Self-similar solution of the hydraulic fracture problem for two closely spaced beams

The fracture problem for two linked elastic beams by an incompressible viscous fluid is considered. The beam bending is described in the framework of the Kirchhoff–Love model. The self-similar solutions are sought by the batch methods. The numerical results obtained when solving the corresponding system of differential equations with various boundary conditions are graphically illustrated in the form of pressure and velocity distributions within the fluid and in the form of the distance between the beams in the fracture zone.