Journal ArticleDOI
An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks
Jian-Ying Wu,Feng-Bo Li +1 more
Reads0
Chats0
TLDR
In this paper, the authors proposed an improved stable XFEM (Is-XFEM) with a novel enrichment function to reconcile the incompatibility between accuracy of the solution and conditioning of the system matrix.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2015-10-01. It has received 92 citations till now. The article focuses on the topics: Extended finite element method & Heaviside step function.read more
Citations
More filters
Book ChapterDOI
Phase-field modeling of fracture
TL;DR: This chapter provides an extensive overview of the literature on the so-called phase-field fracture/damage models (PFMs), particularly, for quasi-static and dynamic fracture of brittle and quasi-brittle materials, from the points of view of a computational mechanician.
Journal ArticleDOI
Cracking elements: A self-propagating Strong Discontinuity embedded Approach for quasi-brittle fracture
TL;DR: In this article, a self-propagating Strong Discontinuity Embedded Approach (SDA) for quasi-brittle fracture is presented, which is based on the Statically Optimal Symmetric formulation (SOS) of the SDA using the 8-node quadrilateral element.
Journal ArticleDOI
A geometrically regularized gradient-damage model with energetic equivalence
TL;DR: In this paper, a geometrically regularized gradient-damage model with energetic equivalence for cracking evolution is proposed for modeling localized failure in solids, which is applied to several benchmark tests of concrete under mode I and mixed-mode failure.
Journal ArticleDOI
Cracking elements method for dynamic brittle fracture
TL;DR: The cracking elements (CE) method is a self-propagating strong discontinuity embedded approach with the statically optimal symmetric (SDA-SOS) formulation for simulating the fracture of quasi-brittle materials.
Journal ArticleDOI
Length scale and mesh bias sensitivity of phase-field models for brittle and cohesive fracture
TL;DR: Three popular PFMs for brittle and cohesive fracture in the literature are selected, implemented within a single code and used to study the sensitivity to the length scale parameter and the mesh alignment of the solutions to various brittle and quasi-brittle fracture problems with/without singularities and notches.
References
More filters
Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
TL;DR: In this article, fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened, which may be regarded as a way of expressing the energy adsorption in the energy balance approach.
Journal ArticleDOI
Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
TL;DR: In this article, fracture mechanics is introduced into finite element analysis by means of a model where stresses are assumed to act across a crack as long as it is narrowly opened, which may be regarded as a way of expressing the energy adsorption in the energy balance approach.
Book
Introduction to the mechanics of a continuous medium
TL;DR: In this article, the authors propose a linearized theory of elasticity for tensors, which they call Linearized Theory of Elasticity (LTHE), which is based on tensors and elasticity.
Related Papers (5)
Cracking particles: A simplified meshfree method for arbitrary evolving cracks
Timon Rabczuk,Ted Belytschko +1 more