• Title/Summary/Keyword: Stress Method

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Analyses of Fracture Parameters and Prediction of Crack Propagation Path on Delamination in the LSI Package (반도체 패키지의 층간박리 파괴역학인자 해석 및 균열진전경로 예측)

  • Chung, Nam-Yong;Park, Cheol-Hee
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.18 no.4
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    • pp.401-409
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    • 2009
  • This paper presents a method of calculating the stress intensity factor (K) and crack propagation direction (${\theta}_0$) at the crack-tip that is associated with delamination in the large scale integration(LSI) package. To establish a reasonable strength evaluation method and life prediction, it is necessary to assess fracture parameters under various fracture conditions. Therefore, we conducted quantitative stress singularity analysis considering thermal stress simulating the changes of crack length (a), (h) and (v) in delamination using the 2-dimensional elastic boundary element method (BEM), and from these results predicted crack propagation direction and path.

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Establishment of Fracture Criterion on Friction Welded Dissimilar Materials (이종 마찰용접재의 파괴기준 설정)

  • Chung, Nam-Yong;Park, Cheol-Hee
    • Transactions of the Korean Society of Automotive Engineers
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    • v.14 no.5
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    • pp.164-171
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    • 2006
  • Application of friction welding is increasing in the manufacturing process of machine elements in many industry fields. To establish a reasonable strength evaluation method and fracture criterion, it is necessary to analyze stress singularity under the residual stress condition on friction welded interface between dissimilar materials. In this paper, a method to establish fracture criterion on interface of friction welded dissimiliar materials was investigated by using the boundary element method BEM and static tensile testing. A quantitative fracture criterion for friction welded dissimilar materials is suggested by using stress singularity factor, $\Gamma$.

Analysis of Stress Intensity Factor Using Boundary Element Method (경계요소법을 이용한 응력세기계수의 해석법)

  • 조희찬;김희송
    • Transactions of the Korean Society of Automotive Engineers
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    • v.1 no.2
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    • pp.117-124
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    • 1993
  • This study is concerned with an application of the boundary element method on the crack problem. The stable and efficient analysis method of two dimensional elastostatic stress intensity factor on the mode I deformations is established from the result o stress analysis for the center cracked plates. In order to precisely analyse, The subelements of quadratic element, singular elements on the crack tip and interface and division into regions are applied to elastic stress. The usefulness of the method has been tested with a center cracked plates, a double edge cracked plate and a single edge cracked plate, and the results have turned out to be fairly satisfactory.

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Stress analysis with arbitrary body force by triple-reciprocity BEM

  • Ochiai, Y.;Kobayashi, T.
    • Structural Engineering and Mechanics
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    • v.10 no.4
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    • pp.393-404
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    • 2000
  • Linear stress analysis without body force can be easily solved by means of the boundary element method. Some cases of linear stress analysis with body force can also be solved without a domain integral. However, domain integrals are generally necessary to solve the linear stress problem with arbitrary body forces. This paper shows that the linear stress problem with arbitrary body forces can be solved approximately without a domain integral by the triple-reciprocity boundary element method. In this method, the distribution of arbitrary body forces can be interpolated by the integral equation. A new computer program is developed and applied to several problems.

Computation of mixed-mode stress intensity factors in functionally graded materials by natural element method

  • Cho, J.R.
    • Steel and Composite Structures
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    • v.31 no.1
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    • pp.43-51
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    • 2019
  • This paper is concerned with the numerical calculation of mixed-mode stress intensity factors (SIFs) of 2-D isotropic functionally graded materials (FGMs) by the natural element method (more exactly, Petrov-Galerkin NEM). The spatial variation of elastic modulus in non-homogeneous FGMs is reflected into the modified interaction integral ${\tilde{M}}^{(1,2)}$. The local NEM grid near the crack tip is refined, and the directly approximated strain and stress fields by PG-NEM are enhanced and smoothened by the patch recovery technique. Two numerical examples with the exponentially varying elastic modulus are taken to illustrate the proposed method. The mixed-mode SIFs are parametrically computed with respect to the exponent index in the elastic modulus and external loading and the crack angle and compared with the other reported results. It has been justified from the numerical results that the present method successfully and accurately calculates the mixed-mode stress intensity factors of 2-D non-homogeneous functionally graded materials.

Elastic-plastic Contact Stress Analysis of CRT Glass Bulb (CRT 글래스 벌브의 탄소성 접촉 응력 해석)

  • Kang, Dae Jin;Shin, Woon Seo;Song, Chang Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.2
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    • pp.145-151
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    • 1997
  • In this paper, we discuss the cathode ray tube(CRT) glass bulb stress and sagging recovery by the contact band pressure using finite element method. We analyzed the band pressure and stress using contact element method between band and bulb before and after banding process which was conducted to decrease the stress concentration using finite element method, and calculated sagging recovery. The analysis results were confirmed by experiments using strain gauge and sagging recovery test apparatus.

