A combined implicit–explicit algorithm in time for non‐linear finite element analysis

Curiel-Sosa, J.L.; Neto, E. A. de Souza; Owen, D. R. J.

doi:10.1002/cnm.804

Cited by 16 publications

(2 citation statements)

References 13 publications

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“…In this manner, the steady-state solution, i.e. after an initial transient, represents the solution to the quasi-static problem (Curiel Sosa et al, 2006).…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Modelling of mixed damage on fibre reinforced composite laminates subjected to low velocity impact

Curiel-Sosa

Phaneendra

2012

International Journal of Damage Mechanics

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still recurring subjects of debate (Daniel, 2007). Cohesive elements have become very popular as discontinuities may efficiently be simulated, e.g. splitting due to delamination (Camanho and Mathews, 1999;Camanho et al., 2003;Tvergaard, 2004;Iannucci and Willows, 2006). An up-todate review can be found in Wisnom (2010). The proposed technique admits linkage to cohesive elements, although this is not attempted at this time.The proposed technique is framed on the thermodynamics of irreversible process following Chaboche (1992). Other interesting thermodynamical approaches for damage mechanics of composites are also found in literature, e.g. Simo and Ju (1987), Turon et al. (2006), amongst others. From a purely damage mechanics point of view, the main features of the proposed technique are the computation of paths of damages which provide an effective localisation of the different damage modes and, second, the computation of damage on the strain space through the generation of a mapping between the strain and stress spaces where the so-called normalised energy release rates are readily computed. Thus, the undamaged domain is defined on the strain space bounded for a set of quadratic damage surfaces. The approach is based on computing the damage at quadrature points, i.e. gauss points, within each finite element, forming the mesh of the composite which is performed in the strain space. Moreover, fracture energy -modes I and II -can be added to the model and mapped onto to the strain space following an analogous strategy. This last point permits to treat all the variables associated to failure on the composite in a progressive manner which provides higher stability and convergence in the explicit finite element method (XPFEM) procedure, as the removal of a finite element often causes oscillations when using XPFEM, creating instability, and, eventually, divergence (Camanho et al., 2001).This article is outlined as follows. First, the thermodynamical background, in which the technique is framed, is briefly presented. Second, definition of the measurements of stress utilised are provided. Third, damage components of the technique are described. Fourth, the integration within XPFEM is presented in some detail. Finally, numerical results and discussion are provided. Additionally, an appendix containing relevant tensors is included.

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“…In this manner, the steady-state solution, i.e. after an initial transient, represents the solution to the quasi-static problem (Curiel Sosa et al, 2006).…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Modelling of mixed damage on fibre reinforced composite laminates subjected to low velocity impact

Curiel-Sosa

Phaneendra

2012

International Journal of Damage Mechanics

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“…It is a relatively new method which builds on the Finite Element Method (FEM) [37]. In particular, an explicit solver [38,39] for FEM is used herein. XFEM is a FEM in which enrichment functions -interpolation-are added to the standard approximation.…”

Section: Extended Finite Element Methods Featuresmentioning

confidence: 99%

What triggers a microcrack in printed engineering parts produced by selective laser sintering on the first place?

et al. 2015

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The proximity of un-melted particles within Selective Laser Sintered (SLS) printed engineering parts made of nylon-12 is found as a major triggering effect for cracking and ultimately failure. The numerical investigation, by means of the eXtended Finite Element Method (XFEM), was performed over samples with different arrangements of un-melted particles obtained experimentally . The onset and propagation of microcracks was simulated. This included inherently how the degree of particle melt (DPM) in SLS parts affects and controls both crack initiation and propagation. The results evidenced that a microcrack started invariably between the two closest un-melted particles in all numerical tests performed considering different arrangements of un-melted particles.

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III European Conference on Computational Mechanics

Motasoares¹,

Martins²,

Rodrigues³

et al. 2006

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A combined implicit–explicit algorithm in time for non‐linear finite element analysis

Cited by 16 publications

References 13 publications

Modelling of mixed damage on fibre reinforced composite laminates subjected to low velocity impact

Modelling of mixed damage on fibre reinforced composite laminates subjected to low velocity impact

What triggers a microcrack in printed engineering parts produced by selective laser sintering on the first place?

III European Conference on Computational Mechanics

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