• Title/Summary/Keyword: Evolution equation

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Computer Simulation of Hemispherical Sheet Forming Process Using Crystal Plasticity (결정 소성학을 이용한 반구 박판 성형공정 전산모사)

  • Shim, J.G.;Keum, Y.T.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2007.05a
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    • pp.282-284
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    • 2007
  • The hardening and the constitutive equation based on the crystal plasticity are introduced for the numerical simulation of hemispherical sheet metal forming. For calculating the deformation and the stress of the crystal, Taylor's model of the crystalline aggregate is employed. The hardening is evaluated by using the Taylor factor, the critical resolved shear stress of the slip system, and the sum of the crystallographic shears. During the hemispherical forming process, the texture of the sheet metal is evolved by the plastic deformation of the crystal. By observing the texture evolution of the BCC sheet, the texture evolution of the sheet is traced during the forming process. Deformation texture of the BCC sheet is represented by using the pole figure. The comparison of the strain distribution and punch force in the hemispherical forming process between crystal plasticity and experiment shows the verification of the crystal-based formulation and the accuracy of the hardening and constitutive equation obtained from the crystal plasticity.

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Dynamic recrystallization and microstructure evolution of a Nb-V microalloyed forging steel during hot deformation

  • Zhao, Yang;Chen, Liqing;Liu, Xianghua
    • Advances in materials Research
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    • v.3 no.4
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    • pp.217-225
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    • 2014
  • In this study, a forging steel alloyed with both Nb and V was used as experimental material and the hot deformation behavior has been studied for this steel by conducting the compressive deformation test at temperature of $900-1150^{\circ}C$ and strain rate of $0.01-0.01s^{-1}$ in a MMS-300 thermo-mechanical simulator. The microstructure evolution, particularly the dynamically recrystallized microstructure, of the experimental steel at elevated temperatures, strain rates and strain levels, was characterized by optical microstructural observation and the constitutive equation in association with the activation energy and Zener-Hollomon parameter. The curves of strain hardening rate versus stress were used to determine the critical strain and peak strain, and their relation was connected with Zener-Hollomon parameter. Under the conditions of processing temperature $900^{\circ}C$ and strain rate $0.01s^{-1}$, the dynamic recrystallization took place and the austenite grain size was refined from $164.5{\mu}m$ to $28.9{\mu}m$.

Run-up and Evolution of Solitary Waves on Steep Slopes (급경사에서 고립파의 처오름과 진행과정)

  • 조용식
    • Water for future
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    • v.28 no.6
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    • pp.159-168
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    • 1995
  • The run-up and the evolution of solitary waves on steep beaches are investigated by using a two-dimensional boundary integral equation model. The model is first used to compute the run-up heights of solitary waves on a relatively mind slope. The model is verified by comparing the computed numerical solutions with available experimental data, other numerical solutions and approximated analytical solutions. The agreement between the present numerical solutions and the other data is found to be excellent. The model is then applied to the calculation of run-up heights on very steep slopes. As far as the maximum run-up of solitary waves is concerned, the boundary integral equation model provides reasonable and reliable solutions. Finally, the evolution on steep beaches is also examined and the obtained wave heights are compared with those calculated from the Green's law.

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THE DYNAMICAL EVOLUTION OF GLOBULAR CLUSTERS WITH STELLAR MASS LOSS

  • Kim, Chang-Hwan;Chun, Mun-Suk;Min, Kyung-W.
    • Journal of Astronomy and Space Sciences
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    • v.8 no.1
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    • pp.11-23
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    • 1991
  • The dynamical evolution of globular clusters is studied using the orbit-averaged multicomponent Fokker-Planck equation. The original code developed by Cohn(1980) is modi-fied to include the effect of stellar evolutions. Plommer's model is chosen as the initial density distribution with the initial mass function index $\alpha$=0.25, 0.65, 1.35, 2.35, and 3.35. The mass loss rate adopted in this work follows that of Fusi-Pecci and Renzini(1976). The stellar mass loss acts as the energy source, and thus affects the dynamical evolution of globular clusters by slowing down the evolution rate and extending the core collapse time Tcc. And the dynamical length scale $$R_c, $$R_h is also extended. This represents the expansion of cluster due to the stellar mass loss.

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Co-Evolution between Open Innovation and Absorptive Capacity in Korean SMEs (개방형 혁신과 흡수역량의 공진화 : 한국 중소기업의 혁신경로 관점)

  • Sohn, Dong-Won
    • Korean Management Science Review
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    • v.29 no.3
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    • pp.169-182
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    • 2012
  • This study examines the co-evolutionary process between open innovation and firms' absorptive capacity. The effects of open innovation can be maximized through the capacity to absorb the knowledge from the external sources such as universities, government-support research institute, and private R&D centers. This study used data of STEPI technology innovation survey conducted at 2002, 2005, and 2008 (3 points measures). The data were analyzed through a structural equation model. Results suggest that open innovation at t0 point influences positively the absorptive capacity at t1 point, which subsequently enhances the intention of open innovation at t2 point. This result suggests the existence of co-evolutionary process between open innovation and firms' absorptive capacity. When knowledge comes from universities, the co-evolution has sustained; whereas when knowledge comes from private firms' R&D centers, the co-evolution has not effected. Theoretical and practical implications are discussed.