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A Study on the Behavior of Elastic Stress Distribution in Front Fillet Welds by Finite Element Method (Front Fillet Welds에서의 탄성응력(彈性應力)의 거동(擧動)에 관(關)한 연구(硏究))

  • Dong-Suk,Um
    • Bulletin of the Society of Naval Architects of Korea
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    • v.12 no.2
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    • pp.35-42
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    • 1975
  • This paper investigates the distribution of stress and its behavior at the Root Toe in fillet welding joint. Furthermore, the stress components and principal stresses in the fillet welds are calculated by the finite element method. The distribution of stresses obtained numerically by means of the finite element method is also compared with the experimental results of two dimensional photoelasticity. A Cover plate type and Center block type of fillet welds are used as models for the numerical calculations covering the variations of 2 W/M(thickness of main plate/thickness of cover plate)=1 through 2W/M=4. The results obtained in these studies are summarized as follows; 1) When W2/M values become small, the stress concentration factors of the Root are larger than of the Toe in a C-type. Its critical value is 2W/M=3.00. However, no critical value exists in a T-type. 2) For 2W/M Values being avove 3.5 in a C-type and above 4.0 in a T-type, $K_R$ and $K_{\tau}$ become 1. 3) According to the differences of 2W/M values, the differences in stress become increasing in the Root but become decreasing in the Toe. These differences, however, disappear as the free boundary surface is approached. 4) The stress concentration factors of both the Root and Toe obtained by means of the finite element method have somewhat lower values than obtained by the photoelasiticity. But their principal stress directions coincide in either method. 5) It proves beneficial to employ the finite element method for two-dimensional plane stress analysis in front fillet welding joint.

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Stress Analysis of a Curved Beam Plate by using Photoelastic Fringe Phase Shifing Technique (광탄성 프린지 위상 이동법을 이용한 곡선보평판의 응력 해석)

  • Baek, Tae-Hyeon;Kim, Myeong-Su;Kim, Su-Il
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.9 s.180
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    • pp.2313-2318
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    • 2000
  • The method of photoelasticity allows one to obtain principal stress differences and principal stress directions in a photoelastic model. In the classical approach, the photoelastic parameters are measured manually point by point. This is time consuming and requires skill in the identification and measurement of photoelastic data. Fringe phase shifting method has been recently developed and widely used to measure and analyze fringe data in photo-mechanics. This paper presents the test results of photoelastic fringe phase shifting method for the stress analysis of a curved beam plate. The technique used here requires four phase stepped photoelastic images obtained from a circular polariscope by rotating the analyzer at 0˚, 45˚, 90˚ and 135˚. Experimental results are compared with those of ANSYS and calculated by the simple beam theory. Good agreement among the results can be observed.

An Experimental Method for the Evaluation of Dead Load Stress in Existing Concrete Bridges (콘크리트 교량의 고정하중 응력에 관한 실험적 측정방법)

  • Park, Dae Sung;Kim, Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4A
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    • pp.701-706
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    • 2006
  • This paper describes an attempt to develop a practical method for the measurement of dead load stress in existing concrete bridges. In most cases, the dead load stress was determined by various theoretical calculations. However, the theoretical calculation cannot always provide a sufficient information on the current stress state due to lots of uncertainty. The key idea incorporated with this paper is the partial sectioning method which is able to estimate current stress state in concrete bridges subjected to dead load. The proposed method is applied to the safety assessment of actual concrete bridges and the applicability of this system is investigated.

The Effect of Shot Peening on the Bending Strength of Carburized Spur Gear Teeth Based on Fracture Mechanics (파괴역학을 기초로 한 침탄치차의 굽힘강도에 미치는 쇼트피닝(Shot Peening)의 효과에 관한 연구)

  • S.K.Lyu
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.5
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    • pp.512-521
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    • 1997
  • This paper deals with an evaluation of the residual stress due to shot peening induced in a car¬burized gear tooth and its application to the fatigue crack propagation problem. The residual stress is estimated based on the assumption that the main cause of residual stress is the volume difference between the case and core due to martensitic transformation in cooling, and the influ¬ence of both the reduction of retained austenite and the strain in the surface layer induced by shot peening are considered. The reliability of the method is examined by comparison with stresses measured by the X-ray diffraction method. The stresses intensity factors are computed by the influence function method and the reduction of the factor due to the residual stress is demonstrat¬ed and discussed based on the fracture mechanics.

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