• Title/Summary/Keyword: stress singularity

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Stress Analysis of Bonding Interface in the Dissimilar Friction Welded Joints (STS304와 Sl5C 이종마찰압접부의 접합계면 응력해석)

  • 오정국;차용순;성백섭;박창언;김하식;김충환
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.3
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    • pp.65-71
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    • 2002
  • Friction welding has may merits such as energy efficiency, simple processing, etc. but it is difficult to obtain good welding at the welded interfaces and heat affected zone. It is discovered that stress singularity exists at the interferes and heat affected zone. The computer program based on boundary element method is utilized in this study. A mathematical model is implemented based on results from several experiments performed at and around the welded interfaces and heat affected zone of disimilar metals under static and dynamic loadings. This stay is to investigate the characteristics of the deformation and fracture behavior around interfaces for friction welded materials under static tensile load. Also, the stress distribution at the tip of crack is analyzed by using BU based on Kelvin's solution of 2-dimensional binding zone. The results of BEM are identical with those in case of considering interfaces of both heat affected zone. Also, stress singularity at the tip of interfaces appears when the elastic modulus ratio is 1.07.

Prediction of premature separation of bonded CFRP plates from strengthened steel beams using a fracture criterion

  • Lenwari, A.;Thepchatri, T.;Watanabe, E.
    • Structural Engineering and Mechanics
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    • v.14 no.5
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    • pp.565-574
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    • 2002
  • This paper presents a method for predicting premature separation of carbon fiber reinforced plastic (CFRP) plates from strengthened steel beams. The fracture criterion based on material-induced singularity is formulated in terms of a singular intensity factor. Static test on double strap joints was selected to provide the critical stress intensity factor in the criterion because good degree of accuracy and consistency of experimental data can be expected compared with the unsymmetrically loaded single lap joints. The debond/separation loads of steel beams with different CFRP lengths were measured and compared with those predicted from the criterion. Good agreement between the test results and the prediction was found.

Analysis of Singular Stresses at the Bonding Interface of Semiconductor Chip Subjected to Shear Loading (전단하중하의 반도체 칩 접착계면의 특이응력 해석)

  • 이상순
    • Journal of the Microelectronics and Packaging Society
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    • v.7 no.4
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    • pp.31-35
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    • 2000
  • The stress state developed in a thin adhesive layer bonded between the semiconductor chip and the leadframe and subjected to a shear loading is investigated. The boundary element method (BEM) is employed to investigate the behavior of interface stresses. Within the context of a linear elastic theory, a stress singularity of type $\gamma^{\lambda=1}$(0<1<1) exists at the point where the interface between one of the rigid adherends and the adhesive layer intersects the free surface. Such singularity might lead to edge crack or delamination.

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A Study on Dynamic Crack-Tip Fields in a Strain Softening Material

  • Jang, Seok-Ki;Xiankui Zhu
    • Journal of Advanced Marine Engineering and Technology
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    • v.27 no.4
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    • pp.494-502
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    • 2003
  • The near-tip field of mode-I dynamic cracks steadily propagating in a strain softening material is investigated under plane strain conditions. The material is assumed to be incompressible and its deformation obeys the $J_2$ flow theory of plasticity. A power-law stress-strain relation with strain softening is adopted to account for the damage behavior of materials near the dynamic crack tip. By assuming that the stresses and strain have the same singularity at the crack tip. this paper obtains a fully continuous dynamic crack-tip field in the damage region. Results show that the stress and strain components the same logarithmic singularity of (In(R/r))$\delta$, and the angular variations of filed quantities are identical to those corresponding to the dynamic cracks in the elastic-perfectly plastic material.

Analysis of Residual Stresses Induced during Adhesion Process of Chip and Leadframe (칩과 리드페임의 접착과정에서 발생하는 잔류 응력 해석)

  • 이상순
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.1
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    • pp.97-103
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    • 2000
  • This paper deals with residual stresses induced at the viscoelastic adhesive layer between the semiconductor chip and the leadframe during adhesion process. The adhesive layer has been assumed to be“thermorheologically simple”. The time-domain boundary element method(BEM) has been employed to investigate the behavior of interface stresses. Numerical results show that very large stress gradients are present at the interface corner and such singularity might lead to local yielding or edge delamination.

