• Steel and Composite Structures
• /
• 제44권4호
• /
• pp.451-471
• /
• 2022

In the present paper, the static bending and buckling responses of functionally graded carbon nanotubes-reinforced composite (FG-CNTRC) beam under various boundary conditions are investigated within the framework of higher shear deformation theory. The significant feature of the proposed theory is that it provides an accurate parabolic distribution of transverse shear stress through the thickness satisfying the traction-free boundary conditions needless of any shear correction factor. Uniform (UD) and four graded distributions of CNTs which are FG-O, FG-X, FG- and FG-V are selected here for the analysis. The effective material properties of FG-CNTRC beams are estimated according to the rule of mixture. To model the FG-CNTRC beam realistically, an efficient Hermite-Lagrangian finite element formulation is successfully developed. The accuracy and efficiency of the present model are demonstrated by comparison with published benchmark results. Moreover, comprehensive numerical results are presented and discussed in detail to investigate the effects of CNTs volume fraction, distribution patterns of CNTs, boundary conditions, and length-to-thickness ratio on the bending and buckling responses of FG-CNTRC beam. Several new referential results are also reported for the first time which will serve as a benchmark for future studies in a similar direction. It is concluded that the FG-X-CNTRC beam is the strongest beam that carries the lowest central deflection and is followed by the UD, V, Λ, and FG-O-CNTRC beam. Besides, the critical buckling load belonging to the FG-X-CNTRC beam is the highest, followed by UD and FG-O.

• Geomechanics and Engineering
• /
• 제31권1호
• /
• pp.99-112
• /
• 2022

The present study examines the natural frequencies (NFs) of perfect/imperfect functionally graded sandwich beams (P/IP-FGSBs), which are composed of a porous core constructed of functionally graded materials (FGMs) and a homogenous isotropic metal and ceramic face sheets resting on elastic foundations. To accomplish this, the material properties of the FGSBs are assumed to vary continuously along the thickness direction as a function of the volume fraction of constituents expressed by the modified rule of the mixture, which includes porosity volume fraction represented using four distinct types of porosity distribution models. Additionally, to characterize the reaction of the two-parameter elastic foundation to the Perfect/Imperfect (P/IP) FGSBs, the medium is assumed to be linear, homogeneous, and isotropic, and it is described using the Winkler-Pasternak model. Furthermore, the kinematic relationship of the P/IP-FGSBs resting on the Winkler-Pasternak elastic foundations (WPEFs) is described using trigonometric shear deformation theory (TrSDT), and the equations of motion are constructed using Hamilton's principle. A closed-form solution is developed for the free vibration analysis of P/IP-FGSBs resting on the WPEFs under four distinct boundary conditions (BCs). To validate the new formulation, extensive comparisons with existing data are made. A detailed investigation is carried out for the effects of the foundation coefficients, mode numbers (MNs), porosity volume fraction, power-law index, span to depth ratio, porosity distribution patterns (PDPs), skin core skin thickness ratios (SCSTR), and BCs on the values of the NFs of the P/IP-FGSBs.

• Advances in nano research
• /
• 제16권3호
• /
• pp.289-301
• /
• 2024

In this work, an analytical model employing a new higher-order shear deformation beam theory is utilized to investigate the bending behavior of axially randomly oriented functionally graded carbon nanotubes reinforced composite nanobeams. A modified continuum nonlocal strain gradient theory is employed to incorporate both microstructural effects and geometric nano-scale length scales. The extended rule of mixture, along with molecular dynamics simulations, is used to assess the equivalent mechanical properties of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) beams. Carbon nanotube reinforcements are randomly distributed axially along the length of the beam. The equilibrium equations, accompanied by nonclassical boundary conditions, are formulated, and Navier's procedure is used to solve the resulting differential equation, yielding the response of the nanobeam under various mechanical loadings, including uniform, linear, and sinusoidal loads. Numerical analysis is conducted to examine the influence of inhomogeneity parameters, geometric parameters, types of loading, as well as nonlocal and length scale parameters on the deflections and stresses of axially functionally graded carbon nanotubes reinforced composite (AFG CNTRC) nanobeams. The results indicate that, in contrast to the nonlocal parameter, the beam stiffness is increased by both the CNTs volume fraction and the length-scale parameter. The presented model is applicable for designing and analyzing microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS) constructed from carbon nanotubes reinforced composite nanobeams.

