State space approach to boundary value problem for thermoelastic material with double porosity

The present investigation is concerned with a boundary value problem in a homogeneous, isotropic, thermoelastic body with double porosity due to thermomechanical sources. After developing the mathematical formulation, a state space approach is applied to study the problem. As an application of the approach, normal force and thermal source have been taken to illustrate the utility of the approach. The expressions for the components of normal stress, equilibrated stresses and the temperature distribution are obtained in the frequency domain and computed numerically. Numerical simulation is prepared for these quantities and simulated results are depicted graphically for a particular model. A particular case of thermomechanical deformation in thermoelastic medium is deduced as a special case.