TRANSIENT THERMOVISCOELASTIC WAVES IN A HALF-SPACE DUE TO THERMAL LOADS

ABSTRACT

The Kelvin–Voigt model of linear viscoelasticity, which describes the viscoelastic nature of a material, is used to investigate the transient waves due to thermal loads acting on the boundary of the thermoviscoelastic media. The Laplace and Hankel transform technique has been employed to solve the boundary-value problem in the transform domain in the context of various theories of generalized thermoelasticity. The Laplace transforms have been inverted by using a numerical technique and then the inverse Hankel transform integrals are evaluated by using Romberg integration to obtain the results in the physical domain. The temperature and stresses are computed numerically and presented graphically in different situations for copper material. A comparison of the results for different theories of generalized thermoelasticity and viscoelasticity is also presented at appropriate stages of this work.

Keywords:

• integral transforms
• mechanical relaxation time
• thermal loads
• thermal relaxation
• thermoviscoelasticity

The authors are thankful to the reviewer for valuable and fruitful suggestions for the improvement of this work.