• Advances in nano research
• /
• 제16권5호
• /
• pp.509-519
• /
• 2024

In this study, the static analysis of carbon nanotube-reinforced composites (CNTRC) beams resting on a Winkler-Pasternak elastic foundation is presented. The developed theories account for higher-order variation of transverse shear strain through the depth of the beam and satisfy the stress-free boundary conditions on the top and bottom surfaces of the beam. To study the effect of carbon nanotubes distribution in functionally graded (FG-CNT), we introduce in the equation of CNT volume fraction a new exponent equation. The SWCNTs are assumed to be aligned and distributed in the polymeric matrix with different patterns of reinforcement. The rule of mixture is used to describe the material properties of the CNTRC beams. The governing equations were derived by employing Hamilton's principle. The models presented in this work are numerically provided to verify the accuracy of the present theory. The analytical solutions are presented, and the obtained results are compared with the existing solutions to verify the validity of the developed theories. Many parameters are investigated, such as the Pasternak shear modulus parameter, the Winkler modulus parameter, the volume fraction, and the order of the exponent in the volume fraction equation. New results obtained from bending and stresses are presented and discussed in detail. From the obtained results, it became clear the influence of the exponential CNTs distribution and Winkler-Pasternak model improved the mechanical properties of the CNTRC beams.

• 한국재료학회지
• /
• 제11권5호
• /
• pp.419-426
• /
• 2001

AgGaSe$_2$ 단결정 박막은 수평 전기로에서 합성한 $AgGaSe_2$ 다결정을 증발원으로 하여, hot wall epitaxy (HWE) 방법으로 증발원과 기판 (반절연성-GaAs(100)) 의 온도를 각각 $630^{\circ}C$, $420^{\circ}C$로 고정하여 박막 결정 성장을 하였다. 10K에서 측정한 광발광 excition 스펙트럼과 이중결정 X-선 요동곡선 (DCRC) 의 반치폭 (FWHM )을 분석하여 단결정 박막의 최적 성장 조건을 얻었다. Hall효과는 van der Pauw 방법에 의해 측정되었으며, 온도에 의존하는 운반자 농도와 이동도는 293k에서 각각 4.89$\times$$10^{ 16}$/㎤, 129$\textrm{cm}^2$/V.s였다. 광전류 봉우리의 10K에서 단파장대의 가전자대 갈라짐 (splitting)에 의해서 측정된 $\Delta$C$_{r}$ (crystal field splitting)은 0.1762eV, $$\Delta$S_{o}$ (spin orbit splitting)는 0.2494eV였다 10K의 광발광 측정으로부터 고풍질의 결정에서 볼 수 있는 free excitors과 매우 강한 세기의 중성 주개 bound excitors등의 피크가 관찰되었다. 이때 중성 주개 bound ekciton의 반치폭과 결합에너지는 각각 BmeV와 14.1meV였다. 또한 Haynes rule에 의해 구한 불순물의 활성화 에너지는 141meV였다.rule에 의해 구한 불순물의 활성화 에너지는 141meV였다.