PREDICTION OF MICROSTRUCTURE EVOLUTION AND HARDNESS DISTRIBUTION IN THE WELD REPAIR OF CARBON STEEL PIPELINE

  • Li, Victor;Kim, Dong
    • Proceedings of the KWS Conference
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    • 2002.10a
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    • pp.205-210
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    • 2002
  • This article presents an integrated modeling approach for coupled analysis of heat transfer and microstructure evolution in welding carbon steel. The modeling procedure utilizes commercial [mite element code ABAQUS/Standard as the platform for solving the equation of heat conduction. User subroutines that implement computational thermodynamics and kinetics models are integrated with the FEA code to compute the transient microstructure evolution. In this study, the integrated models are applied to simulate the hot-tap repair welding of carbon steel pipeline. Microstructural components are treated as user output variables. Based on the predicted microstructure and cooling rates, hardness distributions in the welds were also predicted. The predicted microstructure and hardness distribution were found in good agreement with metallographic examinations and hardness measurements. This study demonstrates the applicability of computational models for the development of welding procedure for in-service pipeline repair.

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Prediction of Microstructure Evolution and Hardness Distribution in the Weld Repair of Carbon Steel Pipeline

  • Li, V.;Kim, D.
    • International Journal of Korean Welding Society
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    • v.2 no.2
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    • pp.1-6
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    • 2002
  • This article presents an integrated modeling approach for coupled analysis of heat transfer and microstructure evolution in welding carbon steel. The modeling procedure utilizes commercial finite element code ABAQUS/Standard as the platform for solving the equation of heat conduction. User subroutines that Implement computational thermodynamics and kinetics models are integrated with the FEA code to compute the transient microstructure evolution. In this study, the integrated models are applied to simulate the hot-tap repair welding of carbon steel pipeline. Microstructural components are treated as user output variables. Based on the predicted microstructure and cooling rates, hardness distributions in the welds were also predicted. The predicted microstructure and hardness distribution were found in good agreement with metallographic examinations and hardness measurements. This study demonstrates the applicability of computational models for the development of welding procedure for in-service pipeline repair.

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Optimization of the Deflection Yoke Coil for Color Display Tubes

  • Im, Chang-Hwan;Jung, Hyun-Kyo;Jung, Kwang-Sig;Cho, Yoon-Hyoung
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.11B no.3
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    • pp.81-85
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    • 2001
  • Processes for optimizing the coil shape of deflection yoke are proposed A very accurate and practical winding modeler is developed and volume integral equation method (VIEM) is used for field calculation. Two steps of optimizations are done by using (1+1) evolution strategy. Those are dimensional optimization and pin-position optimization Various techniques are applied for reducing computational time for the optimization.

NEW EXACT SOLUTIONS OF SOME NONLINEAR EVOLUTION EQUATIONS BY SUB-ODE METHOD

  • Lee, Youho;An, Jeong Hyang
    • Honam Mathematical Journal
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    • v.35 no.4
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    • pp.683-699
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    • 2013
  • In this paper, an improved ($\frac{G^{\prime}}{G}$)-expansion method is proposed for obtaining travelling wave solutions of nonlinear evolution equations. The proposed technique called ($\frac{F}{G}$)-expansion method is more powerful than the method ($\frac{G^{\prime}}{G}$)-expansion method. The efficiency of the method is demonstrated on a variety of nonlinear partial differential equations such as KdV equation, mKd equation and Boussinesq equations. As a result, more travelling wave solutions are obtained including not only all the known solutions but also the computation burden is greatly decreased compared with the existing method. The travelling wave solutions are expressed by the hyperbolic functions and the trigonometric functions. The result reveals that the proposed method is simple and effective, and can be used for many other nonlinear evolutions equations arising in mathematical physics.

Analysis of the Pultrusion Process of Thermosetting Composites Containing Volatiles (휘발물질이 존재하는 열경화성수지 복합재료의 Pultrusion 공정 해석)

  • 김대환;이우일;김병선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.527-536
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    • 1995
  • Analysis of pultrusion process for the thermosetting composites containing volatiles was performed. Degree of cure, amount of volatile evolved and pulling force were calculated for the processing variables such as die temperature and pulling speed. Cure kinetics was modeled from the data obtained by DSC(Differential Scanning Calorimeter). The volatile evolution kinetics was modeled from the data by DSC as well as TGA(Thermo Gravimetric Analyzer). The cure kinetics and volatile evolution kinetics models were incorporated into the energy equation. The resulting governing equation was solved using finite element method. Pulling force was calculated through the analysis of pressure developed inside the pultrusion die. Experiments were performed and the data were compared with the calculated results. Good agreements were observed.