The Effect of Rotation and Inhomogeneity on the Transient Magneto-Thermoviscoelastic Stresses in an Anisotropic Solid

2012 ◽  
Vol 79 (5) ◽  
Author(s):  
Mohamed Abdelsabour Fahmy
Keyword(s):  
Magnetic Field ◽  
Boundary Element Method ◽  
Angular Velocity ◽  
Boundary Element ◽  
Constant Angular Velocity ◽  
Anisotropic Solid ◽  
Fundamental Equations ◽  
Element Method

The main objective of this paper is to study the transient magneto-thermoviscoelastic stresses in a nonhomogeneous anisotropic solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about it with a constant angular velocity. The system of fundamental equations is solved by means of a dual-reciprocity boundary element method (DRBEM). The results indicate that the effects of inhomogeneity and rotation are very pronounced.

scholarly journals The dual reciprocity boundary element method for magnetohydrodynamic channel flows

2002 ◽  
Vol 44 (2) ◽  
pp. 305-322 ◽  
Author(s):  
Huan-Wen Liu ◽  
Song-Ping Zhu
Keyword(s):  
Magnetic Field ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Mhd Flow ◽  
The Finite Element Method ◽  
Wall Conductivity ◽  
Coupled Boundary Conditions ◽  
Magnetohydrodynamic Channel ◽  
Poisson Type ◽  
Element Method

In this paper, we consider the problem of the steady-state fully developed magnetohydrodynamic (MHD) flow of a conducting fluid through a channel with arbitrary wall conductivity in the presence of a transverse external magnetic field with various inclined angles. The coupled governing equations for both axial velocity and induced magnetic field are firstly transformed into decoupled Poisson-type equations with coupled boundary conditions. Then the dual reciprocity boundary element method (DRBEM) [20] is used to solve the Poisson-type equations. As testing examples, flows in channels of three different crosssections, rectangular, circular and triangular, are calculated. It is shown that solutions obtained by the DRBEM with constant elements are accurate for Hartmann number up to 8 and for large conductivity parameters comparing to exact solutions and solutions by the finite element method (FEM).

scholarly journals A fast forward solution with a boundary element method for eddy current nondestructive testing

2002 ◽  
Vol 15 (2) ◽  
pp. 205-216
Author(s):  
Hermann Uhlmann ◽  
Olaf Michelsson
Keyword(s):  
Magnetic Field ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Eddy Current ◽  
Eddy Currents ◽  
Order Approximation ◽  
Approximation Schemes ◽  
Constant Field ◽  
The Magnetic Field ◽  
Element Method

Eddy current non-destructive testing is used to determine position and size of cracks or other defects in conducting materials. The presence of a crack normal to the excited eddy currents distorts the magnetic field; so for the identification of defects a very accurate and fast 3D-computation of the magnetic field is necessary. A computation scheme for 3D quasistatic electromagnetic fields by means of the Boundary Element Method is presented. Although the use of constant field approximations on boundary elements is the easiest way, it often provides an insufficient accuracy. This can be overcome by higher order approximation schemes. The numerical results are compared against some analytically solvable arrangements.

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