• Computers and Concrete
• /
• 제11권2호
• /
• pp.123-148
• /
• 2013

The nonlinear finite element method with eight noded isoparametric quadrilateral element for concrete and two noded element for reinforcement is used for the prediction of the behavior of reinforcement concrete structures. The disturbed state concept (DSC) including the hierarchical single surface (HISS) plasticity model with associated flow rule with modifications is used to characterize the constitutive behavior of concrete both in compression and in tension which is named DSC/HISS-CT. The HISS model is applied to shows the plastic behavior of concrete, and DSC for microcracking, fracture and softening simulations of concrete. It should be noted that the DSC expresses the behavior of a material element as a mixture of two interacting components and can include both softening and stiffening, while the classical damage approach assumes that cracks (damage) induced in a material treated acts as a void, with no strength. The DSC/HISS-CT is a unified model with different mechanism, which expresses the observed behavior in terms of interacting behavior of components; thus the mechanism in the DSC is much different than that of the damage model, which is based on physical cracks which has no strength and interaction with the undamaged part. This is the first time the DSC/HISS-CT model, with the capacity to account for both compression and tension yields, is applied for concrete materials. The DSC model allows also for the characterization of non-associative behavior through the use of disturbance. Elastic perfectly plastic behavior is assumed for modeling of steel reinforcement. The DSC model is validated at two levels: (1) specimen and (2) practical boundary value problem. For the specimen level, the predictions are obtained by the integration of the incremental constitutive relations. The FE procedure with DSC/HISS-CT model is used to obtain predictions for practical boundary value problems. Based on the comparisons between DSC/HISS-CT predictions, test data and ANSYS software predictions, it is found that the model provides highly satisfactory predictions. The model allows computation of microcracking during deformation leading to the fracture and failure; in the model, the critical disturbance, Dc, identifies fracture and failure.

• 마이크로전자및패키징학회지
• /
• 제22권4호
• /
• pp.65-70
• /
• 2015

히트 싱크용 소재에 응용할 목적으로 단층금속과 2층 단면구조 복합재료에 대해 열전도 특성을 연구하였다. 단층금속으로는 알루미늄합금(Al6061)을 사용했으며, 2층 단면구조 복합재료로는 Al6061기판에 질화알루미늄(AlN)을 스크린 인쇄한 층상구조 복합재료를 선택하였다. 섬광법으로 측정한 열확산계수와 비열 및 밀도를 사용해서 열전도도를 측정하였다. 실험을 통해 얻은 열전도 특성 값을 참고문헌에 보고된 자료를 사용해 계산한 값과 비교하였다. Al6061 기판에 스크린인쇄법으로 AlN 후막을 형성시킨 2층 단면구조 복합재료 시편의 열전도도는 AlN 후막의 두께가 증가할수록 선형적으로 감소하였다. 측정한 복합재료의 열전도도는 두께가 $53{\mu}m$과 $163{\mu}m$일 때, 각각 $114.1W/m{\cdot}K$와 $72.3W/m{\cdot}K$로 나타났다. 또한, 스크린 인쇄한 AlN 후막의 열전도도를 열전도비저항에 대한 혼합법칙을 적용해서 평가하였다. AlN 후막의 두께가 $53{\mu}m$와 $163{\mu}m$인 경우, 스크린 인쇄한 AlN 후막의 열전도도는 각각 $9.35W/m{\cdot}K$와 $12.40W/m{\cdot}K$로 나타났다.

• 한국해양환경ㆍ에너지학회지
• /
• 제7권1호
• /
• pp.42-46
• /
• 2004

해양심층수는 겨울철 표층수의 냉각으로 인하여 동해 고위도 지역인 극 지역에서 형성된 후 점차로 표층수와 혼합이 차단된 상태로 순환한다. 하구역 혼합만큼 뚜렷하지는 않지만, 지하염수는 순환해수와 지하수의 혼합물기다 높은 삼투압을 가지고 있는 해수는 바다와 연결된 대수층으로 스며들어 지하수와 혼합하게 된다. 해양심층수와 지하염수의 자원특성을 파악하기 위하여 이들 수괴의 기원과 성분 및 각 수자원에 대한 수질 특성과 자원 안정성을 조사하였다. 해수 중 산소와 수소 동위원소 비는 0‰, 인 반면, 지하염수는 지표수의 순환선(meteoric water line) 위에 있거나, 벗어나는 경우도 있다. 이러한 현상은 두 수괴가 다른 기원을 가지고 있다는 것을 의미한다. 해수에 용존 된 주성분 이온(Na, Ca, Mg, K) 들은 각각 일정한 성분비를 이루고 있다. 그러나 지하염수에서 이들 주성분 원소들의 일정성분비의 법칙이 성립하지 않는 것이 관측되었다. 그 이유는 주변 토양과 지하수 사이의 화학적 반응에 기인한다. 또한 해양심층수는 지하염수에 비하여 기능성 미량 원소들이 풍부하고 생물학적 친하력이 높은 반면, 유해한 박테리아와 인공 오염물이 적은 특성을 가지고 있으며, 자원적인 측면에서도 안정성을 가지고 있다.

