• Coupled systems mechanics
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• 제7권1호
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• pp.5-25
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• 2018

A fully-coupled thermodynamic-based transient finite element formulation is proposed in this article for electric, magnetic, thermal and mechanic fields interactions limited to the linear case. The governing equations are obtained from conservation principles for both electric and magnetic flux, momentum and energy. A full-interaction among different fields is defined through Helmholtz free-energy potential, which provides that the constitutive equations for corresponding dual variables can be derived consistently. Although the behavior of the material is linear, the coupled interactions with the other fields are not considered limited to the linear case. The implementation is carried out in a research version of the research computer code FEAP by using 8-node isoparametric 3D solid elements. A range of numerical examples are run with the proposed element, from the relatively simple cases of piezoelectric, piezomagnetic, thermoelastic to more complicated combined coupled cases such as piezo-pyro-electric, or piezo-electro-magnetic. In this paper, some of those interactions are illustrated and discussed for a simple geometry.

• Structural Engineering and Mechanics
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• 제83권6호
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• pp.825-834
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• 2022

The effectiveness and accuracy of the strain-based approach applied for analysis of two kinds of heterogeneous hollow cylinders subjected to thermal and mechanical loads are examined in this study. One is a multilayer cylinder in which the material in each layer is assumed to be linearly elastic, homogeneous and isotropic. Another is a hollow cylinder made of functionally graded materials with arbitrary gradient. The steady state condition without heat generation is considered. A sector in-plane finite element in the polar coordinate system based on strain approach is used. This element has only three degrees of freedom at each corner node. Analytical solutions available in the literature are presented to illustrate the accuracy of the sector element used. The obtained results for displacements and stresses are shown to be in good agreement with the analytical solutions.

• Steel and Composite Structures
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• 제26권4호
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• pp.513-531
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• 2018

In this article, static, buckling and free vibration analyses of a sinusoidal micro composite beam reinforced by single-walled carbon nanotubes (SWCNTs) with considering temperature-dependent material properties embedded in an elastic medium in the presence of magnetic field under transverse uniform load are presented. This system is used at micro or sub micro scales to enhance the stiffness of micro composite structures such as bar, beam, plate and shell. In the present work, the size dependent effects based on surface stress effect and modified strain gradient theory (MSGT) are considered. The generalized rule of mixture is employed to predict temperature-dependent mechanical and thermal properties of micro composite beam. Then, the governing equations of motions are derived using Hamilton's principle and energy method. Numerical results are presented to investigate the influences of material length scale parameters, elastic foundation, composite fiber angle, magnetic intensity, temperature changes and carbon nanotubes volume fraction on the bending, buckling and free vibration behaviors of micro composite beam. There is a good agreement between the obtained results by this research and the literature results. The obtained results of this study demonstrate that the magnetic intensity, temperature changes, and two parameters elastic foundations have important effects on micro composite stiffness, while the magnetic field has greater effects on the bending, buckling and free vibration responses of micro composite beams. Moreover, it is shown that the effects of surface layers are important, and observed that the changes of carbon nanotubes volume fraction, beam length-to-thickness ratio and material length scale parameter have noticeable effects on the maximum deflection, critical buckling load and natural frequencies of micro composite beams.

• Structural Engineering and Mechanics
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• 제65권4호
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• pp.491-504
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• 2018

Because of sandwich structures with low weight and high stiffness have much usage in various industries such as civil and aerospace engineering, in this article, buckling and free vibration analyses of coupled micro composite sandwich plates are investigated based on sinusoidal shear deformation (SSDT) and most general strain gradient theories (MGSGT). It is assumed that the sandwich structure rested on an orthotropic elastic foundation and make of four composite face sheets with temperature-dependent material properties that they reinforced by carbon and boron nitride nanotubes and two flexible transversely orthotropic cores. Mathematical formulation is presented using Hamilton's principle and governing equations of motions are derived based on energy approach and applying variation method for simply supported edges under electro-magneto-thermo-mechanical, axial buckling and pre-stresses loadings. In order to predict the effects of various parameters such as material length scale parameter, length to width ratio, length to thickness ratio, thickness of face sheets to core thickness ratio, nanotubes volume fraction, pre-stress load and orthotropic elastic medium on the natural frequencies and critical buckling load of double-bonded micro composite sandwich plates. It is found that orthotropic elastic medium has a special role on the system stability and increasing Winkler and Pasternak constants lead to enhance the natural frequency and critical buckling load of micro plates, while decrease natural frequency and critical buckling load with increasing temperature changes. Also, it is showed that pre-stresses due to help the axial buckling load causes that delay the buckling phenomenon. Moreover, it is concluded that the sandwich structures with orthotropic cores have high stiffness, but because they are not economical, thus it is necessary the sandwich plates reinforce by carbon or boron nitride nanotubes specially, because these nanotubes have important thermal and mechanical properties in comparison of the other reinforcement.

