Analytical model for dissipation of thermally induced pore pressure in marble slabs

Resumo

This paper presents a thermomechanical model of a saturated porous slab, which is suitable to the study of
rocks subjected to thermal exchanges with the surrounding environment of a building. This model involves linear
differential equations of stress equilibrium and transient pore pressure dissipation and its main purpose is to help
to the understanting of the bowing, which is an important phenomenon that occur when some porous rocks are
subject to temperature cycles. Moreover, an analytical solution for a steady state condition for pore pressure is
developed, which describes the situation where the generation of pressure due to cooling of a slab is compensated
by pressure dissipation caused by water loss (consolidation). This analytical solution should be useful to test future
numerical implementations of the thermoelasticity model presented herein.