• Title/Summary/Keyword: traction boundary

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Progressive Fracture Analysis of Concrete by Boundary Element Method and its Stabilizing Technique (경계요소법에 의한 콘크리트의 파괴진행해석 및 안정화 기법)

  • 송하원;전재홍
    • Magazine of the Korea Concrete Institute
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    • v.8 no.6
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    • pp.205-212
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    • 1996
  • This paper presents progressive fracture analysis of concrete using boundary element method and its stabilizing technique. To determine ultimate strength and to predict nonlinear behavior of concrete during progressive crack growth, the modelling of fracture process zone is done based on Dugdale-Barenblatt model with linear tension-softening curve. We regulate displacement and traction boundary integral equation of solids including crack boundary and analyze progressive fracture of concrete beam and compact tension specimen. Also a numerical technique which considers the growth of stress-free crack of concrete during the analysis and removes snapback of postpeak behavior is proposed.

ON COMPLEX VARIABLE METHOD IN FINITE ELASTICITY

  • Akinola, Ade
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.183-198
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    • 2003
  • We highlight the alternative presentation of the Cauchy-Riemann conditions for the analyticity of a complex variable function and consider plane equilibrium problem for an elastic transversely isotropic layer, in finite deformation. We state the fundamental problems and consider traction boundary value problem, as an example of fundamental problem-one. A simple solution of“Lame's problem”for an infinite layer is obtained. The profile of the deformed contour is given; and this depends on the order of the term used in the power series specification for the complex potential and on the material constants of the medium.

A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates

  • Nguyen, Kien T.;Thai, Tai H.;Vo, Thuc P.
    • Steel and Composite Structures
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    • v.18 no.1
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    • pp.91-120
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    • 2015
  • A refined higher-order shear deformation theory for bending, vibration and buckling analysis of functionally graded sandwich plates is presented in this paper. It contains only four unknowns, accounts for a hyperbolic distribution of transverse shear stress and satisfies the traction free boundary conditions. Equations of motion are derived from Hamilton's principle. The Navier-type and finite element solutions are derived for plate with simply-supported and various boundary conditions, respectively. Numerical examples are presented for functionally graded sandwich plates with homogeneous hardcore and softcore to verify the validity of the developed theory. It is observed that the present theory with four unknowns predicts the response accurately and efficiently.

Electric field distribution according to surface roughness of insulating paper (표면 거침도에 따른 종이절연지의 전계분포)

  • Park, Hyoung-Jun;Kim, Weon-Jong;Shin, Jong-Yeol;Kim, Soo-Won;Hong, Jin-Woong
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2004.11a
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    • pp.323-326
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    • 2004
  • The this paper is describing about the electric field distribution due to the roughness in Aramid insulating paper for electric machine. The insulting and pressboard paper have been used at electric insulating of traction motor and generators. There was a change investigation of the electric field distribution according to the roughness of specimen by simulation program of Electro. We studied the electric field distribution using boundary element method for Aramid insulator. We find out an optimal condition in insulating paper of electric machine.

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Propagation of love-type wave in a temperature dependent crustal Layer

  • Kakar, Rajneesh;Kakar, Shikha;Narang, Rajeev Kumar
    • Smart Structures and Systems
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    • v.19 no.3
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    • pp.237-241
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    • 2017
  • The present study deals with the propagation of Love wave (a type of surface wave) in crustal layer having temperature dependent inhomogeneity. It is assumed that the inhomogeneity in the crustal layer arises due to linear temperature variation in rigidity and density. The upper boundary of the crustal layer is traction free. Numerical results for Love wave are discussed by plotting analytical curves between phase velocity against wave number and stress against depth in the presence of inhomogeneity and temperature parameters. The effects boundary condition on the Love wave propagation in the crustal layer is also analyzed. The results presented in this study would be useful for seismologists and geologists.

Effect of Electrical Properties in the insulating Varnish due to Internal Voids (내부 보이드가 절연 바니시의 전기적 특성에 미치는 영향)

  • Park, Hyoung-Jun;Heo, Youn;Kim, Weon-Jong;Yoon, Hun-Ju;Shin, Jong-Yeal;Hong, Jin-Woong
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.07a
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    • pp.472-475
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    • 2003
  • In this paper, insulating varnish has been used for field magnet and armature impregnated insulating material of electric locomotive and traction motor. When it was duplicated coating, it could be accuse internal void, and which could change electrical characteristics. We used to boundary elemental method of simulation tool, and improved optimal insulating design of insulating varnish according to measuring electric distribution in void of specimen.

