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Analysis of Temperature Distribution and slip in Rapid Thermal Processing (급속 열처리시 실리콘 웨이퍼의 온도분포와 슬립 현상의 해석)

  • Lee, Hyouk;Yoo, Young-Don;Earmme, Youn-Young;Shin, Hyun-Dong;Kim, Choong-Ki
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.4
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    • pp.609-620
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    • 1992
  • A numerical solution of temperature and thermally induced stress in a wafer during rapid thermal processing (R.T.P) is obtained, and an analysis of onset and propagation of slip is performed and compared with experiment. In order to calculate temperature distribution of a wafer in R.T.P system, heat conduction equation that incorporated with radiative and convective heat transfer model is solved, and the solution of the equation is calculated numerically using alternating direction implicit (A.D.I) method. In dealing with radiative heat transfer, a partially transparent body that absorbs the radiation energy is assumed and this transparent body undergoes multiple internal reflections and absorptions. Two dimensional (assuming plane stress) thermoelastic constitutive equation is used to calculate thermal stress induced in a wafer and finite element method is employed to solve the equation numerically. The stress resolved in the slip directions on the slip planes of silicon is compared with the yield stress of silicon in order to predict the slip. The result of the analysis shows that the wafer temperature at which slip occurs is affected by the heating rate of the R.T.P system. It is observed that once slip occurs in the wafer, the slip grows.

A Study on the Minimum Weight Design of Stiffened Cylindrical Shells (보강원통셸의 최소중량화설계 연구)

  • 원종진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.4
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    • pp.630-648
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    • 1992
  • The minimum weight design for simply-supported isotropic or symmetrically laminated stiffened cylindrical shells subjected to various loads (axial compression or combined loads) is studied by a nonlinear mathematical search algorithm. The minimum weight design in accomplished with the CONMIN optimizer by Vanderplaats. Several types of buckling modes with maximum allowable stresses and strains are included as constraints in the minimum weight design process, such as general buckling, panel buckling with either stingers or rings smeared out, local skin buckling, local crippling of stiffener segments, and general, panel and local skin buckling including stiffener rolling. The approach allows the consideration of various shapes of stiffening members. Rectangular, I, or T type stringers and rectangular rings are used for stiffened cylindrical shells. Several design examples are analyzed and compared with those in the previous literatures. The unstiffened glass/epoxy, graphite/epoxy(T300/5208), and graphite/epoxy aluminum honeycomb cylindrical shells and stiffened graphite/epoxy cyindrical shells under axial compression are analyzed through the present approach.

A Study on the Mechanical Properties of EMC and Thermal Stress Anlaysis in Electronic Packagings (전자패키지용 EMC의 기계적 성질 및 패키지내의 열응력해석)

  • Shin, Dong-Kil;Lee, Jung-Ju
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.11
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    • pp.3538-3548
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    • 1996
  • In this study, as a part of basic study for developing the simulation program for the assemssment of reliability of electronic EMC packaging which covers from EMC mixing step to thermal analysis, comparison between a measured and predicted values of material properties of EMC and finitde element analysis of thermal stress are performed. For the experimental testing specimens of fifty, sixty hive and eighty percent filler($13\mu m$, spherical silica) weight fraction are fabricated using tranfer molding. Coefficient of thermal expansion, elastic modulus and thermla conductivity are measured using these specimens and then these measured values are compared with the predicted values by various equations ( such as dilute suspension method. self consistent method, generalized self consistent method, Hashin-Shtrikman's bounds. Shapery's bounds, Nielsen's method and others). Measured values are distributed within the upper and lower bounds of equations. Measured elastic modulus and coefficient of thermal expansion approaches closely the perdicted values with self consisten mehtod and upper bound of Shaperys equation respectively. However small differences of thermal conductivity between the different filler volume fraction are obserbed. FEM analysis indicates that firstly stress is concentrated at the corner section of EMC and secondly EMC with eighty percent filler weight fraction shows less thermal stress when package is cooling down and relatively high thermal stress when package is heating up.

Effect of Adiabatic Sidewalls on Natural Convection in a Rectangular Cavity (사각공동내 자연대류에서 측면 단열벽에 의한 영향)

  • Heo, Jeong-Hwan;Chung, Bum-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.34 no.9
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    • pp.825-834
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    • 2010
  • In this study, we investigated the effects of adiabatic walls on natural convection in various rectangular cavities experimentally and numerically. Heat transfer rates were measured for cavities with and without adiabatic sidewalls by varying Grashof number from $1.53\times10^7$ to $1.01\times10^{10}$. Some typical test results were successfully simulated using FLUENT. In the case of very narrow cavities, where the adiabatic walls were very close to each other, it was difficult to perform experiments; therefore, FLUENT simulations were performed. The existing heat transfer correlations for rectangular cavities were well predicted by the experimental and numerical results. As expected, the effects of adiabatic walls were restricted to the very narrow region near the walls. This study was carried out during the development of an analogy experimental method in which heat-transfer systems are replaced with mass-transfer systems using copper sulfate electroplating systems. The results of this study provide theoretical background of handling adiabatic walls during the design of test facilities.

Deformation Measurement of Well Thinning Elbow by Using Shearography (전단간섭법을 이용한 감육 곡관부의 변형 계측)

  • Jung, Hyun-Chul;Kim, Koung-Suk;Chang, Ho-Sub;Jung, Sung-Wook;Kang, Ki-Soo
    • Journal of the Korean Society for Nondestructive Testing
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    • v.26 no.5
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    • pp.321-328
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    • 2006
  • In this study, the deformation oi wall thinning elbow is measured and the position of the internal thinning defect is found out by shearography. Shearography is an optical method which has applied to nondestructive testing (NDT) and the strain/stress and deformation analysis. This technique has the merit of the directly measuring the first derivative of displacement with sensitivity which can be adjusted by handling the tilt mirror in the interferometer. In this paper, we tested carbon steel pipe locally wall thinned and loaded internal pressure and the shearography was applied to measure the out-of-plane deformation of wall thinning elbow and to investigate the internal thinning defect of it. From the results, it was confirmed that this technique is proper to the practical application on the pipe line system with internal defect.

