• 제목/요약/키워드: Functionally Gradient Material

검색결과 180건 처리시간 0.019초

Characterization of SiC/C Functionally Gradient Materials Growth Process by CVD Technique

  • Park, Chinho;Lee, Jinwook;Jung, Soon-Deuk;Yi, Sung-Chul;Kim, Yootaek
    • 한국결정성장학회:학술대회논문집
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    • 한국결정성장학회 1997년도 Proceedings of the 12th KACG Technical Meeting and the 4th Korea-Japan EMGS (Electronic Materials Growth Symposium)
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    • pp.7-11
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    • 1997
  • SiC/C functionally gradient material (FGMs) were formed on graphite substrates by hot-wall chemical vapor deposition (CVD) technique using the SiCl$_4$-C$_3$H8-H$_2$ chemistry. Thermochemical equilibrium calculations were carried out to investigate the deposition process. The effect of process variables on the deposition yield and the SiC/C ratio in deposited layers was studied in detail. Calculated results showed a reasonable agreement with the experiment in a qualitative sense. SiC/C FGMs with excellent mechanical and thermal properties could be successfully formed on graphite substrates by carefully controlling the compositions in the deposited layers.

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Large amplitude free vibration analysis of functionally graded nano/micro beams on nonlinear elastic foundation

  • Setoodeh, AliReza;Rezaei, Mohammad
    • Structural Engineering and Mechanics
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    • 제61권2호
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    • pp.209-220
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    • 2017
  • The purpose of this paper is to study the geometrically nonlinear free vibration of functionally graded nano/micro beams (FGNBs) based on the modified couple stress theory. For practical applications, some analytical expressions of nonlinear frequencies for FGNBs on a nonlinear Pasternak foundation are developed. Hamilton's principle is employed to obtain nonlinear governing differential equations in the context of both Euler-Bernoulli and Timoshenko beam theories for a comprehensive investigation. The modified continuum theory contains one material length scale parameter to capture the size effect. The variation of two-constituent material along the thickness is modeled using Reddy's power-law. Also, the Mori-Tanaka method as an accurate homogenization technique is implemented to estimate the effective material properties of the FGNBs. The results are presented for both hinged-hinged and clamped-clamped boundary conditions. The nonlinear partial differential equations are reduced to ordinary differential equations using Galerkin method and then the powerful method of homotopy analysis is utilized to obtain the semi-analytical solutions. Eventually, the presented analytical expressions are used to examine the influences of the length scale parameter, material gradient index, and elastic foundation on the nonlinear free vibration of FGNBs.

운전온도와 세라믹 입자크기를 고려한 회전하는 경사기능성 가스터빈 블레이드의 응력해석 (Temperature-Dependent Stress Analysis of Rotating Functionally Graded Material Gas Turbine Blade Considering Operating Temperature and Ceramic Particle Size)

  • 이기복;유홍희
    • 대한기계학회논문집A
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    • 제38권2호
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    • pp.193-203
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    • 2014
  • 터빈의 운전온도와 세라믹 입자크기를 고려한 경사기능재료(FGM)로 만들어진 회전하는 가스터빈 블레이드의 열전달해석 및 응력해석을 수행하였다. 경사기능성 블레이드는 벽 두께에 따라서 연속적인 재료물성 변화를 나타낸다. 이러한 경사기능재료의 특성과 온도에 따른 열전 재료물성 변화를 고려하여 블레이드의 시스템 강성을 얻기 위해 블레이드의 열전달해석을 먼저 수행하였다. 이 열전달해석으로 얻은 시스템 강성으로부터 복합 변형 변수를 사용한 회전하는 가스터빈 블레이드의 운동방정식을 유도하였다. 유도된 운동방정식은 상용 유한요소 모델과 해석결과 비교를 통해 그 정확성을 입증하였으며 회전주파수와 구배 지수에 따른 최대 응력의 변화를 조사하였다. 또한, 열전달해석을 통해 가장 낮은 블레이드 온도를 나타내는 구배 지수를 조사하였다.

Vibration analysis of nonlocal strain gradient porous FG composite plates coupled by visco-elastic foundation based on DQM

  • Abdulrazzaq, Mohammed Abdulraoof;Muhammad, Ahmed K.;Kadhim, Zeyad D.;Faleh, Nadhim M.
    • Coupled systems mechanics
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    • 제9권3호
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    • pp.201-217
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    • 2020
  • This paper employs differential quadrature method (DQM) and nonlocal strain gradient theory (NSGT) for studying free vibrational characteristics of porous functionally graded (FG) nanoplates coupled by visco-elastic foundation. A secant function based refined plate theory is used for mathematical modeling of the nano-size plate. Two scale factors are included in the formulation for describing size influences based on NSGT. The material properties for FG plate are porosity-dependent and defined employing a modified power-law form. Visco-elastic foundation is presented based on three factors including a viscous layer and two elastic layers.The governing equations achieved by Hamilton's principle are solved implementing DQM. The nanoplate vibration is shown to be affected by porosity, temperature rise,scale factors and viscous damping.

