Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field

2012 ◽  
Vol 9 (5) ◽  
pp. 427-439 ◽  
Author(s):  
M. Arefi ◽  
G.H. Rahimi ◽  
M.J. Khoshgoftar
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Functionally Graded ◽  
Piezoelectric Cylinder ◽  
Electrical Loads ◽  
Functionally Graded Piezoelectric ◽  
The Magnetic Field

Exact solution of the (1+2)-dimensional generalized Kemmer oscillator in the cosmic string background with the magnetic field

2020 ◽  
Vol 29 (7) ◽  
pp. 070302
Author(s):  
Yi Yang ◽  
Shao-Hong Cai ◽  
Zheng-Wen Long ◽  
Hao Chen ◽  
Chao-Yun Long
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Cosmic String ◽  
String Background ◽  
The Magnetic Field

scholarly journals Scattering of Fermions by a Magnetic Dipole Field

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sergiu Hategan ◽  
Cosmin Crucean
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Differential Cross Section ◽  
Magnetic Dipole ◽  
Cross Section ◽  
Differential Cross ◽  
Coulomb Scattering ◽  
Minkowski Space Time ◽  
Magnetic Dipole Field ◽  
The Magnetic Field

Abstract In this paper we study the problem of fermions scattering by the field of a magnetic dipole in Minkowski space-time. The amplitude and differential cross section for scattering of massive fermions are obtained using the exact solution of the Dirac equation written in the helicity basis. We found that the most probable transitions are those that scatter the fermions perpendicular to the direction of the magnetic field and we consider only the transverse momenta in our analysis. The differential cross section behavior in terms of scattering angle and energy is graphically analysed and we perform a comparative study with the Coulomb scattering.

Effects of porosity, profile of thickness, and angular acceleration on the magneto-electro-elastic behavior of a porous FGMEE rotating disc placed in a constant magnetic field

2020 ◽  
pp. 095440622093840 ◽  
Author(s):  
M Saadatfar ◽  
MH Zarandi ◽  
M Babaelahi
Keyword(s):  
Magnetic Field ◽  
Angular Velocity ◽  
Differential Equations ◽  
Lorentz Force ◽  
Angular Acceleration ◽  
Functionally Graded ◽  
Elastic Behavior ◽  
Shooting Methods ◽  
Rotating Disc ◽  
The Magnetic Field

Effects of porosity, profile of thickness and angular deceleration on the stress and deformation of a fluid-saturated functionally graded porous magneto-electro-elastic rotating disc are investigated in this article. Since the angular velocity is taken to be variable, the disc is subjected to Lorentz force in two directions: radial and circumferential. It is assumed that material properties of the disc obey power-law function of radius. The disc is uniformly porous and its thickness varies as a function of radius. First, three coupled governing partial differential equations in terms of the displacement and electric potential are converted to ordinary differential equations employing the separation of variable method. Then, obtained equations are solved using the Runge–Kutta and shooting methods for the case of fixed–free boundary condition. The effect of variable angular velocity, thickness profile, inhomogeneity index, porosity, and magnetic field is studied and illustrated graphically. The results demonstrate that considering angular acceleration for the disc has a considerable effect on the Lorentz force resulted from the magnetic field. Besides, the angular velocity constant has a significant effect on the stresses and displacements in the presence of the magnetic field.

Microstructure of Al2O3-Fe FGM Obtained by Modified Slip-Casting Method

2005 ◽  
Vol 492-493 ◽  
pp. 665-672 ◽  
Author(s):  
A. Ozieblo ◽  
Tomasz Wejrzanowski ◽  
K. Konopka ◽  
Mikolaj Szafran ◽  
Krzysztof Jan Kurzydlowski
Keyword(s):  
Magnetic Field ◽  
Grain Size ◽  
Magnetic Force ◽  
Volume Fraction ◽  
Slip Casting ◽  
Functionally Graded ◽  
Casting Method ◽  
Average Grain Size ◽  
Field Lines ◽  
The Magnetic Field

This paper describes the technology and microstructure of Al2O3-Fe functionally graded composites, FGM, obtained by slip-casting under magnetic field. Alumina a-Al2O3, provided by Alcoa (symbol A16SG), with average grain size of 0.5 µm, and iron powder, (symbol Distaloy AB) from Hoganas, with average grain size of 35 µm, were used to produce a series of specimens which differed in contents of Fe particles in Al2O3. As a source of magnetic force a permanent magnet was used. Preforms were sintered in a vacuum at temp. 1470oC. The microstructures of the specimens were quantitatively described via stereological methods. Sections, parallel to the magnetic field lines were analyzed using special image analysis software. Stereological methods presented in this work have been used to determine gradient in the volume fraction of the Fe particles and variation in their size and dispersion. These parameters are essential for controlling the technological process of interest and to design microstructure for needed properties (fracture toughness).

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