UDC 536.21

M. A. Fahmy

TRANSIENT MAGNETO-THERMO-VISCOELASTIC STRESSES
IN A ROTATING NONHOMOGENEOUS ANISOTROPIC SOLID
WITH AND WITHOUT A MOVING HEAT SOURCE

Transient magneto-thermo-viscoelastic stresses in a nonhomogeneous 
anisotropic solid with and without a moving heat source under rotation 
are studied. The system of fundamental equations is solved by means 
of the dual reciprocity boundary element method (DRBEM). In the case 
of plane deformation, a numerical scheme for the implementation of 
the method is presented, and the numerical computations are carried 
out for the temperature, displacement components, and thermal stress 
components. The validity of the DRBEM is examined by considering a 
magneto-thermo-viscoelastic solid that occupies a rectangular region, 
and a good agreement with the existent results is obtained. The results 
indicate that the effects of a moving heat source and rotation are 
very pronounced.

Keywords: magneto-thermo-viscoelastic stress, rotation, 
inhomogeneity, anisotropy, dual reciprocity boundary element method.

Applied Mathematics Department, Faculty of Computers & Informatics, 
Suez Canal University, Ismailia, Egypt; email: mafahmy2001@yahoo.com. 
Original article submitted June 6, 2011; revision submitted November 
9, 2011.