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2 International Journal of Applied Mechanics and Engineering

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Interactions due to mechanical sources in microstretch viscoelastic solid

Singh R., Kumar R.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 3

781-796

The eigen value approach, following Laplace and Fourier transforms, has been employed to find the general solution to the field equations in a microstretch viscoelastic medium for the plane strain problem. An application of an infinite space with an impulsive normal point force and influence function has been taken to illustrate the utility of the approach. The integral transforms have been inverted by using a numerical inversion technique to get the results in the physical domain. The results in the form of normal displacement, normal force stress, tangential force stress, tangential couple stress and microstress components have been obtained numerically and illustrated graphically to depict the effects of stretch and viscosity. Special cases of a microstretch elastic solid and micropolar elastic solid have also been deduced.

Eigenvalue approach to gerneralized thermoelasticity in an isotropic medium with an instantaneous heat source

Kar T. K., Lahiri A.

International Journal of Applied Mechanics and Engineering

2004

Vol. 9, no 1

147-160

The fundamental equations of plane strain problems in generalised thermoelasticity with one relaxation time parameter including the heat source have been written in the form of a vector matrix differential equation. Integral transform techniques are adopted, namely: the Laplace transform for the time variable and the exponential Fourier transform for one of the space variables. Exact expressions for the temperature distribution, thermal stresses and displacement components are obtained in the Laplace-Fourier transform domain. A numerical approach is implemented for the inversion of both transforms in order to obtain the solution in physical domain. Finally, numerical computations of the stresses and temperature have been made and represented graphically (for different values of time t and relaxation time parameter t as shown in the figures).