# Interaction due to expanding surface loads in thermoporoelastic medium

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Abstract:

The present investigation is concerned with interaction due to expanding surface loads in thermoporoelastic medium whose surface is subject to loads that suddenly emanate from a point on the surface and expand radially at constant rate. The cases of loads shaped as a ring and disc are considered in detail to show the utility of the approach. These loads are chosen so that they exert a constant force on the surface as they expand. Laplace and Hankel transform technique is used to solve the problem. The expressions for displacement components, stress components, pore pressure and temperature change are obtained in the transformed domain. To obtain the resulting quantities in the physical domain, a numerical inversion technique is applied. Effect of porosity is shown on the resulting quantities. A particular case of interest is also deduced from the present investigation.