• 제목/요약/키워드: Stress singularity

검색결과 148건 처리시간 0.027초

무요소법(RPIM)을 이용한 구조 요소의 응력해석 (A Stress Analysis of Structural Element Using Meshfree Method(RPIM))

  • 한상을;이상주;주정식
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.495-500
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    • 2007
  • A Meshfree is a method used to establish algebraic equations of system for the whole problem domain without the use of a predefined mesh for the domain discretization. A point interpolation method is based on combining radial and polynomial basis functions. Involvement of radial basis functions overcomes possible singularity. Furthermore, the interpolation function passes through all scattered points in an influence domain and thus shape functions are of delta function property. This makes the implementation of essential boundary conditions much easier than the meshfree methods based on the moving least-squares approximation. This study aims to investigate a stress analysis of structural element between a meshfree method and the finite element method. Examples on cantilever type plate and stress concentration problems show that the accuracy and convergence rate of the meshfree methods are high.

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반도체 칩 접착계면의 모서리 균열에 대한 경계요소 해석 (Boundary Element Analysis for Edge Cracks at the Bonding Interface of Semiconductor Chip)

  • 이상순
    • 마이크로전자및패키징학회지
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    • 제8권3호
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    • pp.25-30
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    • 2001
  • 반도체 칩과 얇은 접착제충의 계면에 존재하는 모서리 균열에 횡방향 인장변형률이 작용하는 경우에 대해 응력확대계수를 조사하고 있다. 이러한 균열들은 자유 경계면 부근에 존재하는 응력 특이성으로 인해 발생할 수 있다. 계면 응력상태를 해석하기 위해서 경계요소법이 사용되고 있다. 복합 응력확대계수의 크기는 균열의 크기에 의존하지만, 균열이 커지면 일정한 값에 수렴한다. 횡방향 인장변형률이 임계값에 도달하면, 계면 균열은 빠르게 전파되리라고 예상된다.

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유사등방성 이종재료 내의 V-노치 균열에 대한 고유치와 고유벡터 해석 (An Analysis of Eigenvalues and Eigenvectors for V-notched Cracks in Pseudo-isotropic Dissimilar Materials)

  • 김진광;조상봉
    • 한국정밀공학회지
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    • 제17권11호
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    • pp.129-139
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    • 2000
  • The problem of eigenvalue and eigenvector is obtained from a V-notched crack in pseudo-isotropic dissimilar materials by the traction free boundary and the perfect bonded interface conditions. The complex stress function is assumed as the two-term William's type. The eigenvalue is solved by a commercial numerical program, MATHEMATICA to discuss stress singularities for V-notched cracks in pseudo-isotropic dissimilar materials. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination to eigenvector coefficients associated with eigenvalues. The RWCIM algorithm is also coded by the MATHEMATICA.

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Interlaminar stresses and delamination of composite laminates under extension and bending

  • Nguyen, Tien Duong;Nguyen, Dang Hung
    • Structural Engineering and Mechanics
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    • 제25권6호
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    • pp.733-751
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    • 2007
  • The metis element method (Hung 1978) has been applied to analyse free edge interlaminar stresses and delamination in composite laminates, which are subjected to extension and bending. The paper recalls Lekhnitskii's solution for generalized plane strain state of composite laminate and Wang's singular solution for determination of stress singularity order and of eigen coefficients $C_m$ for delamination problem. Then the formulae of metis displacement finite element in two-dimensional problem are established. Computation of the stress intensity factors and the energy release rates are presented in details. The energy release rate, G, is computed by Irwin's virtual crack technique using metis elements. Finally, results of interlaminar stresses, the three stress intensity factors and the energy release rates for delamination crack in composite laminates under extension and bending are illustrated and compared with the literature to demonstrate the efficiency of the present method.

등가구조응력법을 이용한 철도차량 용접대차프레임의 피로해석 (Fatigue Analysis of Welding Bogie Frames for Rolling Stocks Using The equilibrium-equivalent structural stress method)

  • 김철수;안승호;정광우;전영석;박춘수;김상수;장천수
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2010년도 춘계학술대회 논문집
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    • pp.1243-1248
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    • 2010
  • Fatigue design and evaluation of welded joints are typically carried out by weld classification approach in which a family (theoretically infinite) of parallel nominal stress based S-N curves are used according to joint types and loading modes as well as extrapolation-based hot spot stress. Traditional finite element methods are not capable of consistently capturing the stress concentration effects on fatigue behavior due to their mesh-sensitivity in stress determination at welds resulted from notch stress singularity. The extrapolated hot spot stresses tend vary, depending on the element sizes, types, joint types, and loading mode. however, the equilibrium-equivalent structural stress method(E2S2) has been recently developed through several joint industry projects as a robust method to analyze welded components using finite element analysis. This method has been proven effective in correlating a large amount of published fatigue test results in the literature such as master S-N curve and has used for evaluating the fatigue life of welding components. In this study, fatigue analysis of the welding bogie frame is examined using E2S2 method with master S-N curve.

