• 제목/요약/키워드: functionally graded materials (FGM)

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Optimization of flexure stiffness of FGM beams via artificial neural networks by mixed FEM

  • Madenci, Emrah;Gulcu, Saban
    • Structural Engineering and Mechanics
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    • 제75권5호
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    • pp.633-642
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    • 2020
  • Artificial neural networks (ANNs) are known as intelligent methods for modeling the behavior of physical phenomena because of it is a soft computing technique and takes data samples rather than entire data sets to arrive at solutions, which saves both time and money. ANN is successfully used in the civil engineering applications which are suitable examining the complicated relations between variables. Functionally graded materials (FGMs) are advanced composites that successfully used in various engineering design. The FGMs are nonhomogeneous materials and made of two different type of materials. In the present study, the bending analysis of functionally graded material (FGM) beams presents on theoretical based on combination of mixed-finite element method, Gâteaux differential and Timoshenko beam theory. The main idea in this study is to build a model using ANN with four parameters that are: Young's modulus ratio (Et/Eb), a shear correction factor (ks), power-law exponent (n) and length to thickness ratio (L/h). The output data is the maximum displacement (w). In the experiments: 252 different data are used. The proposed ANN model is evaluated by the correlation of the coefficient (R), MAE and MSE statistical methods. The ANN model is very good and the maximum displacement can be predicted in ANN without attempting any experiments.

분말야금으로 제작된 M2 공구강과 Cu 간 기능성 경사 복합재의 물성 평가 (Property Estimation of Functionally Graded Materials Between M2 Tool Steel and Cu Fabricated by Powder Metallurgy)

  • 정종설;신기훈
    • 대한기계학회논문집A
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    • 제38권9호
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    • pp.953-958
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    • 2014
  • 형상적응형 냉각회로를 구비한 사출금형 및 히트 싱크를 가지는 절삭공구 (혹은 냉각 장치) 등과 같은 많은 응용 분야에서 기능성 경사 복합재(FGM)를 사용하여 필요한 강성을 약화시키지 않으면서 열전도 특성을 향상 시킬 수 있을 것으로 기대된다. 본 논문에서는 M2 공구강과 Cu 간의 FGM 히트 싱크를 가지는 절삭 공구 제작을 위한 기초연구로, M2 와 Cu 를 각각 100:0, 80:20, 60:40, 40:60, 20:80, 0:100 wt% 비율로 사전에 혼합한 금속분말을 분말야금법으로 가압성형 및 소결 제작 하였다. 각 시편의 단면을 광학현미경으로 관찰하여 소결 상태를 분석하였으며, 열전도도, 비열 및 열팽창계수 등 열전달 관련물성을 측정하고 분석하였다.

레이저 적층조형을 이용한 P21 툴 스틸과 Cu 간 기능성 경사 복합재의 제작 (Fabrication of Functionally Graded Materials Between P21 Tool Steel and Cu by Using Laser-Aided Layered Manufacturing)

  • 정종설;신기훈
    • 대한기계학회논문집A
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    • 제37권1호
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    • pp.61-66
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    • 2013
  • 적층조형 방법의 개발로 열전도성 금형 혹은 형상적응형 냉각회로를 구비한 금형의 제작이 가능하게 되었다. 금형의 재질로 치수변화가 적은 P21 툴 스틸이 널리 사용되고 있지만, 열전도율이 낮기 때문에 냉각효율은 높지 않다. 이러한 점에서 열전달 효율을 극대화 시킬 수 있는 방법으로 P21 스틸과 구리(Cu)를 기능적으로 혼합한 기능성 경사 복합재(FGM)를 사용하는 방법이 검토되고 있다. 본 논문에서는 FGM 구조를 가지는 금형의 적층조형을 위한 예비연구로 P21-Cu 간의 1 차원 FGM 을 DMT 장비를 이용하여 제작하고, 열전달 관련 물성치를 평가하였다.

Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer

  • Volkov, Sergey S.;Litvinenko, Alexander N.;Aizikovich, Sergey M.;Wang, Yun-Che;Vasiliev, Andrey S.
    • Structural Engineering and Mechanics
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    • 제59권2호
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    • pp.227-241
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    • 2016
  • A circular plate with constant thickness, finite radius and stiff edge lying on an elastic halfspace is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision.

Transient thermo-mechanical response of a functionally graded beam under the effect of a moving heat source

  • Al-Huniti, Naser S.;Alahmad, Sami T.
    • Advances in materials Research
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    • 제6권1호
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    • pp.27-43
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    • 2017
  • The transient thermo-mechanical behavior of a simply-supported beam made of a functionally graded material (FGM) under the effect of a moving heat source is investigated. The FGM consists of a ceramic part (on the top), which is the hot side of the beam as the heat source motion takes place along this side, and a metal part (in the bottom), which is considered the cold side. Grading is in the transverse direction, with the properties being temperature-dependent. The main steps of the thermo-elastic modeling included deriving the partial differential equations for the temperatures and deflections in time and space, transforming them into ordinary differential equations using Laplace transformation, and finally using the inverse Laplace transformation to find the solutions. The effects of different parameters on the thermo-mechanical behavior of the beam are investigated, such as the convection coefficient and the heat source intensity and speed. The results show that temperatures, and hence the deflections and stresses increase with less heat convection from the beam surface, higher heat source intensity and low speeds.

