Effect of rotation on plane waves at the free surface of a fibre-reinforced thermoelastic half-space using the finite element method

The propagation of plane waves in fibre-reinforced, rotating thermoelastic half-space proposed by Lord-Shulman is discussed. The problem has been solved numerically using a finite element method. Numerical results for the temperature distribution, the displacement components and the thermal stress are given and illustrated graphically. Comparisons are made with the results predicted by the coupled theory and the theory of generalized thermoelasticity with one relaxation time in the presence and absence of rotation and reinforcement. It is found that the rotation has a significant effect and the reinforcement has great effect on the distribution of field quantities when the rotation is considered.

[1]  I. Abbas,et al.  Effects of thermal relaxations on thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity , 2008 .

[2]  M. Othman LORD-SHULMAN THEORY UNDER THE DEPENDENCE OF THE MODULUS OF ELASTICITY ON THE REFERENCE TEMPERATURE IN TWO-DIMENSIONAL GENERALIZED THERMOELASTICITY , 2002 .

[3]  I. Abbas,et al.  THERMAL SHOCK PROBLEM OF GENERALIZED THERMOELASTICITY FOR AN INFINITELY LONG ANNULAR CYLINDER WITH VARIABLE THERMAL CONDUCTIVITY , 2007 .

[4]  M. Othman Effect of rotation and relaxation time on a thermal shock problem for a half-space in generalized thermo-viscoelasticity , 2005 .

[5]  A. Chattopadhyay,et al.  Magnetoelastic shear waves in an infinite self‐reinforced plate , 1995 .

[6]  T. G. Rogers,et al.  Stress in elastic plates reinforced by fibres lying in concentric circles , 1983 .

[7]  V. Michel,et al.  A model for spherical SH wave propagation in self-reinforced linearly elastic media , 2006 .

[8]  H. Lord,et al.  A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY , 1967 .

[9]  A. Chattopadhyay,et al.  Propagation, reflection and transmission of magnetoelastic shear waves in a self-reinforced medium , 1990 .

[10]  M. Schoenberg,et al.  Elastic waves in rotating media , 1973 .

[11]  Ibrahim A. Abbas,et al.  Finite element analysis of the thermoelastic interactions in an unbounded body with a cavity , 2007 .

[12]  J. Reddy An introduction to the finite element method , 1989 .

[13]  P. Verma Magnetoelastic shear waves in self-reinforced bodies , 1986 .

[14]  M. Othman,et al.  The effect of rotation on generalized micropolar thermoelasticity for a half-space under five theories , 2007 .

[15]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .