Modelling of cracks evolution in poroelastic medium
In this article the set of processes in the saturated porous media is considered according to the quasi-stationary Biot model. For solving this problem the support operator method is used. The algorithm of solving the problems of elasticity and poroelasticity is realized. Good conformity of numerical and asymptotic decisions is received. In case of a stationary problem, asimptotical solving near the ends of a crack, has been received.
The Kylon-More criterion was used for modeling the crack interaction. The problem of the cracks interaction is solved numerically, possible zones of destructions duriang interaction process are calculated.
Mathematical modelling in actual problems of science and technics