• 한국전기전자재료학회:학술대회논문집
• /
• 한국전기전자재료학회 2004년도 추계학술대회 논문집 Vol.17
• /
• pp.175-178
• /
• 2004

The stochiometric mixture of evaporating materials for the $ZnIn_2S_4$ single crystal thin film was prepared from horizontal furnace. To obtain the $ZnIn_2S_4$ single crystal thin film, $ZnIn_2S_4$ mixed crystal was deposited on throughly etched semi-insulating GaAs(100) in the Hot Wall Epitaxy(HWE) system. The source and substrate temperature were $610^{\circ}C$ and $450^{\circ}C$, respectively and the growth rate of the $ZnIn_2S_4$ sing1e crystal thin film was about $0.5\;{\mu}m/hr$. The crystalline structure of $ZnIn_2S_4$ single crystal thin film was investigated by photoluminescence and double crystal X-ray diffraction(DCXD) measurement. The carrier density and mobility of $ZnIn_2S_4$ single crystal thin film measured from Hall effect by van der Pauw method are $8.51{\times}10^{17}\;cm^{-3}$, $291\;cm^2/V{\cdot}s$ at $293_{\circ}\;K$, respectively. From the photocurrent spectrum by illumination of perpendicular light on the c - axis of the $ZnIn_2S_4$ single crystal thin film, we have found that the values of spin orbit splitting ${\Delta}S_O$ and the crystal field splitting ${\Delta}Cr$ were 0.0148 eV and 0.1678 eV at $10_{\circ}\; K$, respectively. From the photoluminescence measurement of $ZnIn_2S_4$ single crystal thin film, we observed free excition $(E_X)$ typically observed only in high quality crystal and neutral donor bound exciton $(D^{o},X)$ having very strong peak intensity The full width at half maximum and binding energy of neutral donor bound excition were 9 meV and 26 meV, respectively, The activation energy of impurity measured by Haynes rule was 130 meV.

• 폴리머
• /
• 제33권3호
• /
• pp.224-229
• /
• 2009

가교체의 종류에 따른 semi-IPN(interpenetrating polymer network) poly(Phenylene oxide)(PPO) 블렌드와 $BaTiO_3$(BT) 복합재료의 유전특성을 조사하였다. PPO와 BT를 톨루엔에 분산하고 MEK 용매에 석출하여 얻어진 precursor PPO 복합재료에, 가교체와 과산화물을 용융혼합하는 방법으로 복합재료를 제조하였다. Precursor PPO 복합재료는 PPO와 BT를 단순히 용융혼합한 복합재료보다 높은 유전율을 나타냈으며 대수혼합법칙에 의한 이론값과도 일치하였다. 가교체로서 triallyl isocyanurate의 도입에 의해 PPO 수지의 배향분극이 감소하여 유전율과 유전손실 모두 크게 감소하였다. 4,4'-(1,3-phenylene diisopropylidene)bisaniline (Bisaniline)을 2,2-bis(4-cyanatophenyl)propane(CPP)와 혼합하여 가교하였을 경우에는 Bisaniline의 아민기에 의해 유전율과 손실이 증가하였으나, 치밀한 수지 조직과 충전제 계면상태를 관찰할 수 있었으며, 이것으로부터 굴곡강도와 탄성률이 향상된다는 것을 설명할 수 있었다.