• Title/Summary/Keyword: Lennard-Jones Potential

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Study on Rate Dependent Fracture Behavior of Structures; Application to Brittle Materials Using Molecular Dynamics (구조물의 속도 의존적 파괴 특성에 대한 연구; 입자동역학을 이용한 취성재료에의 적용)

  • Kim, Kunhwi;Lim, Jihoon;Llim, Yun Mook
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.4A
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    • pp.529-536
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    • 2008
  • The failure behavior of structures is changed under different loading rates, which might arise from the rate dependency of materials. This phenomenon has been focused in the engineering fields. However, the failure mechanism is not fully understood yet, so that it is hard to be implemented in numerical simulations. In this study, the numerical experiments to a brittle material are simulated by the Molecular Dynamics (MD) for understanding the rate dependent failure behavior. The material specimen with a notch is modeled for the compact tension test simulation. Lennard-Jones potential is used to describe the properties of a brittle material. Several dynamic failure features under 6 different loading rates are achieved from the numerical experiments, where remarkable characteristics such as crack roughness, crack recession/arrest, and crack branching are observed during the crack propagation. These observations are interpreted by the energy inflow-consumption rates. This study will provides insight about the dynamic failure mechanism under different loading rates. In addition, the applicability of the MD to the macroscopic mechanics is estimated by simulating the previous experimental research.

Molecular Dynamics Simulation of First-Order Phase Transition (일차 상변화 과정의 분자 동력학적 모사)

  • Lee, Jae-Yeon;Yoon, Woong-Sup
    • 한국연소학회:학술대회논문집
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    • 2004.11a
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    • pp.161-166
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    • 2004
  • A study of argon droplet vaporization is conducted using molecular dynamics. Instead of using traditional method such as the Navier-Stokes equation. Molecular dynamics uses Lagrangian frame to describe molecular behavior in a system and uses only momentum and position data of all molecules in the system. So every property is not a hypothetical input but a statistical result calculated from the momentum and position data. This work performed a simulation of the first-order stability for phase transition of a three dementional submicron argon droplet within quiescent environment. Lennard-Jones 12-6 potential function is used as a intermolecular potential function. The molecular configuration is examined while an initially non-sperical droplet is changed into the spherical shape and droplet evaporates or condensates.

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Finite Element Model to Simulate Crack Propagation Using Interface Elements and Its Verification in Tensile Test

  • Chu, Shi;Yu, Luo;Zhen, Chen
    • Journal of Advanced Research in Ocean Engineering
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    • v.1 no.1
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    • pp.36-43
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    • 2015
  • Since the crack generation and its propagation caused by welding defects is one of the main hull damage patterns, the simulation of crack propagation process has an important significance for ship safety. Based on interface element method, a finite element model to simulate crack propagation is studied in the paper. A Lennard-Jones type potential function is employed to define potential energy of the interface element. Tensile tests of steel flat plates with initial central crack are carried out. Surface energy density and spring critical stress that are suitable for the simulation of crack propagation are determined by comparing numerical calculation and tests results. Based on a large number of simulation results, the curve of simulation correction parameter plotted against the crack length is calculated.

Molecular Dynamic Simulation of The Temperature-Dependent Single Wall Carbon Nanotube (온도변화에 따른 탄소 나노튜브의 분자 동역학 시뮬레이션)

  • 문원하;강정원;이영직;박수현;황호정
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.913-916
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    • 1999
  • Recent developments of carbon nanotubes are reviewed[1,2,3,4]. We use Tersoff carbon potential for bonded interactions[5] and Lennard-Jones 12-6 potential for non bonding interactions[6]to describe mechanical properties of the temperature-dependent armchair single wall carbon nanotube. At first we report that through defect number and bonding energy calculation, how single wall carbon nanutube is capped in the constant temperature. (300K, 2000K, 3000K, 4000K) At second, we perform MD simulation, which are performed on the energy optimized structure of carbon nanotube.

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Molecular Dynamics Simulation of Droplet Vaporization (분자 동력학을 이용한 액적 기화 시뮬레이션)

  • Nam, Gun-Woo;Yoon, Woong-Sup
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.121-126
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    • 2003
  • A study of argon droplet vaporization is conducted using molecular dynamics, instead of using traditional methods such as the Navier-Stokes equation. Molecular dynamics uses Lagrangian frame to describe molecular behavior in a system and uses only momentum and position data of all molecules in the system. So every property is not a hypothetical input but a statistical result calculated from the momentum and position data. This work performed a simulation of the complete vaporization of a three dimensional submicron argon droplet within quiescent environment. Lennard-Jones 12-6 potential function is used as a intermolecular potential function. The molecular configuration is examined while an initially non-spherical droplet is changed into the spherical shape and droplet evaporates. And the droplet radius versus time is calculated with temperature and pressure profile.

