Along with horizontal drilling techniques, multi-stage hydraulic fracturing has improved shale
gas production significantly in past decades. In order to understand the mechanism of …

Motivated by the successful implementation of the phase-field method (PFM) to simulate
complicated fracture patterns at moderate computational costs in solid materials, many …

This paper presents a hybrid method for modeling hydraulic fracture propagation in an
unconventional shale formation with frictional and cemented natural fractures. The hybrid …

Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …

Phase-field methods to regularize sharp interfaces represent a well established technique
nowadays. In fracture mechanics, recent works have shown the capability of the method for …

This research work presents an experimental and numerical study of the coupled thermo-
hydro-mechanical (THM) processes that occur during soil freezing. With focusing on the …

This work addresses an efficient Global–Local approach supplemented with predictor–
corrector adaptivity applied to anisotropic phase-field brittle fracture. The phase-field …

This manuscript introduces a unified mathematical framework to replicate both desiccation-
induced and hydraulic fracturing in low-permeable unsaturated porous materials observed …

In this work, phase-field modeling of hydraulic fractures in porous media is extended
towards a Global–Local approach. Therein, the failure behavior is solely analyzed in a …