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

A field-enriched finite element method is proposed in this paper to simulate the failure
process of rocks. According to the different types of defects, the proposed method can select …

Numerical modeling of localizations is a challenging task due to the evolving rough solution
in which the localization paths are not predefined. Despite decades of efforts, there is a need …

Fatigue fracture simulation based on phase field methods is a promising numerical
approach. As a typical continuum approach, phase field methods can naturally simulate …

This article presents a continuous–discontinuous approach that provides a discontinuous
character to the quasi-brittle fracture process, modeled in a continuous setting through a …

Correspondence-based peridynamics (CBPD) is attractive and promising because of its
outstanding ability to employ the traditional constitutive relations for material modeling …

An adaptive phase-field method is developed and applied to model fracture propagation in
orthotropic composites. The proposed approach extends the work of Muixí et al.(2020) to …

We study fracture propagation in bi-layered materials using an adaptive phase-field method.
The method combines a phase-field representation of fracture with spatial adaptivity to …

The phase field method is becoming the de facto choice for the numerical analysis of
complex problems that involve multiple initiating, propagating, interacting, branching and …

The aim of this paper was to present a numerical simulation of a crack growth path and
associated stress intensity factors (SIFs) for linear elastic material. The influence of the holes' …