Cracking node method for dynamic fracture with finite elements

Song, Jeong‐Hoon; Belytschko, Ted

doi:10.1002/nme.2415

Cited by 129 publications

(97 citation statements)

References 56 publications

(71 reference statements)

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“…In contrast to XFEM, no crack path continuity is required in the Cohesive Segment Method. A similar approach was developed by Song and Belytschko [184] in the Cracking Node Method. In the Cracking Node Method, the crack is required to directly pass through the node of an element.…”

Section: Cohesive Segment Methods and Cracking Node Methodmentioning

confidence: 99%

See 1 more Smart Citation

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

162

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An overview of computational methods to model fracture in brittle and quasi-brittle materials is given. The overview focuses on continuum models for fracture. First, numerical difficulties related to modelling fracture for quasi-brittle materials will be discussed. Different techniques to eliminate or circumvent those difficulties will be described subsequently. In that context, regularization techniques such as nonlocal models, gradient enhanced models, viscous models, cohesive zone models, and smeared crack models will be discussed. The main focus of this paper will be on computational methods for discrete fracture (discrete cracks). Element erosion technques, inter-element separation methods, the embedded finite element method (EFEM), the extended finite element method (XFEM), meshfree methods (MMs), boundary elements (BEMs), isogeometric analysis, and the variational approach to fracture will be reviewed elucidating advantages and drawbacks of each approach. As tracking the crack path is of major concern in computational methods that preserve crack path continuity, one section will discuss different crack tracking techniques. Finally, cracking criteria will be reviewed before the paper ends with future research perspectives.

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Section: Cohesive Segment Methods and Cracking Node Methodmentioning

confidence: 99%

“…The cracking particles method might suffer from spurious crack patterns [236,237]. However, they can be eliminated by a set of simple crack injection rules [184]. Firstly, one has to distinguish between crack propagation and crack initiation.…”

Section: Cracking Particles Methodmentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

162

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“…However, simply deleting the elements containing branched cracks is just an expedient and the accuracy and feasibility needs to be further demonstrated. A new cracking node method for modeling discrete cracks based on XFEM is also demonstrated with dynamic fracture problems including crack branching by Song et al [26]. In the above all, the branching criterion, crack geometry description and construction of mass matrix for the branched element remain the challenge issues of modeling dynamic crack branching by XFEM.…”

Section: Introductionmentioning

confidence: 99%

Modeling of dynamic crack branching by enhanced extended finite element method

Liu

et al. 2014

Comput Mech

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The conventional extended finite element method (XFEM) is enhanced in this paper to simulate dynamic crack branching, which is a top challenge issue in fracture mechanics and finite element method. XFEM uses the enriched shape functions with special characteristics to represent the discontinuity in computation field. In order to describe branched cracks, it is necessary to set up the additional enrichment. Here we have developed two kinds of branched elements, namely the "element crossed by two separated cracks" and "element embedded by a junction". Another series of enriched degrees of freedom are introduced to seize the additional discontinuity in the elements. A shifted enrichment scheme is used to avoid the treatment of blending element. Correspondingly a new mass lumping method is developed for the branched elements based on the kinetic conservation. The derivation of the mass matrix of a fournode quadrilateral element which contains two strong discontinuities is specially presented. Then by choosing crack speed as the branching criterion, the branching process of a single mode I crack is simulated. The results including the branching angle and propagation routes are compared with that obtained by the conventionally used element deletion method.

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“…Different alternatives have been adopted to model crack nucleation and propagation in a dynamic setting. For instance works involving fracture in dynamic problems have been addressed by Falk et al [7], Pandolfi et al [26], Song and Belytschko [35] and Linder and Armero [16], where cracks are inserted between FE (inter-elemental) and inside the FE support (intra-elemental). Other techniques tackle the strain localization phenomena by considering supra-elemental bands such as phase-field modeling [2,11,19] and gradient damage models [15].…”

Section: Introductionmentioning

confidence: 99%

Crack Path Field and Strain Injection Techniques in Dynamic Fracture Simulations

Lloberas-Valls¹,

Huespe²,

Oliver³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. Dynamic fracture phenomena are studied employing low cost computational tools based on Finite Elements with Embedded strong discontinuities (E-FEM). Fracture nucleation and propagation are accounted for through the injection of discontinuous strain and displacement modes inside the finite elements. The Crack Path Field technique is employed to compute the trace of the strong discontinuity during fracture propagation.Unstable crack propagation and crack branching are observed upon increasing loading rates. The variation in terms of crack pattern and energy dissipation is studied and a good correlation is found between the maximum experimental crack speed and maximum dissipation at the onset of branching. Comparable results are obtained against simulations employing supraelemental techniques, such as phase-field and gradient damage models, considering coarser discretizations which can differ by two orders of magnitude.

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Cracking node method for dynamic fracture with finite elements

Cited by 129 publications

References 56 publications

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Modeling of dynamic crack branching by enhanced extended finite element method

Crack Path Field and Strain Injection Techniques in Dynamic Fracture Simulations

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