• Title/Summary/Keyword: Relative Deformation

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Theoretical analysis and Phase Error Analysis of the Shearographic System for the Deformation Evaluation of Semiconductor Equipment (반도체 장비의 변형 진단을 위한 shearographic system의 이론적 고찰 및 위상오차해석)

  • Kim, Soo-Gil;Hong, Sun-Ki
    • Journal of the Semiconductor & Display Technology
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    • v.4 no.1 s.10
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    • pp.17-21
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    • 2005
  • We presented a new method to obtain four speckle interferograms with relative phase shift of $\pi$/2 by passive devices such as waveplate and polarizer, calculate the phase at each point of the speckle interferogram in shearography using Wollaston prism, which can be applied to the deformation evaluation of semiconductor devices, and theoretically demonstrated the feasibility of the proposed method by Jones matrix.

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Analysis of CFRD(Concrete Faced Rockfill Dam) Constructed by Stages (단계축조에 의해 시공된 CFRD의 거동해석)

  • Cho, Sung-Eun;Shin, Dong-Hoon;Jeon, Je-Sung;Kim, Ki-Young
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.583-588
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    • 2005
  • In this study, a concrete faced rockfill dam constructed by stages was numerically analyzed, and the numerical results were compared with in situ measurements. The simple incremental elastic and isotropic hyperbolic model was employed to characterize the nonlinear deformation behavior of rockfill material and computational procedure followed construction sequence. A series of large triaxial tests for rockfill material were carried out to obtain mechanical input parameters. According to the analysis results, relative great additional deformation was introduced at the surface of stage-I dam body due to the loading by stage-II construction. The results reveal that numerical analysis can effectively simulate the construction processes, and some meaningful insights about the behavior of CFRD during construction were gained.

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Evaluation of Thermal Deformation Model for BGA Packages Using Moire Interferometry

  • Joo, Jinwon;Cho, Seungmin
    • Journal of Mechanical Science and Technology
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    • v.18 no.2
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    • pp.230-239
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    • 2004
  • A compact model approach of a network of spring elements for elastic loading is presented for the thermal deformation analysis of BGA package assembly. High-sensitivity moire interferometry is applied to evaluate and calibrated the model quantitatively. Two ball grid array (BGA) package assemblies are employed for moire experiments. For a package assembly with a small global bending, the spring model can predict the boundary conditions of the critical solder ball excellently well. For a package assembly with a large global bending, however, the relative displacements determined by spring model agree well with that by experiment after accounting for the rigid-body rotation. The shear strain results of the FEM with the input from the calibrated compact spring model agree reasonably well with the experimental data. The results imply that the combined approach of the compact spring model and the local FE analysis is an effective way to predict strains and stresses and to determine solder damage of the critical solder ball.

Stress Fields and Deformation Caused by Sliding Indentaion of Brittle Materials (압자와의 미끄럼 접촉에 의한 취성재료의 응력분포 및 변형에 관한 연구)

  • 안유민
    • Tribology and Lubricants
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    • v.10 no.3
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    • pp.62-70
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    • 1994
  • An analytical model of the stress field caused by sliding indentation of brittle materials is developed. The complete stress field is treated as the superposition of applied normal and tangential forces with a sliding blister approximation of the localized inelastic deformation occuring just underneath the indenter. It is shown that lateral cracking is produced by the sliding blister stress field and that median cracking is caused by the applied contact forces. The model is combined with an experimental volume change measurements to show that the relative magnitude of tensile stresses governing lateral crack and median crack growth varies with the magnitude of the applied load. This prediction is consistent with the different regimes of experimentally observed cracking in soda-lime glass.

Development of a Mechanical Crack Model to Analyze Deformation and Failure Mechanism of Rock (암석의 변형 및 파괴거동의 해석을 위한 균열모형 개발에 관한 연구)

    • Tunnel and Underground Space
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    • v.8 no.2
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    • pp.96-106
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    • 1998
  • Rock contains discontinuities at all scales. These discontinuities make rock behave in a complex way. This paper discusses a new approach to underground design based on the theory of rock fracture mechanics. The mechanism of deformation and failure of coal was studied by observing the distributions of length, orientation and spacing of the pre-existing as well as stress-induced cracks. Different types of crack information. The crack information is dependent on the scale used. The cracks propagate along the intersections of the pre-existing cracks, and both extensile and shear crack growth occur depending on the direction of the load relative to the bedding planes. An analytical model that takes into account both shear and extensile crack growth was developed to predict the nonlinear stress-strain behavior of coal including strain-hardening and strain-softening.