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A Study on Logarithmic Stress Singularities for V-notched Cracks in Isotropic Dissimilar Materials (등방성 이종재료 내의 V-노치 균열에 대한 대수 응력특이성에 관한 연구)

  • 김우진;김진광;조상봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.747-750
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    • 1997
  • Using complex potentials and the concept of repeated roots for general solutions, logarithmic stress singularities and coefficient vectors for v-notched cracks in isotropic dissimilar materials are evaluated and demonstrated to have no influence on the logarithmic stress singularities.

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An Analysis of Stress Intensity Factors of Composite Materials by Boundary Element Method (BEM) (경계요소법(BEM)에 의한 복합재료의 응력확대계수 해석)

  • 이갑래;조상봉;최용식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.179-189
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    • 1991
  • Composite materials are generally treated as anisotropic or an orthotropic materials. Unlike isotropic materials, the orthotropic materials can divided three groups depending upon the relationship of the four material constants or depending upon the characteristic roots of orthotropic materials. In particular, the fundamental solutions of two dimensional BEM for composite materials (orthotropic or anisotropic material) generally have a singularity in the conventional method when the characteristic roots are equal. In consideration of this singularity in the conventional method when the characteristic roots are equal. In consideration of this singular problems, in this paper, the fundamental solutions of BEM are systematically analysed for orthotropic materials. And the stress and displacement fields for a crack in an orthotropic materials are singular when the characteristic roots of orthotropic materials are equal. Therefore, these fields for a crack in an orthotropic materials are analysed by the analogous method to isotropic materials when the characteristic roots are equal.

Fracture Analysis of Spot-Welds with Edge Cracks using 2-D Hybrid Special Finite Element (이차원 하이브리드 요소를 이용한 균열을 내포하는 용접점의 유한요소 파단해석)

  • Song J. H.;Yang C. H.;Huh H.;Kim H. G.;Park S. H.
    • Transactions of Materials Processing
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    • v.13 no.6 s.70
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    • pp.484-489
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    • 2004
  • This paper employed a systematic analysis using a 2-D hybrid special finite element containing an edge crack in order to describe the fracture behavior of spot-welds in automotive structures. The 2-D hybrid special finite element is derived form a mixed formulation with a complex potential function with the description of the singularity of a stress field. The hybrid special finite element containing an edge crack can give a better description of its singularity with only one hybrid element surrounding one crack. The advantage of this special element is that it can greatly simplify the numerical modeling of the spot welds. Some numerical examples demonstrate the validity and versatility of the present analysis method. The lap-shear, lap-tension and angle-clip specimens are analyzed and some useful fracture parameters such as the stress intensity factor and the initial direction of crack growth are obtained simultaneously.

A Study on the Crack Tip Plastic Region for Stable Crack Growth -304 Stainless Steel- (안정군열성장에 대한 군열선단 소성역에 관한 연구 -304 스테인리스 강-)

  • 황갑운
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.6
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    • pp.1183-1192
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    • 1989
  • 본 논문에서는 평면변형률 상태하에서 안정하게 성장하는 균열선단에 집중 되어있는 강소성역의 해석에 역점을 두어 재결정법과 탄.소성유한요소법을 도입하여 안정 성장균열 선단에 형성되는 균열 성장저항에 직접적인 영향을 미치고 있는 소성 역의 크기나 형태에 대한 실험 및 해석을 하였다.

Boundary element analysis of singular thermal stresses in a unidirectional laminate

  • Lee, Sang Soon;Kim, Beom Shig
    • Structural Engineering and Mechanics
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    • v.5 no.6
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    • pp.705-713
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    • 1997
  • The residual thermal stresses at the interface corner between the elastic fiber and the viscoelastic matrix of a two-dimensional unidirectional laminate due to cooling from cure temperature down to room temperature were studied. The matrix material was assumed to be thermorheologically simple. The time-domain boundary element method was employed to investigate the nature of stresses on the interface. Numerical results show that very large stress gradients are present at the interface corner and this stress singularity might lead to local yielding or fiber-matrix debonding.