An enriched shell element formulation for efficient modeling of multiple delamination propagation in laminates

Brouzoulis, Jim; Fagerström, Martin

doi:10.1016/j.compstruct.2015.02.055

Cited by 16 publications

(15 citation statements)

References 21 publications

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“…The primary focus of the current paper is to propose an adaptive enrichment concept for modelling arbitrary delaminations in laminated composites. To set the stage for this, we start by briefly presenting the adopted shell framework proposed by Brouzoulis and Fagerström [28]. This is based on a kinematical representation involving three interrelated domains: the inertial Cartesian domain B C , the undeformed (reference) domain B 0 and the deformed domain B with pertinent mappings, see Figure 1.…”

Section: Shell Formulation For Multiple Delaminationsmentioning

confidence: 99%

“…Following [28], we have that the reference domain B 0 of the shell is considered parametrised in terms of convected (co-variant) coordinates = ( 1 , 2 , 3 = ). This means that a point in the inertial domain is mapped to a corresponding point X in the undeformed domain via the mapping Reprinted with permission from [28].…”

Section: Initial Shell Geometrymentioning

confidence: 99%

“…In the latter contribution, a shell element based on the isogeometric analysis concept is extended to model propagating delamination by modifying the knot-vector associated with the thickness interpolation. Just recently, the enriched shell modelling concept was extended by Brouzoulis and Fagerström to include an arbitrary number of delaminations [28] and intralaminar [29] cracks, although without explicitly addressing the adaptive nature of initiating and propagating cracks.…”

Section: Introductionmentioning

confidence: 99%

“…However, if the methods are to be useful, they must be used in a methodology, which is able to assess when and where to insert the enrichments. In this paper, we will therefore propose a concept, based on the work in [28], which during a simulation is able to adaptively add delamination enrichments to areas where delamination is predicted, thus keeping the additional computational expense limited.…”

Section: Introductionmentioning

confidence: 99%

“…To summarise, we will in this paper extend the work in [28] by introducing a methodology capable of adaptively adding enrichments to model arbitrary delaminations in an ESL framework, keeping the additional computational cost associated with delamination modelling limited. To achieve this, we will in this paper focus on investigating the parameters associated with identifying delaminations and introducing and extending the delamination enrichments.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive modelling of delamination initiation and propagation using an equivalent single‐layer shell approach

Främby

Fagerström

Brouzoulis

2017

Numerical Meth Engineering

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A major challenge for crash failure analysis of laminated composites is to find a modelling approach, which is both sufficiently accurate, for example, able to capture delaminations, and computationally efficient to allow full-scale vehicle crash simulations. Addressing this challenge, we propose a methodology based on an equivalent single-layer shell formulation which is adaptively through-the-thickness refined to capture initiating and propagating delaminations. To be specific, single shell elements through the laminate thickness are locally and adaptively enriched using the extended finite element method such that delaminations can be explicitly modelled without having to be represented by separate elements. Furthermore, the shell formulation is combined with a stress recovery technique which increases the accuracy of predicting delamination initiations. The paper focuses on the parameters associated with identifying, introducing and extending the enrichment areas; especially on the impact of these parameters on the resulting structural deformation behaviour. We conclude that the delamination enrichment must be large enough to allow the fracture process to be accurately resolved, and we propose a suitable approach to achieve this. The proposed methodology for adaptive delamination modelling shows potential for being computationally efficient, and thereby, it has the potential to enable efficient and accurate full vehicle crash simulations of laminated composites. § We acknowledge that this work only considers parameters to model mode I delamination; however, we will consider these guidelines also for mode II delamination modelling.

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Section: Shell Formulation For Multiple Delaminationsmentioning

confidence: 99%

Section: Initial Shell Geometrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive modelling of delamination initiation and propagation using an equivalent single‐layer shell approach

Främby

Fagerström

Brouzoulis

2017

Numerical Meth Engineering

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Efficient modelling of delamination growth using adaptive isogeometric continuum shell elements

2019

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The computational efficiency of CAE tools for analysing failure progression in large layered composites is key. In particular, efficient approximation and solution methods for delamination modelling are crucial to meet today's requirements on virtual development lead times. For that purpose, we present here an adaptive continuum shell element based on the isogeometric analysis framework, suitable for the modelling of arbitrary delamination growth. To achieve an efficient procedure, we utilise that, in isogeometric analysis, the continuity of the approximation field easily can be adapted via so-called knot insertion. As a result, the current continuum shell provides a basis for an accurate but also computationally efficient prediction of delamination growth in laminated composites. Results show that the adaptive modelling framework works well and that, in comparison to a fully resolved model, the adaptive approach gives significant time savings even for simple analyses where major parts of the domain exhibit delamination growth.

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A unified formulation for composite quasi-3D elements based on global–local superposition—part I: element formulation

Faria

2022

J Braz. Soc. Mech. Sci. Eng.

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An enriched shell element formulation for efficient modeling of multiple delamination propagation in laminates

Cited by 16 publications

References 21 publications

Adaptive modelling of delamination initiation and propagation using an equivalent single‐layer shell approach

Adaptive modelling of delamination initiation and propagation using an equivalent single‐layer shell approach

Efficient modelling of delamination growth using adaptive isogeometric continuum shell elements

A unified formulation for composite quasi-3D elements based on global–local superposition—part I: element formulation

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