• Title/Summary/Keyword: thermal distribution

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Stress distribution of near the interface on high temperature fatigue in ceramic/metal bonded joints (세라믹/금속접합재의 고온피로에 따른 접합계면의 응력분포)

  • 박영철;허선철;윤두표;김광영
    • Journal of Ocean Engineering and Technology
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    • v.10 no.2
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    • pp.106-119
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    • 1996
  • The ceramic has various high mechanical properties such as heat, abrasion, corrosion resistance and high temperature strength compared with metal. It also has low speciffic weight, low thermal expansibillity, low thermal conductivity. However, it could not be used as structural material since it is brittle and difficult for the machining. Therefore, there have been many researches to attempt to join ceramic with metal which is full of ductillity in order to compensate the weakness of ceramic.The problem is that residual stress develops around the joint area while the ceramic/metal joint material is cooled from high joining temperature to room temperature due to remarkable difference of thermal expansion coefficients between ceramic and metal. Especially, the residual stress at both edges of the specimen reduces the strngth of joint to a large amount by forming a singular stress field. In this study, two dimensional finite element method is attempted for the thermal elastic analysis. The joint residual stress of ceramic/metal developed in the cooling process is investigated and the change of joint residual stress resulted from the repetitive heat cycle is also examined. In addition, it is attempted to clarify the joint stress distribution of the case of tensile load and of the case of superposition of residual stress and actual loading stress.

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On the Thermal Stress and Residual Stress Distributions in a Aluminum Alloy Plate due to Resistance Spot Welding (알루미늄합금(合金)의 저항용접(抵抗熔接)에 따른 열응력(熱應力) 및 잔류응력(殘留應力)의 해석(解析))

  • Zae-Geun,Kim;Hyo-Chul,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.9 no.2
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    • pp.21-32
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    • 1972
  • The problems of thermal stress and residual stress in resistance spot welding are studied from two standpoint namely, effect of temperature distributions and effect of the radius of free boundary. The radius of the region where the temperature distributions are occured is taken as a function of time after welding and as a finite size, 6 times of heated zone. The region of the radial stress distribution is treated as a function of time under Saint-Venant's principle and 6 or 12 times of originally heated zone. Thermal stresses and strains are obtained by analytic solution under constant mechanical properties and by the finite difference method for varing properties under temperature variation. From the computed results following conclusions are derived (1) For the engineering purpose, the region of temperature distribution and stress distribution can be treated as a finite region, $R=r_o=6r_e$ (2) If the maximum temperature of the aluminum alloy plate is less than $500^{\circ}F$, thermal stresses and strains can be obtained with constant mechanical properties. (3) The residual stresses and strains will be remained in welds and its vicinity.

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Thermal buckling response of functionally graded sandwich plates with clamped boundary conditions

  • Abdelhak, Zohra;Hadji, Lazreg;Daouadji, T. Hassaine;Adda Bedia, E.A.
    • Smart Structures and Systems
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    • v.18 no.2
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    • pp.267-291
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    • 2016
  • In this research work, an exact analytical solution for thermal buckling analysis of functionally graded material (FGM) sandwich plates with clamped boundary condition subjected to uniform, linear, and non-linear temperature rises across the thickness direction is developed. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present refined theory. The non-linear governing equations are solved for plates subjected to simply supported and clamped boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The effects of aspect and thickness ratios, gradient index, on the critical buckling are all discussed.

Thermal Distribution Analysis of Triple-Stacked ZnO Varistor (3층으로 적층된 ZnO 바리스터의 열분포 해석)

  • Kyung-Uk Jang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.36 no.4
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    • pp.391-396
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    • 2023
  • Recently, as power and electronic devices have increased in frequency and capacity, it has become a major concern to protect electronic circuits and electronic components used in these devices from abnormal voltages such as various surges and pulse noise. To respond to variously rated voltages applied to power electronic devices, the rated voltages of various varistors can be obtained by controlling the size of internal particles of the varistor or controlling the number of layers of the varistor. During bonding, the problem of unbalanced thermal runaway occurring between the electrode and the varistor interface causes degradation of the varistor and shortens its life of the varistor. In this study, to solve the problem of unbalanced heat distribution of stacked varistors to adjust the operating voltage, the contents of the ZnO-based varistor composition were 96 wt% ZnO, 1 mol% Sb2O3, 1 mol% Bi2O3, 0.5 mol% CoO, 0.5 mol% MnO, and 1 mol% TiO2. A multi-layered ZnO varistor was modeled by bonding a single varistor with a composition in three layers according to the operating voltage. The thermal distribution of the triple-layered ZnO varistor was analyzed for the thermal runaway phenomenon that occurred during varistor operation using the finite element method according to Comsol 5.2.

