• Title/Summary/Keyword: Intensity of elements

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Determination of Stress Intensity Factor for the Crack in Anisotropic Solids Using the Finite Element Method (유한요소법에 의한 이방성재료내 균열의 응력확대계수 결정)

  • Lim, W.K.;Jin, Y.K.;Kang, S.J.
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.234-239
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    • 2001
  • The stress intensity factors have been widely used in numerical studies of crack growth direction. However in many cases, omissive terms of the series expansion are quantitatively significant, so we consider the computation of such terms. For this purpose, we used the finite element method with isometric quadratic quarter-point elements. For examples, infinite square plate with a slant crack subjected to a uniaxial load is analyzed. The numerical analysis were performed for the wide range of crack tip element lengths and inclined angles. The numerical results obtained are compared with the theoretical solutions. Also they were accurate and efficient.

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THE SINGULARITIES FOR BIHARMONIC PROBLEM WITH CORNER SINGULARITIES

  • Woo, Gyungsoo;Kim, Seokchan
    • East Asian mathematical journal
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    • v.36 no.5
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    • pp.583-591
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    • 2020
  • In [8, 9] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with corner singularities, compute the finite element solutions using standard Finite Element Methods and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. The error analysis was given in [5]. In their approaches, the singular functions and the extraction formula which give the stress intensity factor are the basic elements. In this paper we consider the biharmonic problems with the cramped and/or simply supported boundary conditions and get the singular functions and its duals and find properties of them, which are the cornerstones of the approaches of [8, 9, 10].

A Study on Determination of Stress Intensity Factor of Orthotropic Plates Using Crack Tip Singular Element (균열선단 특이요소를 이용한 직교이방성판의 응력확대계수 결정에 관한 연구)

  • 진치섭;최현태;이홍주
    • Proceedings of the Korea Concrete Institute Conference
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    • 1991.10a
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    • pp.124-128
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    • 1991
  • Wood, laminates, reinforced concrete, and some special types of metals systems with controlled grain orientation are often orthotropic and at least rectilinearly anisotropic from point to point, if regarded as homogeneous media. Orthotropic bodies where a crack is not associated with a plane of elastic symmetry may be conveniently treated as a crack problem in a generally anisotropic body. At this work, approach for the determination of the stress intensity factors (SIF) of anisotropic body using crack tip singular elements is presented. Caculated values are in good agreement with the others.

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Sound Intensity를 이용한 건물부재의 차음성능 실험실 측정방법 KS규격 제정안

  • Soo, Jung-Sung;Kook Chan;Kim, Sun-Woo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11a
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    • pp.393.2-393
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    • 2002
  • In this study, the ISO 15186-1 "Measurement of sound insulation in buildings and of building elements using sound intensity - Part 1 Laboratory conditions" was reviewed in order to make it as a new Korean Insustrial Standard. Several main contents are discussed and a new Korean Korean Insustrial Standard is proposed.

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Trefftz Finite Element Method and Cavity Element Formulationfor Plane Elasticity Problems (평면 탄성문제의 트래프츠 유한요소법과 캐비티요소의 구성)

  • Lim, Jangkeun;Song, Kwansup
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.1
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    • pp.163-171
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    • 1996
  • For the effective analysis of two dimensional plane problems, Treffiz finite elements and cavity elements have been proposed. These element matrix equaitons were formulated on the basis of hybrid variational principle and Treffiz function sets derived consitstently from the complex theoy of plane elasticity. In order to suggest the accuracy chatacteristics of the proposed Treffiz elements typical plane problems were analyzed and these results were compared with ones obtained by using the conveintional displacement type elements. The accuracy of the proposed elements is less sensitive to the element size and shape than the conventional displacement type elements. These elements, being able to be formed with multi-nodes, give the convenient modeling of an analytic domain. The cavity elements give the comparatively exact values of stress concentration factors of stress intensity factors and can be effectively used for the analysis of mechanical stuctures containing various cavities.