• 한국군사과학기술학회지
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• 제26권3호
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• pp.205-213
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• 2023

An optimal design of a simple beam-shaped flexure hinge mount supporting an optical mirror is presented. An optical mirror assembly is an opto-mechanically coupled system as the optical and mechanical behaviors interact. This side-supporting mount is flexible in the radial direction and rigid for the remaining degrees of freedom to support the mirror without transferring thermal load. Through thermo-elastic, optical and eigenvalue analysis, opto-mechanical performance was predicted to establish the objective functions for optimization. The key design parameters for this flexure are the thickness and length. To find the optimal values of design parameters, response surface analysis was performed using the design of experiment based on nested FCD. Optimal design candidates were derived from the response surface analysis, and the optimal design shape was confirmed through Opto-mechanical performance validation analysis.

• 방사성폐기물학회지
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• 제4권2호
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• pp.117-131
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• 2006

한국의 고준위폐기물 기준 처분 시스템의 공학적 방벽에서의 T-H-M(Thermo-Hydro-Mechanical) 거동 실증을 위한 KENTEX(KAERI Engineering-scale T-H-M Experiment for Engineered Barrier System)실험 장치를 대상으로 열-수리-역학 연동현상 해석을 하여 온도, 포화도 및 응력의 변화를 예측하였다. 그리고 이들 변수와 열-수리-역학의 연동현상에 사용된 세물성법칙인 탄성물성법칙, 공극탄성 물성법칙 및 공극탄성-소성 물성법칙과의 관계를 분석하였다. 열-수리-역학 연동현상을 계산하는 데는 상용 유한요소 코드인 ABAQUS를 사용하였다. 열 계산에서 벤토나이트 내 온도는 히터 가열 후 초기에는 급격히 증가하다가 얼마의 시간이 경과한 후에는 거의 일정한 값에 도달하였다. 이 도달시간은 약 37.5일로 반경방향의 모든 지점(H=0.68m 일때)에서 정상상태에 도달한 것을 알 수 있었다. 즉, 히터와 벤토나이트 경계면에서는 $90^{\circ}C$, 벤토나이트와 외부 셀 경계면에서는 약 $70^{\circ}C$를 유지하였다. 열-수리-역학 연동현상 계산에서 시간에 따른 벤토나이트 포화도는 탄성 물성법칙, 공극탄성 물성법칙 및 공극탄성-소성 물성법칙의 세 경우 모두 거의 차이가 없었다. 열-수리-역학 계산 결과와 수리-역학 계산 결과의 비교에서 온도의 증가는 탄성 물성법칙 및 공극탄성 물성법칙 각각에 대해 시간이 경과함에 따라 포화도가 증가함을 초래해 포화가 빨리 진행됨을 알 수 있었다. 특히 히터에 가까운 쪽에서는물이 침투하고 있는 쪽 보다 포화도 증가가 큰 것으로 나타나 벤토나이트가 물로 포화되기 전의초기상태가 온도의 영향을 많이 받는 것을 알 수 있었다. 또한 응력은 세 물성 법칙 모두 시간의 경과에 따라 증가하는 경향을 보이나 탄성 물성법칙의 경우가 다른 두 경우보다 현저한 변화를 보이는데 이는 변형율이 탄성한계를 넘어서도 계속 작용하여 공극비 변화를 고려한 다른 두 물성법칙과 차이가 있음을 나타내고 있다. 그러나 공극탄성 물성법칙 및 공극탄성-소성 물성법칙의 경우에 열-수리-역학 계산 결과와 수리-역학 계산 결과를 비교하면 시간이 경과함에 따라 응력은 증가하지만 온도의 변화에 따른 서로의 응력의 차이는 작은 것을 알 수 있다. 즉 온도변화의 영향보다는 시간에 따른 포화도 변화의 영향이 더 큰 것으로 생각된다. 따라서 벤토나이트의 열-수리-역학 연동현상 해석에서 벤토나이트는 온도의 증가로 포화가 빨라지고, 포화도 증가는 응력을 증가시키는 결과를 보이므로 공극비, 열팽창 및 팽윤압 등의 영향을 받고 있는 것으로 이해된다. 그래서 벤토나이트의 열-수리-역학 연동현상 해석에서 벤토나이트는 공극비, 열팽창 및 팽윤압 등의 영향을 받으므로 탄성과 소성을 동시에 고려할 수 있는 물성법칙을 선택하는 것이 바람직하다.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제15권3호
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• pp.223-231
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• 2011

