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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.

Thermoelastic interactions without energy dissipation due to various sources

Kumar R., Rani L.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 2

431-446

The linear theory of thermoelasticity without energy dissipation is employed to investigate the disturbance due to mechanical (horizontal or vertical) and thermal source in a homogeneous, thermoelasic half-space. Laplace-Fourier transforms are applied to the basic equations to form a vector matrix differential equation, which is then solved by using the eigenvalue approach. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and ilIustrated graphically for a magnesium-like material for an insulated boundary and temperature gradient boundary, respectively.