film thickness formulas. The results of present analysis are more accurate and physically reasonable. The minimum film thickness formula is similar with the Hamrock and Dowson's results, however, the central film thickness formula shows large differences. Therefore, the Hamrock and Dowson's central film thickness formula should be replaced by following equation. $H_{c} = 4.88U^{0.68}G^{0.44}W^{0.096}(1-0.58e^{-0.60k})$ More accurate film thickness formula for general elliptical contact problems can be expected using present numerical methods and further research should be required.

Optimum shape and process design of single rotor equipment for its mixing performance using finite volume method

  • Kim, Nak-Soo;Lee, Jae-Yeol
    • Korea-Australia Rheology Journal
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    • v.21 no.4
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    • pp.289-297
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    • 2009
  • We numerically analyzed flow characteristics of the polymer melt in the screw equipment using a proper modeling and investigated design parameters which have influence on the mixing performance as the capability of the screw equipment. We considered the non-Newtonian and non-isothermal flow in a single rotor equipment to investigate the mixing performance with respect to screw dimensions as shape parameter of the single rotor equipment and screw speed as process parameter. We used Bird-Carreau-Yasuda model as a viscous model of the polymer melt and the particle tracking method to investigate the mixing performance in the screw equipment and considered four mixing performance indexes: residence time distribution, deformation rate, total strain and particle standard deviation as a new mixing performance index. We compared these indexes to determine design parameters and object function. On basis of the analysis results, we carried out the optimal design by using the response surface method and design of experiments. In conclusion, the differences of results between the optimal value and numerical analysis are about 5.0%.

Vibration Analysis of a Rotor considering Nonlinear Reaction of Hydrodynamic Bearing

  • Lee, Soo-Mok;Lim, Do-Hyeong;Bae, Jong-Gug;Yang, Bo-Suk
    • International Journal of Fluid Machinery and Systems
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    • v.2 no.3
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    • pp.254-259
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    • 2009
  • In this paper it was attempted to treat the hydrodynamic journal bearing as a time-based nonlinear reaction source in each step of rotor rotation in order to observe the bearing effect more realistically and accurately in stead of the conventional method of simple linearized stiffness and damping. Lubrication analysis based on finite element method is employed to calculate the hydrodynamic reaction of bearing and Newmark's method was used to calculate the rotor dynamics in the time domain. Simulation for an industrial electrical motor showed remarkable results with differences compared to those by the conventional method in the dynamic behavior of the rotor.

A NEW SOLUTION METHOD FOR STATE EQUATIONS OF NONLINEAR SYSTEM

  • Zhang, Cheng-Hui;Tan, Cheng-Hui;Cui, Na-Xin
    • Journal of applied mathematics & informatics
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    • v.6 no.1
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    • pp.175-184
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    • 1999
  • Along with the computation and analysis for nonlinear system being more and more involved in the fields such as automation control electronic technique and electrical power system the nonlin-ear theory has become quite a attractive field for academic research. In this paper we derives the solutions for state equation of nonlinear system by using the inverse operator expression of the so-lutions is obtained. An actual computation example is given giving a comparison between IOM and Runge-kutta method. It has been proved by our investigation that IOM has some distinct advantages over usual approximation methods in that it is computationally con-venient rapidly convergent provides accurate solutions not requiring perturbation linearization or the massive computation inherent in discrietization methods such as finite differences. So the IOM pro-vides an effective method for the solution of nonlinear system is of potential application valuable in nonlinear computation.

Numerical Analysis of Nonequilibrium Chemically Reacting Inviscid flow over Blunt-bodies Using Upwind Method (Upwind 방법을 이용한 무딘물체 주위의 화학적 비평형 비점성 유동장의 수치 해석)

  • Seo Jeong Il;Song Dong Joo
    • 한국전산유체공학회:학술대회논문집
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    • 1997.10a
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    • pp.99-105
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    • 1997
  • A finite-difference method based on conservative supra characteristic method type upwind flux difference splitting has been developed to study the nonequilibrium chemically reacting inviscid flow. For nonequilibrium air, NS-1 species equations were strongly coupled with flowfield equations through convection and species production terms. Inviscid nonequilibrium chemically reacting air mixture flows over Blunt-body were solved to demonstrate the capability of the current method. At low altitude flight conditions the nonequilibrium air models predicted almost the same temperature, density and pressure behind the shock as equilibrium flow: however, at high altitudes they showed substantial differences due to nonequilibrium chemistry effect. The new nonequilibrium chemically reacting upwind flux difference splitting mettled can be extended to viscous flow and multi-dimensional flow conditions.

