scholarly journals A screw dislocation in a functionally graded material using the translation gauge theory of dislocations

2011 ◽  
Vol 48 (11-12) ◽  
pp. 1630-1636 ◽  
Author(s):  
Markus Lazar
Keyword(s):  
Gauge Theory ◽  
Screw Dislocation ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
Graded Material

scholarly journals Nanomechanics of a screw dislocation in a functionally graded material using the theory of gradient elasticity

2013 ◽  
Vol 21 (5-6) ◽  
pp. 187-194 ◽  
Author(s):  
Kamyar M. Davoudi ◽  
Hossein M. Davoudi ◽  
Elias C. Aifantis
Keyword(s):  
Screw Dislocation ◽  
Functionally Graded Material ◽  
Dislocation Line ◽  
Gradient Elasticity ◽  
Functionally Graded ◽  
Short Article ◽  
Graded Material ◽  
The Fourier Transform ◽  
Stress Function Method ◽  
Analytical Expressions

AbstractThe modest aim of this short article is to provide some new results for a screw dislocation in a functionally graded material within the theory of gradient elasticity. These results, based on a displacement formulation and the Fourier transform technique, complete earlier findings obtained with the stress function method and extends them to the case of the second strain gradient elasticity. Rigorous and easy-to-use analytical expressions for the displacements, strains, and stresses are obtained, which are free from singularities at the dislocation line.

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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