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1 International Journal of Applied Mechanics and Engineering

1 2006

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Forced vibrations due to mechanical loads in thermoviscoelastic halfspaces

Sharma J. N., Chand R., Chand D.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 1

105-121

In the present article the Kelvin-Voigt model of linear viscoelasticity which describes the viscoelastic nature of a material is used to investigate the forced vibrations due to mechanical loads acting on the boundary of a thermoviscoelastic continuum. 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 inverse transform integrals are evaluated by using Romberg integration in order to obtain the results in the physical domain. The temperature and stresses so obtained in the physical domain are computed numerically and presented graphically in different situations for a copper material. The comparison of results for different theories of generalized thermoviscoelasticity is also presented at appropriate stages of this work.