The Analysis of a Griffith Crack Embedded in a Thermo-poro-elastic Medium

The analytical solution of a thermo-poro-elastic medium in static state weakened by a Griffith crack with finite width is presented. By virtue of the Fourier cosine and sine integral transform techniques, the mixed boundary-value problem is formulated as three pairs of dual integral equations, which are solved with the help of the Abel transform. In addition, the stress intensity factor of mode I and the crack surface displacement are presented analytically. Numerical examples are performed to show the distribution of displacement and stress over the thermo-poro-elastic medium. The results indicate that the thermal load will increase or decrease the crack surface displacement, but has a weak influence on the stress intensity factor. The present work may benefit future engineering applications.