Estimation of Buckling and Ultimate Strength of a Perforated Plate under Thrust (면내압축하중을 받는 유공판의 좌굴 및 최종강도 평가에 관한 연구)

  • Park Joo-Shin;Ko Jae-Yong
    • Proceedings of KOSOMES biannual meeting
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    • 2004.11a
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    • pp.129-135
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    • 2004
  • Plate has cutout inner bottom and girder and floor etc in hull construction absence is used much, and this is strength in case must be situated, but establish in region that high stress interacts sometimes fatally in region that there is no big problem usually by purpose of weight reduction, a person and change of freight, piping etc. Because cutout's existence gnaws in this place, and, elastic budding strength by load rouses large effect in ultimate strength. Therefore, perforated plate elastic budding strength and ultimate strength is one of important design criteria which must examine when decide structural elements size at early structure design step if ship. Therefore, and, reasonable elastic budding strength about perforated plate need design ultimate strength. Calculated ultimate strength change several aspect ratioes and cutout's dimension, and thickness in this investigation. Used program applied ANSYS F.E.M code based on finite element method

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Consideration on design procedure of room-and-pillar underground structure part II: selection of shape to design supports (주방식 지하구조물의 설계 방법 고찰 Part II: 지보 설계 필요 단면 검토)

  • Lee, Chulho;Hur, Jinsuk;Hyun, Younghwan;Chang, Soo-Ho
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.16 no.5
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    • pp.497-506
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    • 2014
  • In this study, analysis results described in the companion paper was used to determine shapes of room-and-pillar underground structure. To select optimized shapes, structural stability, space applicability and vehicle applicability were considered. In the structural stability step, ratio between strength and stress of the pillar and the critical strain at the roof span were adopted. The space applicability was used to retain the sufficient space of underground structure as its purpose is for human activity. The vehicle applicability was used to consider a radius for rotation of construction equipments in the room-and-pillar underground structure. From the given procedure in this study, proper shapes of rock pillar and room can be selected to design supports at the pillar and roof.

Development of Longitudinal Ultimate and Residual Strength Estimation System for Hull Girder Structure (선각 거어더의 최종 몇 잔류종강도 추정 시스템 재발)

  • J.H. Ham;U.N. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.3
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    • pp.107-115
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    • 1995
  • A simple estimation system of ultimate and residual strength for ship structures is developed on the Open-Window system of SUN4 engineering workstation. System development consists of three stages. Firstly, various ultimate longitudinal strength estimation methods are investigated and some rational estimation methods are adopted based on the parametric comparison of various hulls or box girders. Secondly, these selected and newly formulated methods are linked with elastic & perfectly plastic section modulus calculation procedure. Therefore, the longitudinal hull girder strength can be calculated in the intact and damaged conditions due to the grounding or collision of hull structure. Finally, an exclusive system is developed such that whole procedures are proceeded under the window management system using mouse button and elastic and perfect plastic stress conditions. Also longitudinal members are plotted automatically under three dimensional graphic circumstances. These established program is tested for various actual ships, and some examples are illustrated.

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Strength Characteristics of Square Concrete Column Confined by Carbon Composite Tube (탄소섬유튜브로 횡구속된 각형 콘크리트 기둥의 압축강도 성능에 관한 연구)

  • 홍원기;김희철;윤석한;박순섭
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.1
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    • pp.1-7
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    • 2003
  • The carbon composite tube can play an important role in replacing or complementing longitudinal and transverse reinforcing steels by providing ductility and strength for conventional columns. In this study, both the experimental and analytical investigations of axial behavior of large-scale square concrete columns confined by carbon composite tube are presented. The specimens are filament-wound carbon composite with 90$^{\circ}$+30$^{\circ}$, 90$^{\circ}$+45$^{\circ}$ winding angle respect to longitudinal axis of tube. The instrumented large-scale concrete-filled composite tubes(CFCT) are subjected to monotonic axial loads exerted by 10,000kN UTM. The influence of winding angle, thickness of tube on stress-strain relationships of the confined columns is identified and discussed. Proposed equations to predict both the strength and ductility of confined columns by carbon composite tube demonstrate good correlation with test data obtained from large-scale specimens.

Free-surface Boundary Condition in Time-domain Elastic Wave Modeling Using Displacement-based Finite-difference Method (시간영역 변위근사 유한차분법의 자유면 경계조건)

  • Min Dong-Joo;Yoo Hai Soo
    • Geophysics and Geophysical Exploration
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    • v.6 no.2
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    • pp.77-86
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    • 2003
  • We designed a new time-domain, finite-difference, elastic wave modeling technique, based on a displacement formulation. which yields nearly correct solutions to Lamb's problem. Unlike the conventional, displacement-based, finite-difference method using a node-based grid set (where both displacements and material properties such as density and Lame constants are assigned to nodal points), in our new finite-difference method, we use a cell-based grid set (where displacements are still defined at nodal points but material properties within cells). In the case of using the cell-based grid set, stress-free conditions at the free surface are naturally described by the changes in the material properties without any additional free-surface boundary condition. Through numerical tests, we confirmed that the new second-order finite differences formulated in the cell-based grid let generate numerical solutions compatible with analytic solutions unlike the old second-order finite-differences formulated in the node-based grid set.