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Comprehensive investigation of the Ronen method in slab geometry

  • Roy Gross ;Johan Cufe ;Daniele Tomatis;Erez Gilad
    • Nuclear Engineering and Technology
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    • v.55 no.2
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    • pp.734-748
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    • 2023
  • A comprehensive investigation of the Ronen method is performed in homogeneous and heterogeneous slab problems from the Sood benchmark, considering isotropic and linearly-anisotropic problems. Three finite differences implementations are exercised and compared. The results are compared to reference solutions using one and two energy groups. The validation is performed for the criticality eigenvalue and the fundamental neutron flux distribution. The results demonstrate the significantly improved accuracy achievable by the Ronen method using a broad set of problems. For standard convergence tolerances, the maximal deviation in criticality eigenvalue is less than ten pcm, and the maximal deviation in the spatial distribution of the flux is less than 2%, always located near sharp interfaces or vacuum boundaries.

Numerical analysis of the thermal behaviors of cellular concrete

  • She, Wei;Zhao, Guotang;Yang, Guotao;Jiang, Jinyang;Cao, Xiaoyu;Du, Yi
    • Computers and Concrete
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    • v.18 no.3
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    • pp.319-336
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    • 2016
  • In this study, both two- and three-dimensional (2D and 3D) finite-volume-based models were developed to analyze the heat transfer mechanisms through the porous structures of cellular concretes under steady-state heat transfer conditions and to investigate the differences between the 2D and 3D modeling results. The 2D and 3D reconstructed pore networks were generated from the microstructural information measured by 3D images captured by X-ray computerized tomography (X-CT). The computed effective thermal conductivities based on the 2D and 3D calculations performed on the reconstructed porous structures were found to be nearly identical to those evaluated from the 2D cross-sectional images and the 3D X-CT images, respectively. In addition, the 3D computed effective thermal conductivity was found to agree better with the measured values, in comparison with the 2D reconstruction and real cross-sectional images. Finally, the thermal conductivities computed for different reconstructed porous 3D structures of cellular concretes were compared with those obtained from 2D computations performed on 2D reconstructed structures. This comparison revealed the differences between 2D and 3D image-based modeling. A correlation was thus derived between the results of the 3D and 2D models.

Fatigue Life Analysis for Solder Joint of Optical Thin Film Filter Device (다층 박막 광학 필터 디바이스의 패키징시 솔더 조인트의 피로파괴 수명 해석)

  • 김명진;이형만
    • Journal of the Microelectronics and Packaging Society
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    • v.10 no.2
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    • pp.19-26
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    • 2003
  • Plastic and creep deformations of a solder joint on thermal cycle play an important role in the reliability of optical telecommunication components. Solder joint strain is increased with the thermal cycle time and it causes mis-alignments and power loss in the optical component. Furthermore, the component can be failed since the deformation exceed the limitation of the fatigue life. We applied the finite element analysis method to solve the problem of the solder joint reliability on thermal cycle. Plastic and creep deformations are calculated by the finite element method. And, the fatigue lire is predicted by using creep-fatigue prediction models with calculated strains. The temperature conditon of the analysis was referred from the Telcordia reliability schedule (-40 to 75). Also, the three ramp renditions, 1/min, 10/min and 50/min, and dwelling time were considered to analyze the differences of results.

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AN EVALUATION OF ANGLES BETWEEN THE ALVEOLAR CREST BONE AND THE IMPLANT EFFECT ON THE IMPLANT CRESTAL AREA INDUCED STRESSES USING A FINITE ELEMENT METHOD (임플랜트와 경부골이 이루는 각도가 치경부 응력 발생에 미치는 영향)

  • Cho, Sung-Bum;Lee, Kyu-Bok;Jo, Kwang-Hun
    • The Journal of Korean Academy of Prosthodontics
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    • v.45 no.2
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    • pp.274-282
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    • 2007
  • Statement of problem: Main consideration was given to the stresses at the site of implant entry into the cortical bone at the alveolar crest. As a suspectible factor affecting the occurrence of stress concentrations, the contact angle between the implant and the alveolar crest bone was addressed. Purpose: The purpose of this study is to evaluate angles between the alveolar crest bone and the implant effect on the implant crestal area induced stresses using a finite element method. Material and methods: Cylindrically shaped, standard size ITI implants entering into alveolar crest with four different contact angles of 0, 15, 30, and 45 deg. with the long axis of the implant were axisymmetrically modelled. Alterations of stresses around the implants were computed and compared at the cervical cortical bone. Results and conclusion: The results demonstrated that regardless of the difference of the implant/alveolar crest bone contact angles, stress concentration occurred at the cervical bone and the angle differences led to insignificant variations in stress level.