3D buckling analysis of FGM sandwich plates under bi-axial compressive loads

  • Wu, Chih-Ping;Liu, Wei-Lun
    • Smart Structures and Systems
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    • 제13권1호
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    • pp.111-135
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    • 2014
  • Based on the Reissner mixed variational theorem (RMVT), finite rectangular layer methods (FRLMs) are developed for the three-dimensional (3D) linear buckling analysis of simply-supported, fiber-reinforced composite material (FRCM) and functionally graded material (FGM) sandwich plates subjected to bi-axial compressive loads. In this work, the material properties of the FGM layers are assumed to obey the power-law distributions of the volume fractions of the constituents through the thickness, and the plate is divided into a number of finite rectangular layers, in which the trigonometric functions and Lagrange polynomials are used to interpolate the in- and out-of-plane variations of the field variables of each individual layer, respectively, and an h-refinement process is adopted to yield the convergent solutions. The accuracy and convergence of the RMVT-based FRLMs with various orders used for expansions of each field variables through the thickness are assessed by comparing their solutions with the exact 3D and accurate two-dimensional ones available in the literature.

가스절연 개폐장치의 고체 스페이서에 대한 유전율 경사기능성 재료의 영향 (Effect of Permittivity Functionally Graded Materials on Solid Spacer in Gas Insulated Switchgear)

  • 주흥진;김봉석;황휘동;박정호;최승길;고광철
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 제39회 하계학술대회
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    • pp.1364-1365
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    • 2008
  • 가스 절연 개폐장치(Gas Insulated Switchgear)의 고체 스페이서에 다양한 유전율 분포를 가진 경사기능성 재료(Functionally Graded Material)를 적용할 때, 전계의 완화를 예상할 수 있다. FGM 스페이서는 전계의 집중을 완화시킬 수 있고, 내부의 전계를 더 균일하게 분포시킬 수 있다. 본 연구에서는 유한요소법을 이용하여 상용 GIS의 FGM 스페이서에서 전계의 세기를 계산하였다. 계산 결과를 통해 스페이서의 유전율이 빠르게 변화하는 경우, 더 효율적으로 최대전계를 감소시켰고, 스페이서 내부의 전계를 균일하게 하였다. 결과적으로 FGM 스페이서는 단일 유전율을 가진 스페이서에 비해 절연 성능을 향상시킬 수 있다.

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Influence of the distribution shape of porosity on the bending FGM new plate model resting on elastic foundations

  • Hadj, Bekki;Rabia, Benferhat;Daouadji, Tahar Hassaine
    • Structural Engineering and Mechanics
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    • 제72권1호
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    • pp.61-70
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    • 2019
  • The functionally graded materials (FGM) used in plates contain probably a porosity volume fraction which needs taking into account this aspect of imperfection in the mechanical bahavior of such structures. The present work aims to study the effect of the distribution forms of porosity on the bending of simply supported FG plate reposed on the Winkler-Pasternak foundation. A refined theory of shear deformation is developed to study the effect of the distribution shape of porosity on static behavior of FG plates. It was found that the distribution form of porosity significantly influence the mechanical behavior of FG plates, in terms of deflection, normal and shear stress. It can be concluded that the proposed theory is simple and precise for the resolution of the behavior of flexural FGM plates resting on elastic foundations while taking into account the shape of distribution of the porosity.

Thermal vibration analysis of FGM beams using an efficient shear deformation beam theory

  • Safa, Abdelkader;Hadji, Lazreg;Bourada, Mohamed;Zouatnia, Nafissa
    • Earthquakes and Structures
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    • 제17권3호
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    • pp.329-336
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    • 2019
  • An efficient shear deformation beam theory is developed for thermo-elastic vibration of FGM beams. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the on the surfaces of the beam without using shear correction factors. The material properties of the FGM beam are assumed to be temperature dependent, and change gradually in the thickness direction. Three cases of temperature distribution in the form of uniformity, linearity, and nonlinearity are considered through the beam thickness. Based on the present refined beam theory, the equations of motion are derived from Hamilton's principle. The closed-form solutions of functionally graded beams are obtained using Navier solution. Numerical results are presented to investigate the effects of temperature distributions, material parameters, thermal moments and slenderness ratios on the natural frequencies. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

Nonlinear forced vibration of axially moving functionally graded cylindrical shells under hygro-thermal loads

  • Jin-Peng Song;Gui-Lin She;Yu-Jie He
    • Geomechanics and Engineering
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    • 제36권2호
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    • pp.99-109
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    • 2024
  • Studying the dynamic behavior of axially moving cylindrical shells in hygro-thermal environments has important theoretical and engineering value for aircraft design. Therefore, in this paper, considering hygro-thermal effect, the nonlinear forced vibration of an axially moving cylindrical shell made of functionally graded materials (FGM) is studied. It is assumed that the material properties vary continuously along the thickness and contain pores. The Donnell thin shell theory is used to derive the motion equations of FGM cylindrical shells with hygro-thermal loads. Under the four sides clamped (CCCC) boundary conditions, the Gallekin method and multi-scale method are used for nonlinear analysis. The effects of power law index, porosity coefficient, temperature rise, moisture concentration, axial velocity, prestress, damping and external excitation amplitude on nonlinear forced vibration are explored through parametric research. It can be found that, the changes in temperature and humidity have a significant effect. Increasing in temperature and humidity will cause the resonance position to shift to the left and increase the resonance amplitude.