A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures

Rabczuk, Timon; Zi, Goangseup; Bordas, Stéphane; Nguyen‐Xuan, H.

doi:10.1016/j.engfracmech.2008.06.019

Cited by 287 publications

(80 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, the extended finite element method (XFEM) [8], which belongs to the class of partition of unity methods, allows simulation of crack propagation without remeshing by introducing two classes of enrichment functions: discontinuous enrichment to capture the displacement jump through the crack faces and near-tip asymptotic enrichment to capture the stress singularity at the crack tip in linear elastic fracture mechanics (LEFM). Although a vast body of literature has examined cracking in various types of composite materials using different techniques, for example, Rebiére et al, [9] employed a combined analytical and a three-dimensional finite element study to study transverse and longitudinal cracks in laminates, Ramanujam et al, [10] studied fatigue crack growth using a combined experimental and computational investigation and meshfree method and cracking particle methods were employed in [11,12,13,14,15] to study arbitrary evolving cracks in reinforced concrete structures. Yet, to date, there is only a limited amount of work in the literature which involves XFEM for crack propagation simulation in orthotropic materials.…”

Section: Introductionmentioning

confidence: 99%

An experimental/numerical investigation into the main driving force for crack propagation in uni-directional fibre-reinforced composite laminae

Cahill

Natarajan

Bordas

et al. 2014

Composite Structures

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

An experimental/numerical investigation into the main driving force for crack propagation in uni-directional fibre-reinforced composite laminae

Cahill

Natarajan

Bordas

et al. 2014

Composite Structures

View full text Add to dashboard Cite

“…crack growth, moving boundaries and large deformation problems [1] and various refinements are necessary, XFEM for fracture for instance. Indeed in this area major advances have been made [2][3][4]. With mesh-based numerical methods, one cannot avoid the issues of element distortion and the need for remeshing in finite deformation problems (which also brings the difficulty of projection of information from one mesh to another).…”

Section: Introductionmentioning

confidence: 99%

Finite deformation elasto-plastic modelling using an adaptive meshless method

Ullah

Augarde

2013

Computers & Structures

View full text Add to dashboard Cite

'Finite deformation elasto-plastic modelling using an adaptive meshless method. ', Computers and structures., Further information on publisher's website:http://dx.doi.org/10. 1016/j.compstruc.2012.04.001 Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Computers and structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reected in this document. Changes may have been made to this work since it was submitted for publication. A denitive version will be subsequently published in Computers and structures, 2012Computers and structures, , 10.1016Computers and structures, /j.compstruc.2012 Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Problems including both material and geometric nonlinearities are of practical engineering importance in many applications. Efficient computational modelling of these problems with minimum computer resources remains challenging. Often these problems are modelled with the finite element method (FEM) with adaptive analysis, in which an error estimation procedure automatically determines regions for coarse and fine discretization. Meshless methods offer the attractive possibility of simpler adaptive procedures involving no remeshing, simply insertion or deletion of nodes. However, as meshless methods are computationally more expensive than the FEM, the use of the minimum possible number and proper distribution of nodes are important issues. In this study an adaptive meshless approach for nonlinear solid mechanics is developed based on the element free Galerkin method. An existing error estimation procedure for linear elasto-static problems, is extended here for nonlinear problems including finite deformation and elasto-plasticity, and a new adaptive procedure is described and demonstrated.

show abstract

“…The extended FEM (XFEM) [12] and meshless methods [13] using nodal enrichment techniques, which can model crack propagation without remeshing, have been proposed more recently as alternatives to tackle the difficulties faced by the FEM in crack propagation modelling. Serious crack propagation problems both in statics and dynamics have been solved with these two methods [14][15][16][17]. However, fine meshes (in the case of XFEM) and fine nodal distributions (in the case of meshless methods), are still needed, especially when the crack paths are unknown in advance [18].…”

Section: Introductionmentioning

confidence: 99%

A fully automatic polygon scaled boundary finite element method for modelling crack propagation

Dai

Augarde

et al. 2015

Engineering Fracture Mechanics

View full text Add to dashboard Cite

2015) 'A fully automatic polygon scaled boundary nite element method for modelling crack propagation.', Engineering fracture mechanics., 133 . pp. 163-178. Further information on publisher's website:http://dx.doi.org/10.1016/j.engfracmech.2014.11.011Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Engineering Fracture Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reected in this document. Changes may have been made to this work since it was submitted for publication. A denitive version was subsequently published in Engineering Fracture Mechanics, 133, January 2015, 10.1016/j.engfracmech.2014.11.011. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.

show abstract

A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures

Cited by 287 publications

References 34 publications

An experimental/numerical investigation into the main driving force for crack propagation in uni-directional fibre-reinforced composite laminae

An experimental/numerical investigation into the main driving force for crack propagation in uni-directional fibre-reinforced composite laminae

Finite deformation elasto-plastic modelling using an adaptive meshless method

A fully automatic polygon scaled boundary finite element method for modelling crack propagation

Contact Info

Product

Resources

About