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Analysis of Three Dimensional Crack Growth by Using the Symmetric Galerkin Boundary Element Method

  • Kim, Tae-Soon;Park, Jai-Hak
    • International Journal of Safety
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    • 제2권1호
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    • pp.17-22
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    • 2003
  • In order to analyze general three dimensional cracks in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear is used. A crack is modelled as distribution of displacement discontinuities, and the governing equation is formulated as singularity-reduced integral equations. With the proposed method several example problems for three dimensional cracks in an infinite solid, as well as their growth under fatigue, are solved and the accuracy and efficiency of the method are demonstrated.

경계요소법을 이용한 계면균열의 응력특이성에 관한 고찰 (Study on the Stress Singularity of Interface Crack by using Boundary Element Method)

  • 조종두;곽시형
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.837-842
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    • 1994
  • The boundary element method was used for studying singularities of an interface crack with contact zones. Because the contact zone size was extremely small in a tention field, a large number of Gaussian points were is used for numerical integration of the Kernels. In order to estimate the contact zone size, iteration method was used. The interface crack tips with contact zones showed no oscillatory behavior and J-integral values across the interface were conserved.

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온도변화로 인해 고분자 박막에 발생하는 열응력 해석 (Analysis of Thermal Stresses Induced in Polymeric Thin Layer Due to Temperature Change)

  • 이상순
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.146-152
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    • 2002
  • In this study, the singular thermal stresses induced during cooling down from high temperature to room temperature have been analyzed for the viscoelastic thin layer. The time domain boundary element method has been employed to investigate the behavor of stresses for the whole interface. Within the context of a linear viscoelastic theory, a stress singularity exists at the point where the interface between the elastic substrate and the viscoelastic thin layer intersects the free surface.

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언더필/칩 계면의 응력 해석 (Analysis of Stresses Along the Underfill/chip Interface)

  • Park, Ji-Eun;Iwona Jasiuk;Lee, Ho-Young
    • 마이크로전자및패키징학회지
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    • 제9권4호
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    • pp.35-45
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    • 2002
  • 열하중에 의한 언더필/칩 계면의 응력을 유한요소법을 이용하여 구하였다. 먼저 실리카 입자의 부피 분율이 언더필 재료의 물성에 미치는 영향을 알아보기 위하여 세 가지 재료 세트에 대하여 실리카 입자의 부피 분율에 따른 영계수, 포아슨비, 영팽창 계수를 Mori-Tanaka방법을 이용하여 계산하였고, 언더필과 칩이 형성하는 edge및 wedge에 대한 singularity를 계산하였다. 그 다음에는 앞에서 계산한 재료물성치를 가지고 실리카 입자의 부피 분율에 따른 언더필/칩 계면의 응력을 몇 가지 플립칩 형상에 대하여 살펴보았다. 언더필이 균일한 재료라는 가정과 플립칩 어셈블리를 구성하고 있는 재료들이 선형탄 성적거동을 하고 등방성을 보이며 그들의 성질이 온도에 무관하다는 가정 하에 다섯 가지의 플립칩 어셈블리 모델이 고려되었다.

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화상처리법을 이용한 A533B강의 진전균열특이장 평가 (Evaluationof Growing Crack-Tip Singularity in A533B Steel by Image Processing Technique)

  • 표창률;김영진
    • 대한기계학회논문집A
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    • 제21권1호
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    • pp.124-132
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    • 1997
  • This paper describes an experimental and numerical study on growing ductile crack-tip behaviors. The hybrid experimental and numerical method by means of a computer image processign technique, was applied to the analysis of both base metal and weld metal CT specimens. In the weld metal specimen, the initial crack-tip was placed in front of fusion line, and the crack orientation was perpendicular to it. Finite element analysis of crack growth behaviors in both base and weld matal specimens made of A533B Class 1 steel were also performed to examine the effects of weldment on near crack-tip fields. a series of experimental studies on crack-tip behaviors have clearly shown the qualitative effects of material properties, especially a hardening exponent. The experimental and numerical results have also shown that weldment does not affect displacement and strain fields near a crack-tip while a stress field is influenced by the difference between yield stresses of both base and weld metals.