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Vapor-liquid Interface of Argon by Using a Test-area Simulation Method

  • Lee, Song-Hi
    • Bulletin of the Korean Chemical Society
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    • v.33 no.1
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    • pp.167-170
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    • 2012
  • A test-area molecular dynamics simulation method for the vapor-liquid interface of argon through a Lennard-Jones intermolecular potential is presented in this paper as a primary study of interfacial systems. We found that the calculated density profile along the z-direction normal to the interface is not changed with time after equilibration and that the values of surface tension computed from this test-area method are fully consistent with the experimental data. We compared the thermodynamic properties of vapor argon, liquid argon, and argon in the vapor-liquid interface. Comparisons are made with kinetic and potential energies, diffusion coefficient, and viscosity.

Water Vapor Supply Study for Air and Carbon dioxide (공기와 이산화탄소 가스에 수분공급을 위한 연구)

  • Lee, Taeck Hong;Park, Tae Seong;Kim, Tae Wan;Noh, Jae Hyun;Kang, Young Jin;Lee, Seung Yong
    • Transactions of the Korean hydrogen and new energy society
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    • v.25 no.1
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    • pp.72-78
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    • 2014
  • The study has been designed to develop water vapor supply for semiconductor industry, industrial gas manufacturing, impurities analysis, and fuel cell. Water concentration in air reached $1019{\mu}mol/mol$ at dew temp ($-20^{\circ}C$) and water concentration in CO2 reached $127{\mu}mol/mol$ at dew temp ($-40^{\circ}C$. Carbon dioxide needs more wet gas than air because interaction potential of carbon dioxide shows more strong attraction than air.

Molecular Dynamics Simulation for the Mechanical Properties of CNT/Polymer Nanocomposites (분자동역학 시뮬레이션을 이용한 나노튜브/고분자 나노복합재의 물성 해석)

  • Yang, Seung-Hwa;Cho, Maeg-Hyo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.2 s.257
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    • pp.237-244
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    • 2007
  • In order to obtain mechanical properties of CNT/Polymer nano-composites, molecular dynamics simulation is performed. Overall system was modeled as a flexible unit cell in which carbon nanotubes are embedded into a polyethylene matrix for N $\sigma$ T ensemble simulation. COMPASS force field was chosen to describe inter and intra molecular potential and bulk effect was achieved via periodic boundary conditions. In CNT-polymer interface, only Lennard-Jones non-bond potential was considered. Using Parrinello-Rahman fluctuation method, mechanical properties of orthotropic nano-composites under various temperatures were successfully obtained. Also, we investigated thermal behavior of the short CNT reinforced nanocomposites system with predicting glass transition temperature.

The Vacancies-in-Solid Model Applied to Solid Argon

  • Ko Seuk Beum;Kim Wan Kyue;Moon Byung Yol
    • Bulletin of the Korean Chemical Society
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    • v.3 no.1
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    • pp.18-23
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    • 1982
  • The molar volumes, the molar heat capacities and the molar entropies of solid argon are calculated from 0 K to the triple point using the vacancies-in-solid model. In the partition function, the central pairwise additive (Mie-Lennard-Jones 12,6) potential is used by introducing numbers, which is obtained by summing powers over all lattice points of a face-centred cubic in terms of the distance between nearest neighbours. A method of iteration is employed to evaluate the potential parameter. The results are compared with experimental values and other theoretical values. The results show a fair agreement with the experimental results.

Molecular Dynamic Study of a Polymeric Solution (I). Chain-Length Effect

  • Lee Young Seek;Ree Taikyue
    • Bulletin of the Korean Chemical Society
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    • v.3 no.2
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    • pp.44-49
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    • 1982
  • Dynamic and equilibrium structures of a polymer chain immersed in solvent molecules have been investigated by a molecular dynamic method. The calculation employs the Lennard-Jones potential function to represent the interactions between two solvent molecules (SS) and between a constituent particle (monomer unit) of the polymer chain and a solvent molecule (CS) as well as between two non-nearest neighbor constituent particles of the polymer chain (CC), while the chemical bond for nearest neighbor constituent particles was chosen to follow a harmonic oscillator potential law. The correlation function for the SS, CS and CC pairs, the end-to-end distance square and the radius of gyration square were calculated by varying the chain length (= 5, 10, 15, 20). The computed end-to-end distance square and the radius of gyration square were found to be in a fairly good agreement with the corresponding results from the random-flight model. Unlike earlier works, the present simulation rsesult shows that the autocorrelation function of radius of gyration square decays slower than that of the end-to-end distance square.