Measurement of Transmission Loss Using Surface Intensity Method in Building Elements (표면 인텐시티법을 이용한 건물부위의 음향투과손실 측정)

  • Kim, Heung-Sik;Son, Jang-Yeol;O, Jae-Eung
    • The Journal of the Acoustical Society of Korea
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    • v.6 no.3
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    • pp.17-22
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    • 1987
  • This study is to propose more reliable test method in evaluating the sound insulation performance of building element in fields. This method involves the measurements of the incident acoustic intensity and transmitted surface intensity. The incident intensity is determined from measurements of the space averaged sound pressure level in source room. The transmitted surface intensity is measured directly using one microphone and one accelerometer. The results of experiments indicate that this new method makes it possible to give more reliable data than the conventional field test method. The values of trans-mission loss measured by this new method are compared favorably with those obtained using the sound intensity method and theoretical calculation(mass law).

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A Study on the Optimal Exercise Intensity for the Fat Oxidation of Fat Women (비만여성의 지방연소를 위한 최적운동강도에 관한 연구)

  • Choi, Young-Deog;Oh, Kyung-Hwan;Lim, Jong-Soo
    • Journal of Korean Physical Therapy Science
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    • v.8 no.2
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    • pp.1039-1045
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    • 2001
  • The aim of this study is to show the results which we analyse the interrelation among the physiological variable elements. We survey thirty fat women who don't do exercise regularly and are thirties. in order to offer basic data for setting the optimal exercise intensity through the efficient fat oxidation. We use RAMP II protocol of the Ever Green Hospital. The results are followings: 1. When the optimal exercise intensity for fat oxidation is done, there's a meaningful relation among the fat oxidation, $O_2$ max, and respiratory change. 2. When the optimal exercise intensity for fat oxidation is done, there's no meaningful relation statistically in $O_2$ max, heart rate, respiratory change, and caloric rate. 3. When the optimal exercise intensity for fat oxidation is done, there's a meaningful difference among three groups in %$VO_2$ max. However, there's a meaningful difference between group C and group A. B, and there's no meaningful difference between group B and group A.

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An Adaptive Mesh Refinement Scheme for 3D Non-Linear Finite Element Analysis of Magnetostatic Problems (3차원 비선형 정자장 문제의 유한요소 해석을 위한 적응 요소분할 기법)

  • Choi, Yong-Kwon;Seop, Ryu-Jae;Koh, Chang-Seop
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.55 no.6
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    • pp.306-313
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    • 2006
  • A three dimensional adaptive finite element refinement algorithm is developed for non-linear magnetostatic field problems. In the method, the edge elements are used for finite element formulation, and the local error in each element is estimated from the fact that the tangential components of magnetic field intensity and the normal components of magnetic flux density should be continuous at the interface of the two adjacent elements. Based on the estimated error, the elements which have big error are divided into several elements using bisection method. The effectiveness of the developed algorithm is proved through numerical examples.

Development of finite 'crack' element (균열 유한 요소의 개발)

  • 조영삼;전석기;임세영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.381-388
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    • 2004
  • We propose a 2D 'crack' element for the simulation of propagating crack with minimal remeshing. A regular finite element containing the crack tip is replaced with this novel crack element, while the elements which the crack has passed are split into two transition elements. Singular elements can easily be implemented into this crack element to represent the crack-tip singularity without enrichment. Both crack element and transition element proposed in our formulation are mapped from corresponding master elements which are commonly built using the moving least-square (MLS) approximation only in the natural coordinate. In numerical examples, the accuracy of stress intensity factor K/sub I/ is demonstrated and the crack propagation in a plate is simulated.

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Finite 'crack' element method (균열 유한 요소법)

  • Cho, Young-Sam;Jun, Suk-Ky;Im, Se-Young
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.551-556
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    • 2004
  • We propose a 2D 'crack' element for the simulation of propagating crack with minimal remeshing. A regular finite element containing the crack tip is replaced with this novel crack element, while the elements which the crack has passed are split into two transition elements. Singular elements can easily be implemented into this crack element to represent the crack-tip singularity without enrichment. Both crack element and transition element proposed in our formulation are mapped from corresponding master elements which are commonly built using the moving least-square (MLS) approximation only in the natural coordinate. In numerical examples, the accuracy of stress intensity factor $K_I$ is demonstrated and the crack propagation in a plate is simulated.

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