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Orientational deformation of ferroelectric liquid crystal molecules by bending performance of plastic substrate

  • Son, Ock-Soo;Lee, Ji-Hoon;Jang, Chi-Woong;Lim, Tong-Kun
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07a
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    • pp.338-341
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    • 2005
  • We have examined the aspects of the orientational ordering deformation of ferroelectric liquid crystal during bending performance of plastic substrate by analyzing the polarizing optical microscope texture and the birefringence of the cell. Striped texture becomes more prominent as the radius of curvature of substrate gets smaller. The optic axis of the adjacent stripes domain was not same and the relative angle between them becomes larger as the radius of curvature gets smaller. Especially, the optic axis rotation angle of one domain was lager than the other and the liquid crystal molecules in each domain became more coherent. In addition, the birefringence data with obliquely incident light shows the polar direction shift of liquid crystal molecule by bending performance.

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A Study on the Double Exposure Holographic Interferometry for Dental Science (치의학을 위한 이중노출 홀로그래피 간섭기법 연구)

  • Gil, S.K.;Kang, H.S.;Choi, P.S.;Park, H.K.
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.418-421
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    • 1988
  • Holographic interferometry is applied in dental research to study the motion of teeth and the deformation of the associated facial structure. We consider double exposure holographic interferometry which has limiting factors such as the stability of fringes, the recording time, the amount of exposure, the localization of fringes and sensitivity. These factors are taken into account to make interferogram. The resulting interferogram gives fringe pattern which is analyzed qualitatively to determine the relative rotation and the deformation of the facial structure.

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p-Version Finite Element Analysis of Stiffened Plates Including Transverse Shear Deformation (전단 변형을 고려한 보강판의 p-Version 유한요소 해석)

  • 홍종현;우광성;신영식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.145-152
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    • 1995
  • A general stiffener element which includes transverse shear deformation(TSD) is formulated using the p-version of finite element method. Hierarchic C"-shape functions, derived from Integrals of Legendre polynomials, are used to define the assembled stiffness matrix of the stiffener and plate on the basis of 5 D.0.F displacement fields. The stiffness matrix for the stiffener with respect to the local reference frame is transformed to the plate reference system by applying the appropriate transformation matrices in order to insure compatibility of displacements at the junction of the stiffener and plate. The transformation matrices which account for the orientation and the eccentricity effects of the stiffener with respect to the plate reference axes are used to find local behavior at the junction of the stiffener and the relative contributions of the plate and stiffener to the strength of the composite system. The results obtained by the p-version of the finite element method are compared with the results in literatures, especially those by the h-version software, MICROFEAP-II.P-II.

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Effect of the Ni Content and W Grain Size on the High Temperature Com-pressive Properties of W-Ni Activated Sintered Parts (Ni 함량과 W 결정립 크기에 따른 W-Ni 활성소결체의 고온압축 특성)

  • 박영삼;오승탁;양주환;김영도;문인형
    • Journal of Powder Materials
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    • v.11 no.2
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    • pp.149-157
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    • 2004
  • High temperature deformation behavior of activated sintered W powder compacts was investigated. The compression tests were carried out in the temperature range between 900 and 110$0^{\circ}C$ at the strain rate of $10^{-3}s^{-1}$. The sintered specimens of Ni-doped submicron W powder compacts showed decrease in W grain size with increasing the Ni content. As the result, the flow stress was significantly increased with increasing the Ni content. We obtained Ni-activated sintered W compacts with the relative density of 94 $\pm$ l%and the average grain size of less than 5${\mu}{\textrm}{m}$. A moderate true strain up to 0.60 was obtained without fracture even at 110$0^{\circ}C$ with the strain rate of $10^{-3}s^{-1}$ for the activated W compact despite adding the 1.0 wt%Ni to submicron W powder.

Buckling analysis of partially embedded pile in elastic soil using differential transform method

  • Catal, Seval;Catal, Hikmet Huseyin
    • Structural Engineering and Mechanics
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    • v.24 no.2
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    • pp.247-268
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    • 2006
  • The parts of pile, above the soil and embedded in the soil are called the first region and second region, respectively. The forth order differential equations of both region for critical buckling load of partially embedded pile with shear deformation are obtained using the small-displacement theory and Winkler hypothesis. It is assumed that the behavior of material of the pile is linear-elastic and that axial force along the pile length and modulus of subgrade reaction for the second region to be constant. Shear effect is included in the differential equations by considering shear deformation in the second derivative of the elastic curve function. Critical buckling loads of the pile are calculated for by differential transform method (DTM) and analytical method, results are given in tables and variation of critical buckling loads corresponding to relative stiffness of the pile are presented in graphs.