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Boundary Element Anslysis of Multilayered System for Moving Loads (이동하중에 대한 다층반무한체의 동적경제요소 해석)

  • 김문겸
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1998.04a
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    • pp.98-105
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    • 1998
  • In this study, the boundary element analysis in dynamics for the multilayered semi-infinite plane is developed using the fundamental solution for moving loads. Also the indirect method and superposition method are introduced to consider the multilayered systems and moving loads. At each layer the fundamental solution can be obtained by solving the governing equation which is transformed by the Fourier transform. The governing equation can be solved by three conditions; continuity conditions of displacement and stress, the traction free condition at the surface and the radiation condition at the surface and the radiation condition at the infinite distance. To verify the solution and the developed algorithm, the theoretical solution for the homogeneous layer and commercial FEM program is compared with the results of this study.

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Fracture Analysis of Concrete Cylinder by Boundary Element Method (경계요소법에 의한 콘크리트 원통형관의 파괴해석)

  • 송하원;전재홍;변근주
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.171-177
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    • 1995
  • Fracture mechanics does work for concrete, provided that one uses a proper, nonlinear form of fracture mechanics in which a finite nonlinear zone at fracture front is being considered. The fracture process zone is a region ahead of a traction-free crack, and the development of model of fracture process zone is most important to describe fracture phenomena in concrete. This paper is about fracture behavior of concrete cylinder under lateral pressure. Concrete cylinders were made of high strength normal connote, steel fiber reinforced concrete and steel fiber reinforced polymer-impregnated concrete and concrete and the fracture behavior such as cracking propagation and ultimate load are observed. The fracture process zone is modelled by a Dugdale-Barenblatt type model with linear tension-softening curve and are implemented to the boundary element technique for the fracture analyses of the cylinders. The experimental results are compared with analysis results and tension-softening curves for the steel fiber reinforced concrete and steel fiber reinforced polymer-impregnated concrete are obtained by back analyses.

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Non-linear thermal buckling of FG plates with porosity based on hyperbolic shear deformation theory

  • Hadji, Lazreg;Amoozgar, Mohammadreza;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.42 no.5
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    • pp.711-722
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    • 2022
  • In this paper, hyperbolic shear deformation plate theory is developed for thermal buckling of functionally graded plates with porosity by dividing transverse displacement into bending and shear parts. The present theory is variationally consistent, and accounts for a quadratic variation of the transverse shearstrains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Three different patterns of porosity distributions (including even and uneven distribution patterns, and the logarithmic-uneven pattern) are considered. The logarithmic-uneven porosities for first time is mentioned. Equilibrium and stability equations are derived based on the present theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. A comprehensive parametric study is carried out to assess the effects of volume fraction index, porosity fraction index, aspect ratio and side-to-thickness ratio on the buckling temperature difference of imperfect FG plates.

Three-Dimensional Simulation of Seismic Wave Propagation in Elastic Media Using Finite-Difference Method (유한차분법을 이용한 3차원 지진파 전파 모의)

  • 강태섭
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2000.10a
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    • pp.81-88
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    • 2000
  • The elastic wave equation is solved using the finite-difference method in 3D space to simulate the seismic wave propagation. It is based on the velocity-stress formulation of the equation of motion on a staggered grid. The nonreflecting boundary conditions are used to attenuate the wave field close to the numerical boundary. To satisfy the stress-free conditions at the free-surface boundary, a new formulation combining the zero-stress formalism with the vacuum one is applied. The effective media parameters are employed to satisfy the traction continuity condition across the media interface. With use of the moment-tensor components, the wide range of source mechanism parameters can be specified. The numerical experiments are carried out in order to test the applicability and accuracy of this scheme and to understand the fundamental features of the wave propagation under the generalized elastic media structure. Computational results show that the scheme is sufficiently accurate for modeling wave propagation in 3D elastic media and generates all the possible phases appropriately in under the given heterogeneous velocity structure. Also the characteristics of the ground motion in an sedimentary basin such as the amplification, trapping, and focusing of the elastic wave energy are well represented. These results demonstrate the use of this simulation method will be helpful for modeling the ground motion of seismological and engineering purpose like earthquake hazard assessment, seismic design, city planning, and etc..

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