Adaptive multiscale extended finite element method (MS-XFEM) for the simulation of multiple fractures propagation in geological formations

In fractured geological formations, as a result of the in-situ stress changes, fractures can propagate or slide. This phenomenon can be efficiently modeled by the extended finite element method (XFEM) when there are only a few fractures present. However, geological reservoirs contain many fractures which can also cross and are densely...

A numerical framework for simulating progressive failure in composite laminates under high-cycle fatigue loading

In this work, a recently proposed high-cycle fatigue cohesive zone model, which covers crack initiation and propagation with limited input parameters, is embedded in a robust and efficient numerical framework for simulating progressive failure in composite laminates under fatigue loading. The fatigue cohesive zone model is enhanced with an...

Verification, validation, and parameter study of a computational model for corrosion pit growth adopting the level-set method. Part II: Stress corrosion

Structural components in corrosive environments such as pipelines, bridges, aircrafts, and turbines are imposed to stress corrosion. A stress corrosion model for pit growth should a) accurately consider the electrochemistry of the corrosion process, b) properly deal with the moving interface between solid and electrolyte, and c) effectively...

Verification, validation, and parameter study of a computational model for corrosion pit growth adopting the level-set method.: Part I: Corrosion

Corrosion is a phenomenon observed in structural components in corrosive environments such as pipelines, bridges, aircrafts, turbines, etc. The computational model of corrosion should enjoy two features: a) accurately considering the electrochemistry of corrosion and b) properly dealing with the moving interface between solid and electrolyte....

Multiscale extended finite element method for deformable fractured porous media

Deformable fractured porous media appear in many geoscience applications. While the extended finite element method (XFEM) has been successfully developed within the computational mechanics community for accurate modeling of deformation, its application in geoscientific applications is not straightforward. This is mainly due to the fact that...

A thermo-hydro-mechanical model for energy piles under cyclic thermal loading

This paper introduces a thermo-hydro-mechanical finite element model for energy piles subjected to cyclic thermal loading. We address four particular features pertaining to the physics of energy piles: three-dimensionality, embedded heat exchangers, soil constitutive modeling and pile–soil interface. The model is designed to capture the...

A comparative study on the modelling of discontinuous fracture by means of enriched nodal and element techniques and interface elements

In this paper, three different approaches used to model strong discontinuities are studied: a new strong embedded discontinuity technique, designated as the discrete strong embedded discontinuity approach (DSDA), introduced in Dias-da-Costa et al. (Eng Fract Mech 76(9):1176–1201, 2009); the generalized finite element method, (GFEM), developed by...

Three-dimensional modelling of masonry using the partition of unity method

This paper uses the Generalized Finite Element method for the introduction of the cohesive joint behaviour to model masonry. Cracked joints are modelled as displacement discontinuities and are introduced in the finite element model by additional degrees of freedom. These degrees of freedom are activated when the stress state in the joint reaches...

A smooth yield surface based on interpolation of Bézier curves for masonry modelling

A smooth yield surface for the modelling of masonry on mesoscopic scale is presented, using interpolation by second order Bzier curves. The cracked joints are modelled as displacement discontinuities using the partition of unity property of finite element shape functions.

p -Version error estimation for linear elasticity

An error estimator, formulated earlier for h-adaptive strategies, is extended for use in the p-version finite element analysis. The estimation of error is based on solving a series of local problems, based on patches consisting of elements surrounding each node, with prescribed homogeneous essential boundary conditions. Unlike the original...

Constitutive modelling of hyperelastic rubber-like materials

The simulation of rubber-like material behaviour by means of the finite element method has been described in this study. Proper material models were selected for the numerical description of static hyper-elasticity. The combinations of a continuum damage mechanics concept and a pseudo-elastic concept with Gao's elastic law were used to simulate...

An algorithm for mesh rezoning with application to strain localization problems

On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials

Discretization influence in strain-softening problems

Some future directions in computational failure mechanics

Fundamental issues in finite element analyses of localization of deformation

Wave propagation and localization in a rate-dependent cracked medium-model formulation and one-dimensional examples

SOLUTION METHODS FOR LOCALIZATION IN FRACTURE DYNAMICS