Thermal post-buckling analysis of graphene platelets reinforced metal foams beams with initial geometric imperfection

  • Gui-Lin She;Yin-Ping Li;Yujie He;Jin-Peng Song
    • Computers and Concrete
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    • v.33 no.3
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    • pp.241-250
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    • 2024
  • This article investigates the thermal and post-buckling problems of graphene platelets reinforced metal foams (GPLRMF) beams with initial geometric imperfection. Three distribution forms of graphene platelet (GPLs) and foam are employed. This article utilizes the mixing law Halpin Tsai model to estimate the physical parameters of materials. Considering three different boundary conditions, we used the Euler beam theory to establish the governing equations. Afterwards, the Galerkin method is applied to discretize these equations. The correctness of this article is verified through data analysis and comparison with the existing articles. The influences of geometric imperfection, GPL distribution modes, boundary conditions, GPLs weight fraction, foam distribution pattern and foam coefficient on thermal post-buckling are analyzed. The results indicate that, perfect GPLRMF beams do not undergo bifurcation buckling before reaching a certain temperature, and the critical buckling temperature is the highest when both ends are fixed. At the same time, the structural stiffness of the beam under the GPL-A model is the highest, and the buckling response of the beam under the Foam-II mode is the lowest, and the presence of GPLs can effectively improve the buckling strength.

Numerical and Experimental Studies on Thermal Strain Analysis of Al Alloy Casting Mold using Metal Foundry (금형주조기를 이용한 알루미늄 합금 금형의 수치해석적 열변형 해석과 실험에 관한 연구)

  • Oh, Yool-Kwon;Kim, Yong-Bum;Yoon, Hee-Sung
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2050-2054
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    • 2007
  • This study numerically and experimentally investigated on thermal strain analysis of aluminum alloy casting mold using metal foundry. To predict the numerical result of thermal strain in Al alloy casting mold during the cooling process, it is performed the investigation of temperature distribution, stress and displacement based on the physical properties of Al alloy. In results of this study, Al alloy casting mold represented rapidly cooling graph during initial 20minutes after beginning cooling process, therefore value of stress and displacement is rapidly changed during initial 20minutes after beginning cooling process. In addition to, temperature distribution obtained by experiment confirmed corresponding pattern then compared numerical analysis with experiment. These results are distribute to make the effective and the high precision casting mold.

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Reliability evaluation of brittle structures under thermal shocks (열충격이 작용하는 취성구조의 신뢰성 평가)

  • 이치우;장건익;김종태
    • Journal of Ocean Engineering and Technology
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    • v.12 no.1
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    • pp.58-64
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    • 1998
  • An analysis method for the reliability of ceramic structures subjected to thermal shocks is presented. Flaws with the size of given probability distribution function are assumed to be distributed at random with a certain density per unit volume in the structures. Criterions for crack instability are derived for brittle solids under general thermal stresses. A probabilistic failure model is presented to study the probability of crack instability for brittle solids containing cracks with uncertain size. The reliabilities of brittle structures are evaluated based on the weakest-link hypothesis, which states that a structure fails when the cracks in any differential volume become unstable. A numerical example is given to demonstrate the application of the proposed method.

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An analytical study on unsteady thermal stresses of functionally graded materials (경사기능재료의 비정상 열응력에 관한 해석적 연구)

  • Choi, Deok-Kee;Kim, Chang-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.9
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    • pp.1441-1451
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    • 1997
  • This paper addresses method which can be used for analyzing thermal stresses of a functionally graded material(FGM) using semi-analytical approach. FGM is a nonhomogeneous material whose composition changes continuously from a metal surface to a ceramic surface. An infinite one dimensional FGM plate is considered. The temperature distribution in the FGM is obtained by approximate Green's function solution. To expedite the convergence of the solutions, alternative Green's function solution is derived and shows good agreement with results from finite difference method. Thermal stresses are calculated using temperature distribution of the plate.

A study on relaxation of thermal stresses of heat-resistant systems (열차단 시스템에 있어서의 열응력 완화에 대한 연구)

  • Choi, Deok-Kee;Kim, Chang-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.1
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    • pp.16-22
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    • 1998
  • This paper addresses a method which can be used for analyzing thermal stresses of a functionally graded material(FGM) using semi-analytical approach. FGM is a nonhomogeneous material whose composition is changed continuously from a metal surface to a ceramic surface. An infinite one dimensional FGM plate is considered. The temperature distribution in the FGM is obtained by approximate Green's function solution. To expedite the convergence of the solutions, alternative Green's function solution is derived and shows good agreement with results from finite difference method. Thermal stresses are calculated using temperature distribution of the plate.

Thermal Behavior Analysis of Machine Tool Structures using a Predictor-Corrector Method (공작기계구조물의 열적 거동 해석에 관한 연구)

  • 이영우;성활경
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.78-81
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    • 2002
  • To achieve high precision machine totals with high speed, it is needed to develop excellent rigidity statically, dynamically and thermally as well. In this view the chief things that thermal deformation of machine tool structure is directly related to high precision. And thermal behavior for transmission procedure have an effect on high precision. It is needed to exact temperature distribution of each members and all contact elements included for machine tool structure. This paper deals with thermal behavior caused by temperature variation in a high speed feeding process. At this procedure of temperature distribution is estimated using a Predictor-Corrector Method.

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