Stresses in FGM pressure tubes under non-uniform temperature distribution

  • Eraslan, Ahmet N.
    • Structural Engineering and Mechanics
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    • 제26권4호
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    • pp.393-408
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    • 2007
  • The effects of material nonhomogeneity and nonisothermal conditions on the stress response of pressurized tubes are assessed by virtue of a computational model. The modulus of elasticity, the Poisson's ratio, the yield strength, and the coefficient of thermal expansion, are assumed to vary nonlinearly in the tube. A logarithmic temperature distribution within the tube is proposed. Under these conditions, it is shown that the stress states and the magnitudes of response variables are affected significantly by both the material nonhomogeneity and the existence of the radial temperature gradient.

The dynamic instability of FG orthotropic conical shells within the SDT

  • Sofiyev, Abdullah H.;Zerin, Zihni;Allahverdiev, Bilender P.;Hui, David;Turan, Ferruh;Erdem, Hakan
    • Steel and Composite Structures
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    • 제25권5호
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    • pp.581-591
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    • 2017
  • The dynamic instability of truncated conical shells subjected to dynamic axial load within first order shear deformation theory (FSDT) is examined. The conical shell is made from functionally graded (FG) orthotropic material. In the formulation of problem a dynamic version of Donnell's shell theory is used. The equations are converted to a Mathieu-Hill type differential equation employing Galerkin's method. The boundaries of main instability zones are found applying the method proposed by Bolotin. To verify these results, the results of other studies in the literature were compared. The influences of material gradient, orthotropy, as well as changing the geometric dimensions on the borders of the main areas of the instability are investigated.

A size-dependent quasi-3D model for wave dispersion analysis of FG nanoplates

  • Karami, Behrouz;Janghorban, Maziar;Shahsavari, Davood;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제28권1호
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    • pp.99-110
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    • 2018
  • In this paper, a new size-dependent quasi-3D plate theory is presented for wave dispersion analysis of functionally graded nanoplates while resting on an elastic foundation and under the hygrothermaal environment. This quasi-3D plate theory considers both thickness stretching influences and shear deformation with the variations of displacements in the thickness direction as a parabolic function. Moreover, the stress-free boundary conditions on both sides of the plate are satisfied without using a shear correction factor. This theory includes five independent unknowns with results in only five governing equations. Size effects are obtained via a higher-order nonlocal strain gradient theory of elasticity. A variational approach is adopted to owning the governing equations employing Hamilton's principle. Solving analytically via Fourier series, these equations gives wave frequencies and phase velocities as a function of wave numbers. The validity of the present results is examined by comparing them with those of the known data in the literature. Parametric studies are conducted for material composition, size dependency, two parametric elastic foundation, temperature and moisture differences, and wave number. Some conclusions are drawn from the parametric studies with respect to the wave characteristics.

Buckling behaviours of functionally graded polymeric thin-walled hemispherical shells

  • Uysal, Mine U.
    • Steel and Composite Structures
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    • 제21권4호
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    • pp.849-862
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    • 2016
  • This paper investigates the static buckling behaviours of Functionally Gradient Polymeric Material (FGPM) shells in the form of hemispherical segment. A new FGPM model based on experimental was considered to investigate the buckling problem of thin-walled spherical shells loaded by the external pressure. The spherical shells were formed by FGPM which was produced adding the two types of graphite powders into epoxy resin. The graphite powders were added to the epoxy resin as volume of 3, 6, 9, and 12%. Halpin-Tsai and Paul models were used to determine the elastic moduli of the parts of FGPM. The detailed static buckling analyses were performed by using finite element method. The influences of the types and volume of graphite powders on the buckling behaviour of the FGPM structures were investigated. The buckling loads of hemispherical FGPM shells based on Halpin-Tsai and Paul models were compared with those determined from the analytical solution of non-graphite condition existing for homogeneous material model. The comparisons between these material models showed that Paul model was overestimated. Besides, the critical buckling loads were predicted. The higher critical buckling loads were estimated for the PV60/65 graphite powder due to the compatible of the PV60/65 graphite powder with resin.

Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles

  • Karami, Behrouz;Janghorban, Maziar;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제27권2호
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    • pp.201-216
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    • 2018
  • In this paper, three-dimensional (3D) elasticity theory in conjunction with nonlocal strain gradient theory (NSGT) is developed for mechanical analysis of anisotropic nanoparticles. The present model incorporates two scale coefficients to examine the mechanical characteristics much accurately. All the elastic constants are considered and assumed to be the functions of (r, ${\theta}$, ${\varphi}$), so all kind of anisotropic structures can be modeled. Moreover, all types of functionally graded spherical structures can be investigated. To justify our model, our results for the radial vibration of spherical nanoparticles are compared with experimental results available in the literature and great agreement is achieved. Next, several examples of the radial vibration and wave propagation in spherical nanoparticles including nonlocal strain gradient parameters are presented for more than 10 different anisotropic nanoparticles. From the best knowledge of authors, it is the first time that 3D elasticity theory and NSGT are used together with no approximation to derive the governing equations in the spherical coordinate. Moreover, up to now, the NSGT has not been used for spherical anisotropic nanoparticles. It is also the first time that all the 36 elastic constants as functions of (r, ${\theta}$, ${\varphi}$) are considered for anisotropic and functionally graded nanostructures including size effects. According to the lack of any common approximations in the displacement field or in elastic constant, present theory can be assumed as a benchmark for future works.