• Structural Engineering and Mechanics
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• 제85권3호
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• pp.289-304
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• 2023

The main objective of this paper is to study the effect of porosity on the buckling behavior of thick functionally graded sandwich plate resting on various boundary conditions under different in-plane loads. The formulation is made for a newly developed sandwich plate using a functional gradient material based on a modified power law function of symmetric and asymmetric configuration. Four different porosity distribution are considered and varied in accordance with material propriety variation in the thickness direction of the face sheets of sandwich plate, metal foam also is considered in this study on the second model of sandwich which containing metal foam core and FGM face sheets. New quasi-3D high shear deformation theory is used here for this investigate; the present kinematic model introduces only six variables with stretching effect by adopting a new indeterminate integral variable in the displacement field. The stability equations are obtained by Hamilton's principle then solved by generalized solution. The effect of Pasternak and Winkler elastic foundations also including here. the present model validated with those found in the open literature, then the impact of different parameters: porosities index, foam cells distribution, boundary conditions, elastic foundation, power law index, ratio aspect, side-to-thickness ratio and different in-plane axial loads on the variation of the buckling behavior are demonstrated.

• 한국재료학회지
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• 제3권3호
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• pp.261-271
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• 1993

4.5 Pb($Zn_{1/3}Nb_{2/3})O_3-40.5Pb(Ni_{1/3}Nb_{2/3})O_3$-55PZT와 PLZT(10/70/30, 11/60/40)를 경사조성으로 하여 경사기능 재료를 제조하였으며, 그 유전 특성과 압전 변형율 특성을 조사하였다. 경사기능재료는 A/B/A의 세층으로 성형하고 소결한 후 한 층을 연마해내어 제작하였다. 닥터블레이드용 슬립에는 acrylic계 유기 결합제가 34-36wt% 혼합되었으며, 건조 후 균열이 없는 양호한 thick film을 제조하였다. $1250^{\circ}C$, 2시간의 소성에 의해 경사기능화된 시편은 Nb와 La등의 조성 차이에 의한 구배를 이루었으며, 구배영역은 약 30${\mu}$m 정도였다. 경사기능재료에서 유전상수나 큐리온도롸 같은 유전특성은 조합한 조성층의 특성들사이의 값을 나타내었다. 인가 전압에 따른 변형율 특성은 단일 조성의 시편보다 현저하게 증가하였다. 실제로 경사기능 압전엑튜에이터를 제조한 결과 약 3${\mu}$m/100V 정도의 변위향을 나타내었다.

• Structural Engineering and Mechanics
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• 제64권1호
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• pp.121-133
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• 2017

This paper proposes an analytical solution method for free vibration of curved functionally graded (FG) nonlocal beam supposed to different thermal loadings, by considering porosity distribution via nonlocal elasticity theory for the first time. Material properties of curved FG beam are assumed to be temperature-dependent. Thermo-mechanical properties of porous FG curved beam are supposed to vary through the thickness direction of beam and are assumed to be temperature-dependent. Since variation of pores along the thickness direction influences the mechanical and physical properties, porosity play a key role in the mechanical response of curved FG structures. The rule of power-law is modified to consider influence of porosity according to even distribution. The governing equations of curved FG porous nanobeam under temperature field are derived via the energy method based on Timoshenko beam theory. An analytical Navier solution procedure is used to achieve the natural frequencies of porous FG curved nanobeam supposed to thermal loadings with simply supported boundary condition. The results for simpler states are confirmed with known data in the literature. The effects of various parameters such as nonlocality, porosity volume fractions, type of temperature rising, gradient index, opening angle and aspect ratio of curved FG porous nanobeam on the natural frequency are successfully discussed. It is concluded that these parameters play key roles on the dynamic behavior of porous FG curved nanobeam. Presented numerical results can serve as benchmarks for future analyses of curve FG nanobeam with porosity phases.

