• 제목/요약/키워드: Thermo-Mechanical Model

검색결과 299건 처리시간 0.026초

플립 칩 패키지 솔더의 탄소성 거동과 크립 해석 (Elastoplastic Behavior and Creep Analysis of Solder in a FC-PBGA Package)

  • 최남진;이봉희;주진원
    • 마이크로전자및패키징학회지
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    • 제17권2호
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    • pp.21-28
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    • 2010
  • 본 논문에서는 온도 사이클이 진행되는 동안 비선형 거동과 크립 거동을 보이는 FC-PBGA 패키지 솔더볼의 변형거동을 알아보기 위하여 시간에 종속하는 거동을 적용 시킬 수 있는 점소성 모델과 크립 모델에 대하여 유한요소해석을 수행하였다. 유한요소해석 결과의 신뢰성을 평가하기 위하여 무아레 간섭계를 이용하여 온도변화에 따른 열변형 실험을 수행하였다. 전체적인 굽힘변위는 Anand 모델과 변형률 분리 모델 모두 실험결과와 잘 일치하였으나 솔더볼의 변형률은 Anand 모델의 경우 큰 차이를 보이고 변형률 분리 모델의 경우 상당히 일치하는 계산결과를 얻었다. 따라서 본 논문에서는 변형률 분리 모델을 이용하여 시간에 종속하는 FC-PBGA 패키지 솔더볼의 크립 거동을 검토하였다. 솔더를 포함한 패키지에 온도변화가 생길 때 고온에서는 시간이 지남에 따라 크립 거동에 의해 솔더의 응력이 점차 완화되는 현상을 나타내고 있음을 알 수 있었다.

열-전기-기계 하중에서의 복합재 평판의 응력해석 (Refined Decoupled Stress Analysis for Thermo-piezoelectric Composite Plate)

  • 오진호;조맹효
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 추계학술발표대회 논문집
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    • pp.46-49
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    • 2000
  • A decoupled thermo-~lezoelectric-mechanical model of composite laminates with surface bonded piezoelectric actuators, subjected to externally applied load, temperature change load, electric field load is developed. The governing differential equations are obtained by applying the principle of free energy and variational techniques. A higher order zigzag theory displacement field is employed to accurately capture the transverse shear and normal effects in laminated composite plates of arbitrary thickness.

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Thermo-mechanical analysis of road structures used in the on-line electric vehicle system

  • Yang, B.J.;Na, S.;Jang, J.G.;Kim, H.K.;Lee, H.K.
    • Structural Engineering and Mechanics
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    • 제53권3호
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    • pp.519-536
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    • 2015
  • On-line electric vehicle (OLEV) is a new eco-friendly transportation system that collects electricity from a power cable buried beneath the road surface, allowing the system to resolve various problems associated with batteries in electric vehicles. This paper presents a finite element (FE) based thermo-mechanical analysis of precast concrete structures that are utilized in the OLEV system. An experimental study is also conducted to identify materials used for a joint filler, and the observed experimental results are applied to the FE analysis. Traffic loading and boundary conditions are modeled in accordance with the related standards and environmental characteristics of a road system. A series of structural analyses concerning various test scenarios are conducted to investigate the sensitivity of design parameters and to evaluate the structural performance of the road system.

Thermo-mechanical behavior of porous FG plate resting on the Winkler-Pasternak foundation

  • Rabia, Benferhat;Tahar, Hassaine Daouadji;Abderezak, Rabahi
    • Coupled systems mechanics
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    • 제9권6호
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    • pp.499-519
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    • 2020
  • The effect of porosity on the thermo-mechanical behavior of simply supported functionally graded plate reposed on the Winkler-Pasternak foundation is investigated analytically in the present paper using new refined hyperbolic shear deformation plate theory. Both even and uneven distribution of porosity are taken into account and the effective properties of FG plates with porosity are defined by theoretical formula with an additional term of porosity. The present formulation is based on a refined higher order shear deformation theory, which is based on four variables and it still accounts for parabolic distribution of the transverse shearing strains and stresses through the thickness of the FG plate and takes into account the various distribution shape of porosity. The elastic foundation is described by the Winkler-Pasternak model. Anew modified power-law formulation is used to describe the material properties of FGM plates in the thickness direction. The closed form solutions are obtained by using Navier technique. The present results are verified in comparison with the published ones in the literature. The results show that the dimensionless and stresses are affected by the porosity volume fraction, constituent volume fraction, and thermal load.

