Thermo-mechanical models of encapsulated phase change materials have been proposed throughout the literature. Heat transfer rates can be enhanced through the encapsulation of a phase change material. The improvement of heat transfer rates, constitutes a challenge that seeks to meet the energy demand in high temperature and cold energy storage applications. Thermo-mechanical models proposed in the literature, have been applied to estimate the effects of encapsulating shells on the dynamics of the phase transition and on the energy storage capacity of phase change materials. Modeling of the phase change dynamics allows to determine melting or solidification times, that constitute a key parameter in energy storage applications. Previous thermo-mechanical models constitute an attempt to understand the thermal kinetics of microencapsulated phase change materials. The mathematical models have been consistently neglecting density variations induced by the inner pressure within the encapsulating shell. In this work, a thermo-mechanical model that couples the pressure induced density changes with the elastic properties of the shell, is proposed. The effects of density changes are incorporated in the proposed model, through the compressibility of the liquid and solid phases. Three compressibility regimes are defined and significant differences in the melting dynamics between these regimes, are found. To the authors knowledge, the models found in the literature only describe the thermal kinetics of incompressible phase change materials. In this work, we consider a silicon carbide shell with a large Young’s modulus as the encapsulating material. We found that melting rates and thermal kinetics is considerably slower in phase change materials with compressible phases. The examples discussed in this work, show that melting times can be twice as long for materials with compressible phases than melting times when incompressible phases are assumed. Additionally, we found that the encapsulating shell always reaches the elastic limit at low melting fractions by assuming incompressible phases. However, when compressible phases are incorporated, a threshold thickness for which the encapsulating material will never reach the elastic limit, is found. Finally, we found that the appearance of steady states in phase change materials with incompressible phases, can reduce the thermal energy density at typical heating temperatures by as much as 30%.