• Title/Summary/Keyword: discrete-element

Search Result 686, Processing Time 0.026 seconds

Meso scale model for fiber-reinforced-concrete: Microplane based approach

  • Smolcic, Zeljko;Ozbolt, Josko
    • Computers and Concrete
    • /
    • v.19 no.4
    • /
    • pp.375-385
    • /
    • 2017
  • In the present paper experimental and numerical analysis of hook-ended steel fiber reinforced concrete is carried out. The experimental tests are performed on notched beams loaded in 3-point bending using fiber volume fractions up to 1.5%. The numerical analysis of fiber reinforced concrete beams is performed at meso scale. The concrete is discretized with 3D solid finite elements and microplane model is used as a constitutive law. The fibers are modelled by randomly generated 1D truss finite elements, which are connected with concrete matrix by discrete bond-slip relationship. It is demonstrated that the presented approach, which is based on the modelling of concrete matrix using microplane model, able to realistically replicate experimental results. In all investigated cases failure is due to the pull-out of fibers. It is shown that with increase of volume content of fibers the effective bond strength and slip capacity of fibers decreases.

ERROR ESTIMATE OF EXTRAPOLATED DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE VISCOELASTICITY TYPE EQUATION

  • Ohm, Mi-Ray;Lee, Hyun-Yong;Shin, Jun-Yong
    • Journal of applied mathematics & informatics
    • /
    • v.29 no.1_2
    • /
    • pp.311-326
    • /
    • 2011
  • In this paper, we adopt discontinuous Galerkin methods with penalty terms namely symmetric interior penalty Galerkin methods, to solve nonlinear viscoelasticity type equations. We construct finite element spaces and define an appropriate projection of u and prove its optimal convergence. We construct extrapolated fully discrete discontinuous Galerkin approximations for the viscoelasticity type equation and prove ${\ell}^{\infty}(L^2)$ optimal error estimates in both spatial direction and temporal direction.

Pedestrian flow at bottle neck of aisle on emergency escape (비상 탈출시 병목구간 통로에서의 보행자 유동)

  • Song, G.;Park, J.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2011.05a
    • /
    • pp.183-186
    • /
    • 2011
  • There are numerous crashed deaths or near-miss accidents in everywhere. The outbreak place is not just developing countries such as India and Iran, but also leading countries including Japan and German. The crashed death of pedestrian seems to be an unavoidable accident. However, it was revealed in social psychology field that the accident can be treated as a kind of physical phenomenon. In this study, we apply discrete element method frequently used in the field of two-phase flow to pedestrian flow with collective behavior psychology. This approach is a field of social science and physics, called computational sociology. The acquired results show that emergency exit size can be related with the wall slope of the exit.

  • PDF

Simulation of particle filtration by Brownian dynamics (Brownian dynamics 를 이용한 입자 포집 모사)

  • Bang, Jong-Geun;Yoon, Yoong-Sup
    • Proceedings of the KSME Conference
    • /
    • 2008.11a
    • /
    • pp.1922-1927
    • /
    • 2008
  • In the present study, deposition of discrete and small particles, which diameter is less than $1{\mu}m$, on a filter element was simulated by stochastic method. Trajectory of each particle was numerically solved by Langevin equation and Brownian random motion was treated by Brownian dynamics. Lattice Boltzmann method (LBM) was used to solve flow field around the filter collector and deposit layer. Interaction between flow field and deposit layer was obtained from a converged solution from an inner-loop calculation. Simulation method is properly validated and collection efficiency due to different filtration parameters are examined and discussed. Morphology of deposit layer and its evolution was visualized in terms of the particle size. The particle loaded effect on collection efficiency was also discussed.

  • PDF

THE HP-VERSION OF THE FINITE ELEMENT METHOD UNDER NUMERICAL QUADRATURE RULES

  • Kim, Ik-Sung
    • East Asian mathematical journal
    • /
    • v.14 no.1
    • /
    • pp.63-76
    • /
    • 1998
  • we consider the hp-version to solve non-constant coefficients elliptic equations $-div(a{\nabla}u)=f$ with Dirichlet boundary conditions on a bounded polygonal domain $\Omega$ in $R^2$. In [6], M. Suri obtained an optimal error-estimate for the hp-version: ${\parallel}u-u^h_p{\parallel}_{1,\Omega}{\leq}Cp^{(\sigma-1)}h^{min(p,\sigma-1)}{\parallel}u{\parallel}_{\sigma,\Omega}$. This optimal result follows under the assumption that all integrations are performed exactly. In practice, the integrals are seldom computed exactly. The numerical quadrature rule scheme is needed to compute the integrals in the variational formulation of the discrete problem. In this paper we consider a family $G_p=\{I_m\}$ of numerical quadrature rules satisfying certain properties, which can be used for calculating the integrals. Under the numerical quadrature rules we will give the variational form of our non-constant coefficients elliptic problem and derive an error estimate of ${\parallel}u-\tilde{u}^h_p{\parallel}_{1,\Omega}$.

