A hybrid numerical approach for hydraulic fracturing in a naturally fractured formation combining the XFEM and phase-field model
This paper presents a hybrid method for modeling hydraulic fracture propagation in an
unconventional shale formation with frictional and cemented natural fractures. The hybrid …
unconventional shale formation with frictional and cemented natural fractures. The hybrid …
A transient global-local generalized FEM for parabolic and hyperbolic PDEs with multi-space/time scales
This paper presents a novel Generalized Finite Element Method with global-local
enrichment (GFEM gl) to solve time-dependent parabolic and hyperbolic problems with …
enrichment (GFEM gl) to solve time-dependent parabolic and hyperbolic problems with …
An adaptive global–local generalized FEM for multiscale advection–diffusion problems
This paper develops an adaptive algorithm for the Generalized Finite Element Method with
global–local enrichment (GFEM gl) for transient multiscale PDEs. The adaptive algorithm …
global–local enrichment (GFEM gl) for transient multiscale PDEs. The adaptive algorithm …
Analysis of three‐dimensional fracture mechanics problems: A two‐scale approach using coarse‐generalized FEM meshes
This paper presents a generalized finite element method (GFEM) based on the solution of
interdependent global (structural) and local (crack)‐scale problems. The local problems …
interdependent global (structural) and local (crack)‐scale problems. The local problems …
An extended/generalized phase‐field finite element method for crack growth with global‐local enrichment
An extended/generalized finite element method (XFEM/GFEM) for simulating quasistatic
crack growth based on a phase‐field method is presented. The method relies on …
crack growth based on a phase‐field method is presented. The method relies on …
Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients
P O'Hara, CA Duarte, T Eason - Computer Methods in Applied Mechanics …, 2009 - Elsevier
In this paper, heat transfer problems exhibiting sharp thermal gradients are analyzed using
the classical and generalized finite element methods. The effect of solution roughness on …
the classical and generalized finite element methods. The effect of solution roughness on …
Non-intrusive coupling of a 3-D Generalized Finite Element Method and Abaqus for the multiscale analysis of localized defects and structural features
H Li, P O'Hara, CA Duarte - Finite Elements in Analysis and Design, 2021 - Elsevier
This paper presents a multiscale computational framework able to resolve localized defects
and features such as cracks and welds in large structures. It couples Abaqus models and 3 …
and features such as cracks and welds in large structures. It couples Abaqus models and 3 …
A generalized finite element method with global-local enrichment functions for confined plasticity problems
The main feature of partition of unity methods such as the generalized or extended finite
element method is their ability of utilizing a priori knowledge about the solution of a problem …
element method is their ability of utilizing a priori knowledge about the solution of a problem …
Three-dimensional crack growth with hp-generalized finite element and face offsetting methods
A coupling between the hp-version of the generalized finite element method (hp-GFEM) and
the face offsetting method (FOM) for crack growth simulations is presented. In the proposed …
the face offsetting method (FOM) for crack growth simulations is presented. In the proposed …
Bridging multiple structural scales with a generalized finite element method
This paper presents a generalized FEM based on the solution of interdependent coarse‐
scale (global) and fine‐scale (local) problems in order to resolve multiscale effects due to …
scale (global) and fine‐scale (local) problems in order to resolve multiscale effects due to …