INTEGRAL EQUATIONS FOR MODELLING OF FRACTURE INITIATION AND DEVELOPMENT IN LAYERED POROELASTIC MEDIA

Abstract

In this study, we consider a special incorrectly posed boundary value problem of the theory of cracks, which arises when modelling the initiation and development of fracture on the interface between poroelastic materials. The main feature of the problem is the formulation of boundary conditions, which is different from the standard formulations. The problem is considered for a strip, where three conditions are set on one side of the strip and one on the other side, which makes it possible to classify this formulation as a semi-inverse one.