Sensitivity analysis in design of constructions made of functionally graded materials

2012 ◽  
Vol 227 (1) ◽  
pp. 19-28 ◽  
Author(s):  
Igor V Andrianov ◽  
Jan Awrejcewicz ◽  
Alexander A Diskovsky
Keyword(s):  
Sensitivity Analysis ◽  
Functionally Graded Materials ◽  
Functionally Graded Material ◽  
Asymptotic Method ◽  
Functionally Graded ◽  
Asymptotic Solutions ◽  
Graded Materials ◽  
Material Parameters ◽  
Graded Material

This article is focused on analysis of influence of functionally graded material parameters in the problem of longitudinal rod deformations. This analysis is based on exact and asymptotic solutions. Accuracy rating of the proposed asymptotic method of calculating deformations in constructions made of functionally graded material is also given.

The Elastic-Viscoelastic Correspondence Principle for Functionally Graded Materials, Revisited

2003 ◽  
Vol 70 (3) ◽  
pp. 359-363 ◽  
Author(s):  
S. Mukherjee ◽  
Glaucio H. Paulino
Keyword(s):  
Functionally Graded Materials ◽  
Functionally Graded Material ◽  
Correspondence Principle ◽  
Functionally Graded ◽  
Graded Materials ◽  
One Dimensional ◽  
Space And Time ◽  
Graded Material ◽  
Nonhomogeneous Materials ◽  
Exponentially Graded

Paulino and Jin [Paulino, G. H., and Jin, Z.-H., 2001, “Correspondence Principle in Viscoelastic Functionally Graded Materials,” ASME J. Appl. Mech., 68, pp. 129–132], have recently shown that the viscoelastic correspondence principle remains valid for a linearly isotropic viscoelastic functionally graded material with separable relaxation (or creep) functions in space and time. This paper revisits this issue by addressing some subtle points regarding this result and examines the reasons behind the success or failure of the correspondence principle for viscoelastic functionally graded materials. For the inseparable class of nonhomogeneous materials, the correspondence principle fails because of an inconsistency between the replacements of the moduli and of their derivatives. A simple but informative one-dimensional example, involving an exponentially graded material, is used to further clarify these reasons.

Задачи о дисперсии волн в неоднородных волноводах: методы решения (обзор). Часть I

2021 ◽  
Vol 27 (2) ◽  
pp. 227-260
Author(s):  
С. И. Жаворонок ◽  
Keyword(s):  
Functionally Graded Materials ◽  
Functionally Graded Material ◽  
Matrix Method ◽  
Degrees Of Freedom ◽  
Normal Wave ◽  
Wave Dispersion ◽  
Functionally Graded ◽  
Graded Materials ◽  
Generalized Fourier Series ◽  
Graded Material

A brief review of the modern state-of-the art and tendencies of further development of various methods of solution of wave dispersion problems in heterogeneous functionally graded elastic waveguides is presented. Main types of functionally graded materials and structures, including gradient thon-walled structures, and their main engineering applications is discussed. The main difficulties of modelling of the stress-strain state of functionally graded shells and plates are pointed, as well as the possible ways to overcome such difficulties. The main theoretical bases of definition of effective constitutive constants of functionally graded materials and their possible estimates used in the practice are considered. Main dependencies of the effective constitutive constants of a functionally graded material on coordinates used for the mathematical modelling of the dynamics are also shown. The statement of the dynamics problem for a functionally graded waveguide and the appropriate statement of the normal wave dispersion problem are pointed. The presented Part I of the review consider some analytical methods of solution of dispersion problems, mainly the matrix ones based on the formulation of the steady dynamics problem in the image space as a first-order ordinary differential equations system. The state vectors corresponding to the useful Cauchy and Stroh formalisms are introduced, and the appropriate governing equations and the boundary conditions on waveguide’s faces are presented. Classical methods for solving the steady dynamics problem for a laminated waveguide are briefly described, which could be a basis for the further approximation of a functionally graded material by a system of layers with constant properties, i.e. the transfer matrix method, its main modifications developed to ensure the stability of calculations, and the global matrix method. Then, the intensively developed last 15 years reverberation matrix method, stiffness matrix method, and the Peano series method are discussed. Some key solutions of the wave dispersion problems for heterogeneous layers are presented; such solutions improve the efficiency of approximation of a functionally graded structure by a laminated one. The implicit solution of the general problem of steady dynamics for a waveguide with arbitrary gradation law is shown. The key features of the discussed matrix methods are pointed briefly as well as their main drawbacks. In the Part II, the main attention will be paid to methods of semi-analytical solution of dispersion problems based on the approximation of a waveguide by an equivalent system with a finite number of degrees of freedom: power series, generalized Fourier series, semi-analytical finite elements. spectral elements, as well as methods based on various theories of plates and shells.