• 한국전기전자재료학회:학술대회논문집
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• 한국전기전자재료학회 2004년도 하계학술대회 논문집 Vol.5 No.2
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• pp.802-805
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• 2004

압전 액츄에이터는 다른 종류의 액츄에이터와 비교할 때 높은 강성, 빠른 응답성의 우수한 특성을 가지고 있다. 벤더형 액츄에이터는 높은 변위의 장점을 가지나 높은 전기장과 기계적 부하인가시에는 내부 응력이 증가하므로서 신뢰성이 감소한다는 단점을 가지고 있다. 이러한 단점을 보완하기 위하여 여러 방법으로 내부 응력을 줄이려는 시도가 있으며 그중 하나는 경사기능 소재나 경사기능 구조를 가지는 액츄에이터의 개발이다. 본 연구에서는 경사기능 특성을 모사한 액츄에이터 구조를 제작하고 그 특성을 조사하였다. 두 가지의 압전상수 d31= - 220 pC/N, d31 =- 100 pC/N를 가지는 세라믹층을 적층하여 벤더형 액츄에이터의 특성을 관찰하였다. 그 결과 두 종류의 세라믹층으로 적층한 액츄에이터가 한가지 특성의 세라믹으로 제작한 액츄에이터 보다 전압인가시 20%이상의 우수한 변위 특성을 나타내었다. 이러한 변화는 내부 응력의 감소에 기인한 것으로 예상된다.

• Steel and Composite Structures
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• 제49권6호
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• pp.603-614
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• 2023

In this paper, frequency analysis of curved functionally graded (FG) nanobeam by consideration of deepness effect has been studied. Differential transform method (DTM) has been used to obtain frequency responses. The nonlocal theory of Eringen has been applied to consider nanoscales. Material properties are supposed to vary in radial direction according to power-law distribution. Differential equations and related boundary conditions have been derived using Hamilton's principle. Finally, by consideration of nonlocal theory, the governing equations have been derived. Natural frequencies have been obtained using semi analytical method (DTM) for different boundary conditions. In order to study the effect of deepness, the deepness term is considered in strain field. The effects of the gradient index, radius of curvature, the aspect ratio, the nonlocal parameter and interaction of aforementioned parameters on frequency value for different boundary conditions such as clamped-clamped (C-C), clamped-hinged (C-H), and clamped-free (C-F) have been investigated. In addition, the obtained results are compared with the results in previous literature in order to validate present study, a good agreement was observed in the present results.

• Steel and Composite Structures
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• 제21권1호
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• pp.1-36
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• 2016

In the present study, the nonlinear magneto-electro-mechanical free vibration behavior of rectangular double-bonded sandwich microbeams based on the modified strain gradient theory (MSGT) is investigated. It is noted that the top and bottom sandwich microbeams are considered with boron nitride nanotube reinforced composite face sheets (BNNTRC-SB) with electrical properties and carbon nanotube reinforced composite face sheets (CNTRC-SB) with magnetic fields, respectively, and also the homogenous core is used for both sandwich beams. The connections of every sandwich beam with its surrounding medium and also between them have been carried out by considering Pasternak foundations. To take size effect into account, the MSGT is introduced into the classical Timoshenko beam theory (CT) to develop a size-dependent beam model containing three additional material length scale parameters. For the CNTRC and BNNTRC face sheets of sandwich microbeams, uniform distribution (UD) and functionally graded (FG) distribution patterns of CNTs or BNNTs in four cases FG-X, FG-O, FG-A, and FG-V are employed. It is assumed that the material properties of face sheets for both sandwich beams are varied in the thickness direction and estimated through the extended rule of mixture. On the basis of the Hamilton's principle, the size-dependent nonlinear governing differential equations of motion and associated boundary conditions are derived and then discretized by using generalized differential quadrature method (GDQM). A detailed parametric study is presented to indicate the influences of electric and magnetic fields, slenderness ratio, thickness ratio of both sandwich microbeams, thickness ratio of every sandwich microbeam, dimensionless three material length scale parameters, Winkler spring modulus and various distribution types of face sheets on the first two natural frequencies of double-bonded sandwich microbeams. Furthermore, a comparison between the various beam models on the basis of the CT, modified couple stress theory (MCST), and MSGT is performed. It is illustrated that the thickness ratio of sandwich microbeams plays an important role in the vibrational behavior of the double-bonded sandwich microstructures. Meanwhile, it is concluded that by increasing H/lm, the values of first two natural frequencies tend to decrease for all amounts of the Winkler spring modulus.

