UDC 536.21

Sachin Kaushala, Rajneesh Kumarb, and 
Aseem Miglania

RESPONSE OF FREQUENCY DOMAIN IN GENERALIZED THERMOELASTICITY WITH TWO TEMPERATURES
The paper is concerned with the time harmonic deformation in a homogeneous isotropic generalized thermoelastic medium with two temperatures. The Hankel transform is employed to solve the boundary-value problem in the frequency domain in the context of two generalized theories of thermoelasticity (Lord and Shulman, Green and Lindsay). The inverse transform integral is evaluated by using the Romberg integration in order to obtain the results in the physical domain. The components of the stresses as well as the temperature and conductive temperature obtained in this manner are computed numerically. The effects of two temperatures are presented graphically. Keywords: generalized thermoelasticity, time harmonic, normal point force, conductive temperature, Hankel transform, Romberg integration. aDepartment of Mathematics, C.D.L University, Sirsa, India; bDepartment of Mathematics, Kurukshetra University, Kurukshetra, India; email: rajneesh_kuk@rediffmail.com. Original article submitted July 2, 2009; revision submitted October 6, 2009.