Fictitious domain finite element methods using cut elements: I. A stabilized Lagrange multiplier method
We propose a fictitious domain method where the mesh is cut by the boundary. The primal
solution is computed only up to the boundary; the solution itself is defined also by nodes …
solution is computed only up to the boundary; the solution itself is defined also by nodes …
A robust Nitsche's formulation for interface problems
In this work, we propose a novel weighting for the interfacial consistency terms arising in a
Nitsche variational form. We demonstrate through numerical analysis and extensive …
Nitsche variational form. We demonstrate through numerical analysis and extensive …
3D crack propagation with cohesive elements in the extended finite element method
A model is presented that accurately describes brittle failure in the presence of cohesive
forces, with a particular focus on the prediction of non planar crack paths. In comparison with …
forces, with a particular focus on the prediction of non planar crack paths. In comparison with …
Stabilized low-order finite elements for frictional contact with the extended finite element method
Contact problem suffers from a numerical instability similar to that encountered in
incompressible elasticity, in which the normal contact pressure exhibits spurious oscillation …
incompressible elasticity, in which the normal contact pressure exhibits spurious oscillation …
Numerical modeling of corrosion pit propagation using the combined extended finite element and level set method
R Duddu - Computational Mechanics, 2014 - Springer
A sharp-interface Eulerian formulation for modeling the propagation of localized pitting
corrosion is presented. This formulation allows for an accurate representation of the …
corrosion is presented. This formulation allows for an accurate representation of the …
An X‐FEM and level set computational approach for image‐based modelling: application to homogenization
G Legrain, P Cartraud, I Perreard… - International Journal for …, 2011 - Wiley Online Library
The advances in material characterization by means of imaging techniques require powerful
computational methods for numerical analysis. The present contribution focuses on …
computational methods for numerical analysis. The present contribution focuses on …
3D coupled HM–XFEM modeling with cohesive zone model and applications to non planar hydraulic fracture propagation and multiple hydraulic fractures interference
B Paul, M Faivre, P Massin, R Giot, D Colombo… - Computer Methods in …, 2018 - Elsevier
A 3D fully coupled hydromechanical model for the simulation of fluid-driven fracture
propagation through poroelastic saturated media is presented and compared to several …
propagation through poroelastic saturated media is presented and compared to several …
Robust imposition of Dirichlet boundary conditions on embedded surfaces
M Hautefeuille, C Annavarapu… - International Journal for …, 2012 - Wiley Online Library
We develop both stable and stabilized methods for imposing Dirichlet constraints on
embedded, three‐dimensional surfaces in finite elements. The stable method makes use of …
embedded, three‐dimensional surfaces in finite elements. The stable method makes use of …
An augmented Lagrangian contact formulation for frictional discontinuities with the extended finite element method
In this paper, an Uzawa-type augmented Lagrangian contact formulation is presented for
modeling frictional discontinuities in the framework of the X-FEM technique. The …
modeling frictional discontinuities in the framework of the X-FEM technique. The …
A barrier method for frictional contact on embedded interfaces
We present a barrier method for treating frictional contact on interfaces embedded in finite
elements. The barrier treatment has several attractive features, including:(i) it does not …
elements. The barrier treatment has several attractive features, including:(i) it does not …