• Title/Summary/Keyword: Singularity Analysis

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

  • 이상순
    • Journal of the Microelectronics and Packaging Society
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    • v.8 no.3
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    • pp.25-30
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    • 2001
  • The stress intensity factors for edge cracks located at the bonding interface between the semiconductor chip and the adhesive layer subjected to a uniform transverse tensile strain are investigated. Such cracks might be generated due to a stress singularity in the vicinity of the free surface. The boundary element method (BEM) is employed to investigate the behavior of interface stresses. The amplitude of complex stress intensity factor depends on the crack length, but it has a constant value at large crack lengths. The rapid propagation of interface crack is expected if the transverse tensile strain reaches a critical value.

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The New Load Flow Algorithm using Optimal Programming (최적화기법을 이용한 새로운 조류계산 알고리즘)

  • Jeon, Dong-Hoon;Kim, Kern-Joong;Choi, Jang-Hum;Eom, Jae-Sun;Huh, Hyung;Rhee, Byoung-Ill
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.11
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    • pp.542-548
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    • 2000
  • In this paper, we proposed a new load flow analysis algorithm. In order to develop it, we converted typical power flow problem into optimal problem. This problem has the objective function that minimize the difference between calculated values and specified values of bus powers and subject to bus power equations of P and Q. Using it, we solved the divergence by singularity of Jacobian matrix, the divergence by initial value in the typical power flow study. In the study of a sample system, we verified the superiority of proposed algorithm.

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Performance Analysis of Quaternion-based Least-squares Methods for GPS Attitude Estimation (GPS 자세각 추정을 위한 쿼터니언 기반 최소자승기법의 성능평가)

  • Won, Jong-Hoon;Kim, Hyung-Cheol;Ko, Sun-Jun;Lee, Ja-Sung
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2092-2095
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    • 2001
  • In this paper, the performance of a new alternative form of three-axis attitude estimation algorithm for a rigid body is evaluated via simulation for the situation where the observed vectors are the estimated baselines of a GPS antenna array. This method is derived based on a simple iterative nonlinear least-squares with four elements of quaternion parameter. The representation of quaternion parameters for three-axis attitude of a rigid body is free from singularity problem. The performance of the proposed algorithm is compared with other eight existing methods, such as, Transformation Method (TM), Vector Observation Method (VOM), TRIAD algorithm, two versions of QUaternion ESTimator (QUEST), Singular Value Decomposition (SVD) method, Fast Optimal Attitude Matrix (FOAM), Slower Optimal Matrix Algorithm (SOMA).

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Performance Analysis of Singularity-Free 3-DOF Parallel Haptic Device with Redundanct Acutation (여유구동을 지닌 무특이점 병렬형 3 자유도 햅틱기구의 성능행석)

  • Kim, Tae-Joo;Chung, Goo-Bong;Lee, Jae-Hoon;Yi, Byung-Ju;Suh, Il-Hong
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2396-2398
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    • 2003
  • 세 개의 체인으로 구성된 병렬형 3 자유도 기구는 특이점을 지님으로 인하여 햅틱기구로 활용시 불특정한 힘반영으로 인해 제한요소가 발생한다. 본 논문은 여유구동을 활용함으로써 특이점을 해소하고, 힘반영의 크기를 증가시킴으로써 햅틱기구의 성능을 향상시키는 것을 목적으로 한다. 또한 여유구동 모터를 베이스에 부착함으로써 관성력을 최소화 시키고, 와이어와 기어비를 활용하여 부드럽고 큰 힘반영 능력을 가능케 했으며, 시뮬레이션을 통해 힘반영 성능을 확인하였다.

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An Analysis of Eigenvector Coefficient for V-notched Cracks in Pseudo-isotropic and Anisotropic Dissimilar Materials (유사등방성과 이방성 이종재 V-노치 균열의 고유벡터계수 해석)

  • Kim, Jin-Gwang;Jo, Sang-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.12
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    • pp.88-94
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    • 2001
  • The V-notched crack problem in dissimilar materials can be formulated as an eigenvalue problem. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination of the eigenvector coefficients associated with eigenvalues for V-notched cracks in pseudo-isotropic and anisotropic dissimilar materials. The RWCIM algorithm is programed by the commercial numerical program, MATHEMATICA. The numerical results obtained are shown that the RWCIM is a useful method for determining the eigenvector coefficients of V-notched cracks in pseudo-isotropic and anisotropic dissimilar materials.