  • PDF

Optimal Ply Design of Laminated Composite Cantilever plate Considering Vibration (진동을 고려한 복합적층 외팔평판의 최적적층설계)

  • Gu, K.M.;Noh, Y.H.;Kim, D.Y.;Hong, D.K.;Ahn, C.W.;Han, G.J.;Park, H.S.
    • Proceedings of the KSME Conference
    • /
    • 2003.11a
    • /
    • pp.1660-1665
    • /
    • 2003
  • On this study, we improved the efficiency applying algorithm that is repeatedly using orthogonal array in discrete design space and filling a defect of gradient method in continuous design space. we showed optimal ply angle that maximized 1st natural frequency of CFRP laminated composite cantilever plate by each aspect ratio. A finite element analysis on the CFRP laminated composite cantilever plate using orthogonal array is carried out, and the results are compared with those obtained by modal testing.

  • PDF

Iron Loss Analysis of Induction Motor Considering Harmonics of the Flux Density (고조파 분석을 통한 유도 전동기의 철손해석)

  • Lee, Jae-Gun;Lee, Jeong-Jong;Ha, Kyoung-Ho;Hong, Jung-Pro;Lee, Jung-Ho
    • Proceedings of the KIEE Conference
    • /
    • 2002.11d
    • /
    • pp.91-93
    • /
    • 2002
  • This paper presents a calculation method of iron loss in Induction Motor which is based on 2D Transient Finite Element Method. Iron loss is evaluated by the frequency analysis of flux density waveforms using Discrete Fourier Transforms (DFT) and iron loss curves data. Then. the distribution of loss and the total loss are obtained. The validity of this method is verified by the comparison of the estimated values with measured ones.

  • PDF

Numerical Study of Particle Collection and Entrainment in Electrostatic Precipitator (집진기내 입자 포집과 비산 문제에 대한 수치적 연구)

  • Kim, Ju-Hyeon;Kweon, Soon-Cheol;Kwon, Ki-Hwan;Lee, Sang-Hwan;Lee, Ju-Hee
    • The KSFM Journal of Fluid Machinery
    • /
    • v.15 no.1
    • /
    • pp.27-35
    • /
    • 2012
  • A numerical simulation for particle collection efficiency in a wire-plate electrostatic precipitator (ESP) has been performed. Method of characteristics and finite differencing method (MOC-FDM) were employed to obtain electric field and space charge density, and lattice boltzmann method (LBM) was used to predict the Electrohydrodynamic (EHD) flow according to the ion convection. Large eddy simulation (LES) was considered for turbulent flow and particle simulation was performed by discrete element method (DEM) which considered field charging, electric force, drag force and wall-collision. One way coupling from FDM to LBM was used with small and low density particle assumption. When the charged particle collided with the collecting plate, particle-wall collision was calculated for re-entertainment effect and the effect of gravity force was considered.

Single and High-Lift Airfoil Design Optimization Using Aerodynamic Sensitivity Analysis

  • Kim, Chang Sung;Lee, Byoungjoon;Kim, Chongam;Rho, Oh-Hyun
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.2 no.1
    • /
    • pp.20-27
    • /
    • 2001
  • Aerodynamic sensitivity analysis is performed for the Navier-Stokes equations coupled with two-equation turbulence models using a discrete adjoint method and a direct differentiation method respectively. Like the mean flow equations, the turbulence model equations are also hand-differentiated to accurately calculate the sensitivity derivatives of flow quantities with respect to design variables in turbulent viscous flows. The sensitivity codes are then compared with the flow solver in terms of solution accuracy, computing time and computer memory requirements. The sensitivity derivatives obtained from the sensitivity codes with different turbulence models are compared with each other. The capability of the present sensitivity codes to treat complex geometry is successfully demonstrated by analyzing the flows over multi-element airfoils on Chimera overlaid grid systems.

  • PDF

Efficient Dynamic Response Analysis Using Substructuring Reduction Method for Discrete Linear System with Proportional and Nonproportional Damping

  • Choi, Dong-Soo;Cho, Maeng-Hyo;Kim, Hyun-Gi
    • International Journal of Aeronautical and Space Sciences
    • /
    • v.9 no.1
    • /
    • pp.85-99
    • /
    • 2008
  • The dynamic response analysis for large structures using finite element method requires a large amount of computational resources. This paper presents an efficient vibration analysis procedure by combining node-based substructuring reduction method with a response analysis scheme for structures with undamped, proportional or nonproportional damping. The iterative form of substructuring reduction scheme is derived to reduce the full eigenproblem and to calculate the dynamic responses. In calculating the time response, direct integration scheme is used because it can be applied directly to the reduced model. Especially for the non proportional damping matrix, the transformation matrices defined in the displacement space are used to reduce the system. The efficiency and the effectiveness of the present method are demonstrated through the numerical examples.