We analyse a problem of a hydraulic fracture driven by a non-Newtonian shear-thinning
fluid. Fluid viscosity is described by the four-parameter truncated power-law model. By …

One of the assumptions of Linear Elastic Fracture Mechanics is that the crack faces are
traction-free or, at most, loaded by bounded tractions. The standard Irwin's crack closure …

This article revisits the formulation of the J‐integral in the context of hydraulic fracture
mechanics. We demonstrate that the use of the classical J‐integral in finite element models …

In this paper a problem of a hydraulic fracture driven by a non-Newtonian shear-thinning
fluid is analysed. For the PKN fracture geometry three different rheological models of fluid …

In this paper the problem of redirection of a crack driven by viscous fluid under mixed mode
loading is considered. The loading includes the classical Modes I-III and the hydraulically …

In this paper the problem of a plane strain hydraulic fracture propagating in an elasto-plastic
material is analyzed. A new stress redistribution model for the proximity of the fracture tip is …

In this paper a problem of stationary flow of generalized Newtonian fluid in a thin channel is
considered. An efficient algorithm of solution is proposed that includes a flexible procedure …

In this paper the problem of a plane strain hydraulic fracture in elasto-plastic material is
analyzed. The analysis is based on Finite Element Method computations of crack …

In this paper, a problem of numerical simulation of hydraulic fractures is considered. An
efficient algorithm of solution is proposed for the plain strain model of hydraulic fracturing …

The radial (penny-shaped) model of hydraulic fracture is considered. The tangential traction
on the fracture walls is incorporated, including an updated evaluation of the energy release …