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2 International Journal of Applied Mechanics and Engineering

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Thermoviscoelastic waves due to time harmonic loads acting on the boundary of a solid halfspace

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

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 3

781-797

This paper studies the disturbance due to time harmonic normal and thermal point loads acting on the boundary of a homogeneous isotropic thermoviscoelastic solid halfspace. The Kelvin-Voigt model is used to investigate the instant problem in the context of generalized theories of thermoelasticity. The Hankel transform technique has been employed to solve the boundary value problem in the transformed domain. The inverse transform integrals are evaluated by using Romberg integration with adaptive step-size after using the results from successive refinements of recurresive trapezoidal rule and extrapolation of the results to the limit when the step size tends to zero. The temperature and stresses so obtained in the physical domain are computed numerically and presented graphically in different situations for the polymethyl methacrylate material which has wide applications in industry and medicine. A complete and comprehensive analysis and comparison of the results in various theories of generalized thermoviscoelasticity are also presented.

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.