Fabrication of ZrO2-SUS Functionally Graded Materials by Slip Casting

2008 ◽  
Vol 368-372 ◽  
pp. 1823-1824 ◽  
Author(s):  
Xin He ◽  
Hai Yan Du ◽  
Wei Wang ◽  
Wei Jing ◽  
Chang Liu
Keyword(s):  
Mechanical Properties ◽  
Chemical Composition ◽  
Functionally Graded Materials ◽  
Functionally Graded Material ◽  
Slip Casting ◽  
Functionally Graded ◽  
Metal Interface ◽  
Graded Materials ◽  
Metal Joint ◽  
Graded Material

TZP/SUS304 functionally graded material (FGM) was developed by slip casting. Microscopic observations demonstrated that the chemical composition and microstructure of TZP/SUS FGM distributed gradually in stepwise way, eliminating the macroscopic ceramic/metal interface occurred in traditional ceramic/metal joint. Each interface of layers connected well without evident defects, and the mechanical properties of TZP/SUS system strongly depended on constitutional variation.

Numerical and experimental analysis of Cu–Fe functionally graded beam subjected to tensile loading

2020 ◽  
Vol 234 (19) ◽  
pp. 3837-3845
Author(s):  
Maryam Torabian ◽  
Seyed Mohammad Reza Khalili
Keyword(s):  
Finite Element ◽  
Tensile Strength ◽  
Functionally Graded Materials ◽  
Functionally Graded Material ◽  
Tensile Loading ◽  
Functionally Graded ◽  
Tensile Behaviour ◽  
Functionally Graded Beam ◽  
Graded Materials ◽  
Graded Material

Functionally graded materials are new types of composites with heterogeneous microstructure in which some particular physical and mechanical properties change continuously in the thickness direction. In this research, a five-layer copper–iron functionally graded material was fabricated by changing the composition of the layers in a stepwise function between copper and iron using powder metallurgy method. The effect of fabrication process on the microstructure and tensile strength of functionally graded beam was investigated by using two types of presses: uniaxial press and cold iso-static press. Microscopic studies demonstrated appropriate connections between the layers and particles. To achieve ultimate tensile strength and strain, functionally graded copper–iron specimens were tested in tensile loading. The stress–strain graphs obtained from the test showed enhancement in tensile strength of copper and iron functionally graded beam compared to pure copper and iron beams. Finally, a model of this functionally graded material was analysed in ABAQUS finite element code, and the results were verified by experimental tests. Therefore, the present finite element model would be useful to investigate tensile behaviour of functionally graded materials.

