Magneto-thermo-elastic interactions in an infinite viscoelastic cylinder of temperature-rate dependent material subjected to a periodic loading

Journal of Applied Mechanics

2012

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.

“…In the theory of thermal stresses, the goveming equations of magneto-thermoviscoelastieity for an anisotropic solid ean be written as follows (see Roychoudhuri and Banerjee [32]):…”

Section: Formulation Of the Problemmentioning

confidence: 99%

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

Journal of Applied Mechanics

2012

“…To transform the domain integral in (26) to the boundary, the generalized source term is approximated with a series of given source terms f q and unknown coefficientsᾱ q then we can write the domain integral in (26) as follows…”

Section: Temperature Fieldmentioning

confidence: 99%

Numerical Modeling of Transient Magneto-Thermo-Viscoelastic Waves in a Rotating Nonhomogeneous Anisotropic Solid Under Initial Stress

Int. J. Model. Simul. Sci. Comput.

2012

A numerical model based on the dual-reciprocity boundary element method (DRBEM) for studying the transient magneto-thermo-viscoelastic waves in a rotating nonhomogeneous anisotropic solid is presented. The formulation is tested through its application to the problem of an initially stressed solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about this axis with a constant angular velocity. 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 DRBEM is examined by considering a magneto-thermo-viscoelastic solid occupies a rectangular region and good agreement is obtained with existent results. The results obtained are presented graphically to show the influence of initial stress on the displacement components and thermal stress components. Int. J. Model. Simul. Sci. Comput. 2012.03. Downloaded from www.worldscientific.com by WAYNE STATE UNIVERSITY on 03/23/15. For personal use only. 1250002-2 Int. J. Model. Simul. Sci. Comput. 2012.03. Downloaded from www.worldscientific.com by WAYNE STATE UNIVERSITY on 03/23/15. For personal use only. 1250002-3 Int. J. Model. Simul. Sci. Comput. 2012.03. Downloaded from www.worldscientific.com by WAYNE STATE UNIVERSITY on 03/23/15. For personal use only.

“…The governing equations of magneto-thermo-viscoelasticity for an anisotropic media can be written as follows [Roychoudhuri and Banerjee, 1998;Fahmy, 2008] …”

Section: Formulation Of the Problemmentioning

confidence: 99%

A Time-Stepping Drbem for Magneto-Thermo-Viscoelastic Interactions in a Rotating Nonhomogeneous Anisotropic Solid

Int. J. Appl. Mechanics

2011

A numerical model based on the dual reciprocity boundary element method (DRBEM) for studying the transient magneto-thermo-viscoelastic stresses in a nonhomogeneous anisotropic solid subjected to a heat source is presented. The formulation is tested through its application to the problem of a solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about this axis with a constant angular velocity. 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 stress components. The validity of DRBEM is examined by considering a magneto-thermo-viscoelastic solid occupies a rectangular region and good agreement is obtained with existent results. The results obtained are presented graphically to show the effects of inhomogeneity and heat source on the temperature, displacement components and thermal stress components.