A three-dimensional generalized finite element method for simultaneous propagation of multiple hydraulic fractures from a wellbore
In this article, a 3-D methodology for the simulation of hydraulic fracture propagation using
the Generalized Finite Element Method (GFEM) is extended for the simultaneous …
the Generalized Finite Element Method (GFEM) is extended for the simultaneous …
Stable generalized finite element method (SGFEM) for three-dimensional crack problems
This paper proposes a stable generalized finite element method (SGFEM) for the linear 3D
elasticity problem with cracked domains. Conventional material-independent branch …
elasticity problem with cracked domains. Conventional material-independent branch …
Fracture and size effect analysis in concrete using 3-DG/XFEM and a CZM-LEFM correlation model: Validation with experiments
The existence of process zones at crack tips in quasi-brittle materials is responsible for the
structural size-dependent fracture strength. Hence, accurate prediction tools should not only …
structural size-dependent fracture strength. Hence, accurate prediction tools should not only …
A generalized finite element method for three-dimensional hydraulic fracture propagation: Comparison with experiments
In this article, 3-D simulations of hydraulic fracture propagation with the Generalized Finite
Element Method (GFEM) are compared with several experiments. The GFEM in this work …
Element Method (GFEM) are compared with several experiments. The GFEM in this work …
Well-conditioned and optimally convergent second-order Generalized/eXtended FEM formulations for linear elastic fracture mechanics
Abstract The Generalized/eXtended Finite Element Method (G/XFEM) has been established
as an approach to provide optimally convergent solutions for classes of problems that are …
as an approach to provide optimally convergent solutions for classes of problems that are …
[HTML][HTML] A condensed generalized finite element method (CGFEM) for interface problems
Extensive developments on various generalizations of the Finite Element Method (FEM) for
the interface problems, with unfitted mesh, have been made in the last few decades. Typical …
the interface problems, with unfitted mesh, have been made in the last few decades. Typical …
Three-dimensional partition-of-unity generalized node method for the simulation of fractured rock mass
Y Cai, P Yan - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Abstract A three-dimensional (3D) partition-of-unity (PU) generalized node method (GNM) is
developed for the simulation of fractured rock mass. In the 3D PUGNM, generalized nodes …
developed for the simulation of fractured rock mass. In the 3D PUGNM, generalized nodes …
Recovery strategies, a posteriori error estimation, and local error indication for second‐order G/XFEM and FEM
This article presents a computationally efficient and straightforward to implement a posteriori
error estimator for second‐order G/XFEM and FEM approximations. The formulation is …
error estimator for second‐order G/XFEM and FEM approximations. The formulation is …
A high-order generalized finite element method for multiscale structural dynamics and wave propagation
AG Sanchez-Rivadeneira, CA Duarte - Computer Methods in Applied …, 2021 - Elsevier
This paper introduces a high-order multiscale Generalized/eXtended Finite Element Method
(GFEM) tailored for the solution of structural dynamics and wave propagation problems …
(GFEM) tailored for the solution of structural dynamics and wave propagation problems …
High-order stable generalized/extended finite element approximations for accurate stress intensity factors
B Mazurowski, AG Sanchez-Rivadeneira… - Engineering Fracture …, 2021 - Elsevier
This paper investigates the accuracy and robustness of stress intensity factor (SIF) extraction
using the p-Hierarchical Discontinuous Interpolant Stable Generalized Finite Element …
using the p-Hierarchical Discontinuous Interpolant Stable Generalized Finite Element …