X-FEM modeling of dynamic ductile fracture problems with a nonlocal damage-viscoplasticity model

Broumand, Pooyan; Khoei, A.R.

doi:10.1016/j.finel.2015.01.002

Cited by 16 publications

(11 citation statements)

References 55 publications

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“…Mesh independence is also confirmed by Broumand and Khoei (2015), who used a similar technique with a non local gradient damage model. Broumand and Khoei (2015) tested their method on 2D configurations with holes, which are close to the void growth and coalescence problems that are targeted in the present review. Their results are promising for future developments regarding matrix micro-cracking, given that these crack initiation and propagation criteria can be extended to 3D.…”

Section: Continuum Damage Modelsmentioning

confidence: 68%

“…On the one hand, when it comes to fracture problems at room temperature, the Lemaitre model seems to be adopted by most researchers (Vaz and Owen (2001) (2013)), for instance to model cold metal forming processes. It can be coupled to the Johnson-Cook elasto-viscoplastic model to address rate dependent problems (Broumand and Khoei (2015)). The Lemaitre model is based on a damage variable D and an effective stress definition σ eff = σ , first proposed by Kachanov (1958), which cor-1 D rects the conventional stress tensor σ to account for the presence of voids.…”

Section: Modelsmentioning

confidence: 99%

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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: 68%

Section: Modelsmentioning

confidence: 99%

Computational Methods for Ductile Fracture Modeling at the Microscale

Shakoor

Navas

Muñoz

et al. 2018

Arch Computat Methods Eng

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show abstract

“…Therefore, the standard Gauss points cannot be merely replaced during the analysis, as it is performed in the present implementation of the subdivision of elements and mapping method. In such case, strategies of Simone et al (2003), Unger et al (2007), Seabra et al (2011), Broumand and Khoei (2013, 2015), Wang and Waisman (2016) and Svenning et al (2019) can be considered to manage the transfer of state variable from the original to the new integration point.…”

Section: Discussionmentioning

confidence: 99%

On the numerical integration in generalized/extended finite element method analysis for crack propagation problems

Campos

Barros

Penna

2020

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Purpose The purpose of this paper is to evaluate some numerical integration strategies used in generalized (G)/extended finite element method (XFEM) to solve linear elastic fracture mechanics problems. A range of parameters are here analyzed, evidencing how the numerical integration error and the computational efficiency are improved when particularities from these examples are properly considered. Design/methodology/approach Numerical integration strategies were implemented in an existing computational environment that provides a finite element method and G/XFEM tools. The main parameters of the analysis are considered and the performance using such strategies is compared with standard integration results. Findings Known numerical integration strategies suitable for fracture mechanics analysis are studied and implemented. Results from different crack configurations are presented and discussed, highlighting the necessity of alternative integration techniques for problems with singularities and/or discontinuities. Originality/value This study presents a variety of fracture mechanics examples solved by G/XFEM in which the use of standard numerical integration with Gauss quadratures results in loss of precision. It is discussed the behaviour of subdivision of elements and mapping of integration points strategies for a range of meshes and cracks geometries, also featuring distorted elements and how they affect strain energy and stress intensity factors evaluation for both strategies.

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“…The major advantage of these methods for problems in materials science is the simplification of the modelling of discontinuous phenomena. As already mentioned, in conventional finite element methods, the mesh has to be constructed so that element edges/faces coincide with the crack surface and nodes must be placed on each side of the crack to allow material separation along the crack surface [15], [16]. The representation of level set defines delamination crack by 2 fields which are orthogonally placed.…”

Section: Combination With Level Setsmentioning

confidence: 99%