• Composites Research
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• 제16권3호
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• pp.68-74
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• 2003

본 논문에서는 Ni과 Al 금속박판 사이의 자전고온반응을 이용한 금속간화합물/금속 적층복합재료의 제조시 제조공정 조건이 최종 미세조직에 미치는 영향을 연구하였다. 열분석을 통하여 Ni과 Al사이의 반응은 먼저 NiA1$_3$가 핵생성­성장 기구에 의해 생성된 후 다시 Ni$_2$A1$_3$로 확산변태됨을 확인하였다. 자전고온반응을 열역학적으로 해석하여 금속박판의 두께비(Ni:Al) 및 반응전 열처리와 반응후 미세조직에서 잔류한 Al의 부피분율과의 관계를 정립하였다. 후열처리 공정에 의해 Ni/Nl$_3$Al/NiAl의 적층구조와 각 두께비에서 82%(1:1), 59.5%(2:1), 40%(4:1)의 부피분율을 가지는 금속간화합물/금속적층복합재료를 얻을 수 있었다.

• Geomechanics and Engineering
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• 제32권2호
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• pp.159-177
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• 2023

In the present work, a simple and refined shear deformation theory is used to analyze the effect of visco-elastic foundation on the buckling response of exponentially-gradient sandwich plates under various boundary conditions. The proposed theory includes indeterminate integral variables kinematic with only four generalized parameters, in which no shear correction factor is used. The visco-Pasternak's foundation is taken into account by adding the influence of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pasternak's foundation modulus. The four governing equations for FGM sandwich plates are derived by employing principle of virtual work. To solve the buckling problem, Galerkin's approach is utilized for FGM sandwich plates for various boundary conditions. The analytical solutions for critical buckling loads of several types of powerly graded sandwich plates resting on visco-Pasternak foundations under various boundary conditions are presented. Some numerical results are presented to indicate the effects of inhomogeneity parameter, elastic foundation type, and damping coefficient of the foundation, on the critical buckling loads.

• Steel and Composite Structures
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• 제49권5호
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• pp.487-502
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• 2023

In the realm of nanotechnology, the nonlocal strain gradient theory takes center stage as it scrutinizes the behavior of spinning cantilever nanobeams and nanotubes, pivotal components supporting various mechanical movements in sport structures. The dynamics of these structures have sparked debates within the scientific community, with some contending that nonlocal cantilever models fail to predict dynamic softening, while others propose that they can indeed exhibit stiffness softening characteristics. To address these disparities, this paper investigates the dynamic response of a nonlocal cantilever cylindrical beam under the influence of external discontinuous dynamic loads. The study employs four distinct models: the Euler-Bernoulli beam model, Timoshenko beam model, higher-order beam model, and a novel higher-order tube model. These models account for the effects of functionally graded materials (FGMs) in the radial tube direction, giving rise to nanotubes with varying properties. The Hamilton principle is employed to formulate the governing differential equations and precise boundary conditions. These equations are subsequently solved using the generalized differential quadrature element technique (GDQEM). This research not only advances our understanding of the dynamic behavior of nanotubes but also reveals the intriguing phenomena of both hardening and softening in the nonlocal parameter within cantilever nanostructures. Moreover, the findings hold promise for practical applications, including drug delivery, where the controlled vibrations of nanotubes can enhance the precision and efficiency of medication transport within the human body. By exploring the multifaceted characteristics of nanotubes, this study not only contributes to the design and manufacturing of rotating nanostructures but also offers insights into their potential role in revolutionizing drug delivery systems.