During spray coating, especially in an air plasma spray (APS), pores, cracks, and splat boundaries are developed and those factors exert influence on thermomechanical properties such as elastic modulus, thermal conductivity, and coefficient of thermal expansion. Moreover, the thermo mechanical properties are crucial elements to determine the thermoelastic characteristics, for instance, temperature distribution, displacements, and stresses. Two types of thermal barrier coating (TBC) model, the dense and porous microstructures, are taken into account for the analysis of microstructural characterizations. $TriplexPro^{TM}$-200 system was applied to prepare TBC samples, and the METECO 204 C-NS powder is adopted for the relatively porous microstructure and METECO 204 NS powder for the dense microstructure in the top coat of TBCs. Governing partial differential equations were derived based on the thermoelastic theory and approximate estimates for the thermoelastic characteristics were obtained using a finite volume method for the governing equations.

• Journal of Hydrospace Technology
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• 제2권1호
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• pp.41-54
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• 1996

Sculptured surface structures such as ship hulls are traditionally formed up to the required double curved shape by line heating method. The nature of the line heating process is a transient thermal process, followed by a thermo-elastic-plastic stress field. The permanant shape is dependent on many factors involved in the process, Among them are torch speed and path, supplied heat type and amount , and plate size. Thus, the work is essentially leaded by experts with lots of experiences. However, in order to effectively improve productivity through automation, each factor should be clearly examined how much it affects the final shape. This can not be done only by experiments, but can be achieved by a mechanics-based approach. In this paper, we propose a conceptual configuration for plate forming system, and then present simulations of the line heating process with numerical data in practices and suggest a computerized process of the line heating for practical applications. The modeling of heating torch, water cooling, and the plate to be formed is proposed for the finite element analysis after the mechanics of line heating is studied. Parametric studies are given and discussed for the effects of plate thickness, torch speed and initial curvature in forming a saddle typed surface.

• 한국재료학회지
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• 제8권8호
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• pp.744-750
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• 1998

마이크로 머신 소자는 일반전자 소자와 달리 소자 자체에 미세한 기계적 구조물을 갖고 있으며, 이의 구동을 통하여 센서 또는 엑츄에이터의 기능을 갖게 된다. 이 소자들은 그 작동 요구특성에 따라 패키지의 기계적, 환경적 격리를 요구하거나 분위기조절이 요구되는 등 까다로운 패키지 특성을 필요로 한다. 또한 미세한 작동소자들로 인하여 열 및 열응력에 매우 민감하며, 패키지방법에 따라 구동부위의 작동 특성이 크게 변화할 수 있다. 본 연구에서는 마이크로 머신 소자가 패키지 상에 접촉되어 패키지 될 때, 소자의 접촉 재료 및 공정온도, 크기 등이 마이크로 머신 소자에 미치는 열응력을 연구하였다. 유한요소해석법을 사용하여 소자에 미치는 열응력과 이로 인한 마이크로머신 소자의 물리적 변형을 예측하고, 이를 통하여 마이크로 머신 소자 패키지에 최소한의 열응력을 미치는 소자접속 재료의 선별과 패키지 설계의 최적화를 이루고자 하였다.