A simplified modelling of hydraulic fractures in elasto-plastic materials
arXiv:2107.08783 · doi:10.1007/s10704-021-00608-w
Abstract
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 formulated and a resulting plasticity-dependent crack propagation condition is introduced. A modified variant of the KGD problem that accounts for the plastic deformations in the near-tip zone only is proposed. It is demonstrated that this model can be a credible substitute for the full elasto-plastic hydraulic fracture problem in the case of moderate plastic deformation. The crack-tip shielding effect introduced by the plastic deformation is quantified.
References in corpus (5)
- Abaqus2Matlab: A suitable tool for finite element post-processing
- On the influence of fluid rheology on hydraulic fracture
- On the application of simplified rheological models of fluid in the hydraulic fracture problems
- Redirection of a crack driven by viscous fluid taking into account plastic effects in the process zone
- Numerical simulation of hydraulic fracturing: a hybrid FEM based algorithm