Hygrothermal sound radiation analysis of layered composite plate using HFEM-IBEM micromechanical model and experimental validation

  • Binita Dash;Trupti R Mahapatra;Punyapriya Mishra;Debadutta Mishra
    • Structural Engineering and Mechanics
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    • 제89권3호
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    • pp.265-281
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    • 2024
  • The sound radiation responses of multi-layer composite plates subjected to harmonic mechanical excitation in hygrothermal environment is numerically investigated. A homogenized micromechanical finite element (FE) based on the higher-order mid-plane kinematics replicating quadratic function as well as the through the thickness stretching effect together with the indirect boundary element (IBE) scheme has been first time employed. The isoparametric Lagrangian element (ten degrees of freedom per node) is used for discretization to attain the hygro-thermo-elastic natural frequencies and the modes of the plate via Hamilton's principle. The effective material properties under combined hygrothermal loading are considered via a micromechanical model. An IBE method is then implemented to attain structure-surrounding coupling and the Helmholtz wave equation is solved to compute the sound radiation responses. The effectiveness of the model is tested by converging it with the similar analytical/numerical results as well as the experimentally acquired data. The present scheme is further hold out for solving diverse numerical illustrations. The results revealed the relevance of the current higher-order FE-IBE micromechanical model in realistic estimation of hygro-thermo-acoustic responses. The geometrical parameters, volume fraction of fiber, layup, and support conditions alongside the hygrothermal load is found to have significant influence on the vibroacoustic characteristics.

Prandtl 수에 따른 옵셋 스트립 핀에서의 열 및 유동 분석 (Thermo-Flow Analysis of Offset-Strip Fins according to Prandtl Number)

  • 주윤식;공동현;이관수
    • 설비공학논문집
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    • 제21권6호
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    • pp.340-346
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    • 2009
  • This paper numerically investigates thermo-flow characteristics of offset strip fins to obtain a correlation between heat transfer and pressure drop. The flow was divided into three regimes, i.e. laminar, transition and turbulent. The predicted j and f values from the SST k-$\omega$ turbulence model agreed with previous correlations with the error less than 20% in transition and turbulent regimes. Heat transfer and pressure drop were predicted by varying Prandtl number from 0.5 to 40. The Prandtl number showed little effects on pressure drop but had great effect on the heat transfer characteristics. An overall correlation to predict j was suggested by incorporating the effect of Pr and a new j correlation was suggested for each Pr.

Plandtl 수에 따른 옵셋 스트립핀에서의 열 및 유동 분석 (Thermo-Flow Analysis of Offset-strip fins according to Prandtl Number)

  • 주윤식;김민수;이관수
    • 대한설비공학회:학술대회논문집
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    • 대한설비공학회 2008년도 동계학술발표대회 논문집
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    • pp.233-238
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    • 2008
  • This paper numerically investigates thermo-flow characteristics of offset strip fins to obtain a correlation between heat transfer and pressure drop. The flow was divided into three regimes, i.e. laminar, transition and turbulent. The predicted j and f values from the SST k-$\omega$ turbulence model agreed with previous correlations with the error less than 20% in transition and turbulent regimes. Heat transfer and pressure drop were predicted by varying Prandtl number from 0.5 to 40. The Prandtl number showed little effects on pressure drop but had great effect on the heat transfer characteristics. An overall correlation to predict j was suggested by incorporating the effect of Pr and a new j correlation was suggested for each Pr.

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철골보의 내화시간 평가를 위한 구조 및 열적 변수해석 (Analysis of Structural and Thermal Parameters for Evaluating Fire Resistance of Steel Beams)

  • 박한나;안재권;이철호
    • 한국강구조학회 논문집
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    • 제21권6호
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    • pp.609-618
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    • 2009
  • 본 연구에서는 다양한 설계조건 하에서 철골보의 내화시간을 평가할 수 있는 산정식을 열-구조 연성해석(fully coupled thermo-mechanical analysis)을 토대로 제안하였다. 본 연구에서 제안하는 산정식은 철골보의 화재거동에 미치는 주요 인자를 구조변수 및 열변수로 명시적으로 반영하므로 각 설계변수의 내화성능에 대한 영향을 설계자가 쉽게 정량적으로 파악할 수 있는 강점이 있다. 광범위한 변수해석을 수행하기에 앞서 실물대 화재실험 결과를 활용하여 본 연구의 열-구조 연성해석모델의 타당성을 검증한 후, 철골보에 붕괴처짐(run-away deflection)이 발생할 때까지 화재거동에 대한 각 변수들의 영향력을 검토하였다. 이러한 수치해석결과를 다양한 설계조건에서 철골보의 내화시간 예측에 활용할 수 있도록 다중선형회귀분석을 통해 통계학적으로 신뢰도가 높은 평가식을 제안하였다. 현행 사양설계기준에서의 활용법을 사례를 들어 예시하였고, 제시된 식으로부터 얻어지는 경제성과 장점을 입증하였다.