The Verification of Computing J-Integral in Functionally Graded Material

2011 ◽  
Vol 268-270 ◽  
pp. 863-868 ◽  
Author(s):  
Z.C. Xuan ◽  
Y.H. Li ◽  
Q.J. Zhang ◽  
M. Guan
Keyword(s):  
Functionally Graded Material ◽  
Functionally Graded ◽  
Homogeneous Material ◽  
Quadratic Term ◽  
Verification Method ◽  
Optimal Value ◽  
Graded Material ◽  
Element Computation ◽  
The Difference ◽  
Finite Element Computation

We present a verification method for the finite element computation of the J-integrals in functionally graded material. An interval is obtained for the J-integral by an output bound procedure for the quantity of interest. The difference between homogeneous material and functionally graded material is that the parameter before the quadratic term in the error equation is a function of coordinates, not a constant in the homogeneous material. An optimal value for of the parameter is calculated for obtaining efficient bounds on the J-integral.

Mechanical Properties of Alumina/Zirconia Functionally Graded Material Prepared by Electrophoretic Deposition

2005 ◽  
Vol 290 ◽  
pp. 332-335 ◽  
Author(s):  
Pavol Hvizdoš ◽  
José-Maria Calderón Moreno ◽  
Jan Očenášek ◽  
Luca Ceseracciu ◽  
Guy Anné
Keyword(s):  
Mechanical Properties ◽  
Electrophoretic Deposition ◽  
Cross Sections ◽  
Functionally Graded Material ◽  
Element Model ◽  
Functionally Graded ◽  
Graded Material ◽  
The Difference ◽  
Indentation Methods ◽  
Thermal Expansion Coefficient Mismatch

The mechanical properties of a quasi-symmetrical planar functionally graded material (FGM) of Al2O3 / Al2O3+20%ZrO2 / Al2O3+5%ZrO2 prepared by electrophoretic deposition and pressureless sintering has been studied. Hardness and fracture toughness were measured using indentation methods on cross sections of samples. From the difference between lengths of cracks parallel and perpendicular to layers the residual stresses (arisen due to the thermal expansion coefficient mismatch) were calculated, their profile along the cross section has been estimated and compared with values obtained using a finite element model.

Fabrication and Properties of W-Cu Functionally Graded Material by Tape-Casting

2014 ◽  
Vol 616 ◽  
pp. 66-71
Author(s):  
Qiang Guo Luo ◽  
Yang Dai ◽  
Shu Long Liu ◽  
Kan Yu ◽  
Qiang Shen ◽  
...  
Keyword(s):  
Functionally Graded Material ◽  
Tape Casting ◽  
Copper Surface ◽  
Functionally Graded ◽  
Homogeneous Material ◽  
Equivalent Thermal Conductivity ◽  
Casting Technique ◽  
Cu Content ◽  
Graded Material ◽  
High Tungsten Content

In this paper, the W-Cu functionally graded material (FGM) was prepared by using the non-aqueous tape-casting technique combined with vacuum hot-pressing sintering. The graded composite material with high density, uniform transition and graded component was designed by 7 layers with the copper content range from 40 to 100 wt. %. Then the structures and properties of the composite were characterized. The scanning acoustic microscope (SAM) results for the W-Cu graded material showed that the interface between different layers was of high smoothness and parallel. The SEM-EDS results of cross section show that the W and Cu content changed gradually along the laminating direction after sintering. The equivalent electrical conductivity and the equivalent thermal conductivity of the W-Cu graded material were 0.3976×108 S/m and 323.5 W/(m·K), respectively, which were much higher than that of the W-40 wt. % Cu homogeneous composite. The Vickers hardness of the high tungsten content surface and the high copper surface were 163 HV and 80 HV, respectively, which were same with that of the homogeneous material.

Material optimization of a cemented tibia tray using functionally graded material

2016 ◽  
Vol 58 (3) ◽  
pp. 260-268 ◽  
Author(s):  
Hassan S. Hedia ◽  
Saad M. Aldousari ◽  
Noha Fouda
Keyword(s):  
Functionally Graded Material ◽  
Functionally Graded ◽  
Material Optimization ◽  
Graded Material

Exact solution by dynamic stiffness method for the natural vibration of porous functionally graded plate considering neutral surface

2021 ◽  
pp. 146442072098817
Author(s):  
Md. Imran Ali ◽  
Mohammad Sikandar Azam
Keyword(s):  
Power Law ◽  
Functionally Graded Material ◽  
Stiffness Matrix ◽  
Natural Vibration ◽  
Dynamic Stiffness ◽  
Functionally Graded ◽  
Neutral Surface ◽  
Functionally Graded Plate ◽  
Dynamic Stiffness Matrix ◽  
Graded Material

This paper presents the formulation of dynamic stiffness matrix for the natural vibration analysis of porous power-law functionally graded Levy-type plate. In the process of formulating the dynamic stiffness matrix, Kirchhoff-Love plate theory in tandem with the notion of neutral surface has been taken on board. The developed dynamic stiffness matrix, a transcendental function of frequency, has been solved through the Wittrick–Williams algorithm. Hamilton’s principle is used to obtain the equation of motion and associated natural boundary conditions of porous power-law functionally graded plate. The variation across the thickness of the functionally graded plate’s material properties follows the power-law function. During the fabrication process, the microvoids and pores develop in functionally graded material plates. Three types of porosity distributions are considered in this article: even, uneven, and logarithmic. The eigenvalues computed by the dynamic stiffness matrix using Wittrick–Williams algorithm for isotropic, power-law functionally graded, and porous power-law functionally graded plate are juxtaposed with previously referred results, and good agreement is found. The significance of various parameters of plate vis-à-vis aspect ratio ( L/b), boundary conditions, volume fraction index ( p), porosity parameter ( e), and porosity distribution on the eigenvalues of the porous power-law functionally graded plate is examined. The effect of material density ratio and Young’s modulus ratio on the natural vibration of porous power-law functionally graded plate is also explained in this article. The results also prove that the method provided in the present work is highly accurate and computationally efficient and could be confidently used as a reference for further study of porous functionally graded material plate.

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