Some numerical issues on the use of XFEM for ductile fracture

Seabra, Mariana R. R.; de, Jose Cesar; Šuštarič, Primož; Rodič, Tomaž

doi:10.1007/s00466-012-0694-x

Cited by 18 publications

(4 citation statements)

References 51 publications

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“…Their results are promising for future developments regarding matrix micro-cracking, given that these crack initiation and propagation criteria can be extended to 3D. The results presented by Pourmodheji and Mashayekhi (2012) and Seabra et al (2012) are also restricted to 2D. These techniques coupling a CDM to the X-FEM are compatible with micromechanical models, as shown M M by Crété et al (2014), who used a modified Gursonbased model.…”

Section: Continuum Damage Modelsmentioning

confidence: 91%

Computational Methods for Ductile Fracture Modeling at the Microscale

Shakoor

Navas

Muñoz

et al. 2018

Arch Computat Methods Eng

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This paper is a state-of-the-art review of computational damage and fracture mechanics methods applied to model ductile fracture at the microscale. An emphasis is made on robust and stable methods that can handle heterogeneous structures, large deformations, and cracks initiation and coalescence. Ductile materials' microstructures feature brittle and ductile components whose heterogeneous behavior can give raise to cracks initiation due to stress concentration. Due to large deformations, cracks initiated by brittle components failure transform into large voids. These major voids interact and coalesce by plastic localization within ductile components and lead to final failure. This process can involve minor voids nucleated directly within ductile components at sub-micron scales. State-of-the-art discontinuous approaches can be applied to discretize accurately brittle components and model their failure, given that large deformations can be handled. For ductile components, continuous approaches are discussed in this review as they can model the homogenized influence of minor voids, hence alleviating the burden and computational cost overhead that an explicit discretization of those voids would require. Close to final failure, when major voids are coalescing, and the influence of minor voids becomes compa-

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Section: Continuum Damage Modelsmentioning

confidence: 91%

Computational Methods for Ductile Fracture Modeling at the Microscale

Shakoor

Navas

Muñoz

et al. 2018

Arch Computat Methods Eng

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“…In this work, one single procedure was adopted in the use of the XFEM method, although it is recognized that further improvements could be possible in the description of copper and other ductile materials [21,22]. The Hamaker constant, A, (in Joules), represents the strength of van der Waals interactions forces between macroscopic bodies and can be roughly defined as a material property.…”

Section: Model Descriptionmentioning

confidence: 99%

Numerical Modeling of Adhesion and Adhesive Failure During the Unidirectional Contact Between Metallic Surfaces

Bortoleto¹,

Prados²,

Seriacopi³

et al. 2014

ABM Proceedings

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A finite element modeling approach was developed to study adhesion phenomena during the unidirectional contact between a two-dimensional plane-strain square and a flat slab. Surfaces were metallic or ceramic, different pairs of materials were analyzed and their adhesion was considered by means of a FORTRAN subroutine (DLOAD), which was connected with commercial finite element code Abaqus and provided surface attractive forces based on the Lennard-Jones interatomic potential. Adhesive loads were considered both during approximation and separation of the surfaces. During the separation step, material transfer between surfaces, due to adhesion, was modeled by means of damage initiation and propagation at the flat slab. The parameters considered in the simulations were normal load, chemical affinity and system size and the different conditions were analyzed by comparison of the interaction forces during approach and withdrawal. This work also presents detailed descriptions of: (i) the evolution of energy dissipation due to adhesion hysteresis, (ii) the formation-growth-breakage of adhesive junctions and (iii) the evolution of stress distribution during the process. Results have indicated that chemical affinity between the bodies in contact is more relevant for adhesion than the applied load. Besides, smaller asperities are less prone to promote adhesive wear, but they may be subjected to high stress concentration effects.

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“…The main advantage is that the crack can be propagated within the mesh without any remeshing. However, the need of remeshing in ductile fracture is essential especially in large deformations which makes the use of XFEM very limited due to the complexity of the transfer of fields after remeshing and applying the incompressibility constraints [18].…”

Section: Introductionmentioning

confidence: 99%