Properties of Cu-W Functionally Graded Materials Produced by Segregation and Infiltration

2005 ◽  
Vol 492-493 ◽  
pp. 123-128 ◽  
Author(s):  
D. Janković Ilić ◽  
J. Fiscina ◽  
C.J.R. González-Oliver ◽  
F. Mücklich
Keyword(s):  
Electrical Resistivity ◽  
Functionally Graded Materials ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
Pressureless Sintering ◽  
Graded Materials ◽  
Different Types ◽  
Graded Material ◽  
Sintering Mechanisms ◽  
Vibration Time

The Cu/W functionally graded material (FGM) was produced by vibration of W agglomerates in order to obtain the W skeleton with a gradient in porosity, which after pressureless sintering was infiltrated with molten Cu. Certain sintering mechanisms are suggested for these complex W structures. The segregation of two different sizes of W agglomerates was controlled by vibration time. Different vibration duration resulted in different types of microstructure: skeleton type microstructure after shorter vibration time and graded type microstructure after extended vibration times. The final Cu-infiltrated FGMs were characterized microstructurally and their electrical resistivity (r) was measured using the 4-probe technique. The values of r were in between those for pure W and Cu, depending strongly on the vibration times of the initial W agglomerates, and exhibiting particular r vs. T (K) behavior.

Incremental Melting and Solidification Process/Mechanical Characterization of Functionally Graded Al-Si Alloys

2008 ◽  
Vol 587-588 ◽  
pp. 400-404
Author(s):  
P. Pinto ◽  
L. Mazare ◽  
Delfim Soares ◽  
F.S. Silva
Keyword(s):  
Mechanical Properties ◽  
Functionally Graded Materials ◽  
Phase Distribution ◽  
Solidification Process ◽  
Functionally Graded ◽  
Graded Materials ◽  
Graded Material ◽  
Gradual Variation ◽  
Melting And Solidification

The Incremental Melting and Solidification Process (IMSP) is a relatively new field for material processing for the production of functionally graded materials. In this process a controlled liquid bath is maintained at the top of the component where new materials are added changing the components composition. Thus, a functionally graded material is obtained with a varying composition along one direction of the component. This paper deals with the influence of one of the process parameters, namely displacement rates between heating coil and mould, in order to evaluate its influence on both metallurgical and mechanical properties of different Al-Si alloys. Hardness and phase distribution, along the main castings axis, were measured. To better assess and characterize the process, two different Al-Si alloys with and without variation of chemical composition along the specimen were analysed. Results demonstrate that a gradual variation of metallurgical and mechanical properties along the component is obtained. It is also shown that Al-Si functionally graded materials can be produced by the incremental melting and solidification process. Results show that the displacement rate is very important on metallurgical and mechanical properties of the obtained alloy.

scholarly journals MULTILAYER COATINGS Ti/TiN, Cr/CrN AND W/WN DEPOSITED BY MAGNETRON SPUTTERING FOR IMPROVEMENT OF ADHESION TO BASE MATERIALS

2015 ◽  
Vol 55 (6) ◽  
pp. 388 ◽  
Author(s):  
Jakub Horník ◽  
Stanislav Krum ◽  
David Tondl ◽  
Maxim Puchnin ◽  
Pavel Sachr ◽  
...  
Keyword(s):  
Functionally Graded Materials ◽  
Scratch Test ◽  
Functionally Graded ◽  
Point Of View ◽  
Multilayer Coatings ◽  
Graded Materials ◽  
Protective Function ◽  
Base Materials ◽  
Graded Layers ◽  
Graded Material

The paper deals with evaluation of single and multilayer layer PVD coatings based on Cr and Ti widely used in tool application. Additionally, W and WN based coating which are not so widespread were designed and deposited as functionally graded material. The coatings properties were evaluated from the point of view of hardness and adhesion. The hardness measuring was carried out using nanoindentation method. The scratch test was performed to test adhesion. Moreover, the presence of metallic interlayer in functionally graded materials further increases the coating adhesion by gradually approaching its composition to the substrate. Coatings consisting of W and WN have showed very good adhesion. With regard to the results of the scratch test, the multilayer coatings of CrN, TiN and WN have increased adhesion and can be assumed to have their protective function improved. Results will be appliedin development of functionally graded layers for functionally graded materials.

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