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Precision Shape Modeling by Z-Map Model (Z-map 모델을 이용한 정밀형상 모델링)

  • 박정환;정연찬;최병규
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.11
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    • pp.180-188
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    • 1998
  • Z-map is a special form of discrete nonparametric representation in which the height values at grid points on the xy-plane are stored as a 2D array z[i.j]. While z-map is the simplest form of representing sculptured surfaces and it is the most versatile scheme for modeling nonparametric objects, its practical application in industry (eg, tool-path generation) aroused much controversy over its weaknesses ; accuracy, singularity (eg, vertical wall), and some excessive storage needs. Although z-map has such limitations, much research on the application of z-map can be found in various articles. However, research on the systematic analysis of sculptured surface shape representation via z-map model is rather rare. Presented in this paper are the following: shape modeling power of the simple z-map model, exact (within tolerance) B-map representation of sculptured surfaces which have some feature-shapes such as vertical-walls and real sharp-edges by adopting some complementary B-map models, and some application examples.

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

  • Kim, Jin-Gwang;Jo, Sang-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.11
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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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Analysis of Creep Crack Growth at High-Temperature Components by Diffusive Growth Model of Grain Boundary Cavities (I)-Effect of Grain Boundary Cavitation on Stress Field and Crack Growth Rate- (입계기공의 확산성장 모델을 이용한 고온기기의 크립균열전파해석(1)-응력장 및 균열전파속도에 미치는 입계기공의 영향-)

  • Jeon, Jae-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.4
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    • pp.1177-1185
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    • 1996
  • The crack growth under creep condition is one of the major damage mechanisms which determines remaining life of the component operating at high temperatures. In this paper, the creep crack growth by grain boundary cavitation is studied, which is frequently observed failure mechanism for creep brittle materials. As a result of diffusive growth of creep cavities, it is shown that the crack-tip stress field is modified from the original stress distribution by the amount of singularity attenuation parameter which is function of crack growth rate and material properties. Also, the stress relaxation at crack-tip results in the extension of cavitating area by the load dump effect to meet the macroscopic force equilibrium conditdion.

Free Vibration Analysis of Axisymmetrical Circular Plate by Using Differential Transformation Method (미분변환법을 이용한 축대칭 원판의 자유 진동 해석)

  • Shin, Young-Jae;Yun, Jong-Hak;Jy, Young-Chel;Kim, Jun-Nyen;Ferdinand, T.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.604-607
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    • 2005
  • The free vibration of solid circular plates has been studied using the differential transformation method(DTM). The effects such as mass at edge and elastic restraints have been considered. In order to avoid the singularity problem at the solid circular center two regularity conditions were applied with respect to the number of circumferential nodal line. The non-dimensional natural frequencies of the general circular plates were obtained for various boundary conditions. The results obtained by this method were compared with previous works. DTM showed fast convergency, accuracy, efficiency and validity in solving vibration problem of general circular plates.

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Estimation of a mixed-mode cohesive law for an interface crack between dissimilar materials

  • Song, Sung-Il;Kim, Kwang-Soo;Kim, Hyun-Gyu
    • Multiscale and Multiphysics Mechanics
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    • v.1 no.1
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    • pp.35-51
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    • 2016
  • In this paper, a mixed-mode cohesive law for an interface crack between epoxy and TR (transparent thermoplastic) resin is inversely estimated by the field projection method using numerical solutions and experimentally measured displacements. Displacements in a region far away from the crack tip are measured by digital image correlation technique. An inverse analysis, the field projection method formulated from the interaction J- and M-integrals with numerical auxiliary fields, is carried out to estimate a mixed-mode cohesive law for an interface crack between dissimilar materials. In the present approach, nonlinear deformations and damage near the crack tip are converted into the relationships of tractions and separations on crack surfaces behind the crack tip. The phase angle of mixed-mode singularities of the interface crack is also obtained from measured displacements in this study.