A three-dimensional impact-penetration algorithm with erosion

Belytschko, Ted; Lin, Jerry I.

doi:10.1016/0045-7949(87)90220-3

Cited by 101 publications

(45 citation statements)

References 2 publications

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“…Otherwise, the element is eroded. They showed that in contrast to many other element erosion approaches [66,67,73,74], the eigenerosion approach converges to Griffith fracture with increasing mesh refinement.…”

Section: Element Erosionmentioning

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

161

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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: Element Erosionmentioning

confidence: 99%

“…The easiest way to deal with discrete fracture is the element erosion algorithm [66][67][68][69]. Element erosion algorithms do not require any representation of the crack's topology.…”

Section: Element Erosionmentioning

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

161

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“…Nilsson et al [10], Zhong [11], Oldenburg and Nilsson [12] made detailed surveys of the contact search algorithms. Many algorithms have been proposed to increase the e$ciency, for example, the cell structure [15], bucket sort [16], HITA [10,11] (Hierarchy}territory contact-searching algorithm), position code, etc. Belytschko and Lin [15] seem to have been the "rst to introduce a cell structure to speed up the global search.…”

Section: Introductionmentioning

confidence: 99%

“…Many algorithms have been proposed to increase the e$ciency, for example, the cell structure [15], bucket sort [16], HITA [10,11] (Hierarchy}territory contact-searching algorithm), position code, etc. Belytschko and Lin [15] seem to have been the "rst to introduce a cell structure to speed up the global search. The basic idea is to divide the contact domain into a cell structure and sort the contact elements into cells, the global search will then be performed only with respect to the contact elements inside a cell.…”

Section: Introductionmentioning

confidence: 99%

Contact search strategies for FEM simulation of the blow molding process

Wang

Makinouchi

2000

Int. J. Numer. Meth. Engng.

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“…Even if it is possible to generate discontinuities in the standard FEM model by using the element erosion technique proposed by Belytschko and Lin [1] and implemented in most commercial crash codes such as LS-DYNA or ABAQUS Explicit, the numerical precision of the resolution algorithm becomes difficult to control during the advanced fragmentation process due to difficulties of mass and energy conservation and of contact treatment of newly created non-smooth surfaces. Furthermore, numerical results are strongly dependent on the erosion criterion used, which explains why the FEM simulations with activated erosion struggle to produce quantitatively realistic and predictive results in the presence of strong material discontinuities.…”

Section: Introductionmentioning

confidence: 99%

Using a mixed DEM/FEM approach to model advanced damage of reinforced concrete under impact

Потапов¹,

Masurel²,

Daudeville³

et al. 2016

Int. J. CMEM

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Advanced damage behaviour of reinforced concrete is modelled using a mixed modelling approach, in which concrete is represented through the spherical-type discrete element model, whereas steel reinforcement is modelled by using beam-type finite elements. An original steel-concrete bond model developed and calibrated on pull-out tests is used to ensure transfer of forces between steel and concrete. The proposed approach is applied to simulate soft and hard-type impacts on RC beams within a very complete modelling framework, thus allowing validating by comparison with experimental data the overall numerical approach developed.

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A three-dimensional impact-penetration algorithm with erosion

Cited by 101 publications

References 2 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

Contact search strategies for FEM simulation of the blow molding process

Using a mixed DEM/FEM approach to model advanced damage of reinforced concrete under impact

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