An XFEM approach for modelling delamination in composite laminates

Yazdani, Saleh; Rust, Wilhelm; Wriggers, Peter

doi:10.1016/j.compstruct.2015.09.035

Cited by 50 publications

(15 citation statements)

References 33 publications

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“…Because of the constant shear strain distribution of FSDT in multilayered composite laminates, a shear correction factor has to be introduced. In order to avoid locking phenomena, the shear strains are replaced by an assumed transverse shear strain, see and for details.…”

Section: Formulationmentioning

confidence: 99%

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Delamination growth in composite laminates of variable stiffness

Yazdani

Rust

Wriggers

2016

Numerical Meth Engineering

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SUMMARYThe production of new composite laminates with variable stiffness within the surface of plies was enabled by tow-placement machines. Because of the variation of stiffness, these materials are called variable stiffness composite laminates (VSCL). Recently, many attempts were made to investigate their structural behaviour. In this contribution, a first-order shear deformation theory is selected to model the multilayered composite laminates. The adopted theory is enhanced by the extended finite element method (XFEM) to describe discontinuities at element level of any interface of interest. To predict the location of the delamination onset, a traction-separation law is developed that is consistent with the XFEM topology. An exponential softening behaviour is implemented within the interface to model the delamination growth in a mixed-mode direction. In order to solve the non-linear equations of the delamination propagation, an arc-length method is applied. The effect of the curvilinear fibre orientation on the location of the delamination onset is investigated. Subsequently, the structural response of the laminates is computed. According to the simplicity of the new approach using the XFEM; and based on the computational cost for calculating the stiffness of VSCL, the method is able to determine structural response of VSCL with less computational effort.

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Section: Formulationmentioning

confidence: 99%

“…In order to avoid instability problems in solving the non‐linear interface formulation, a Lobatto integration scheme is employed for the numerical integration. This integration leads to a robust scheme, see and for details.…”

Section: Formulationmentioning

confidence: 99%

Delamination growth in composite laminates of variable stiffness

Yazdani

Rust

Wriggers

2016

Numerical Meth Engineering

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“…Patil et al used the XFEM to evaluate the elastic properties of heterogeneous materials. Yazdani et al applied the XFEM to investigate the delamination problem in composite laminates. Based on the XFEM, Shi et al used a kind of reduction technique to model the hydraulic fracture propagation in formations containing water.…”

Section: Introductionmentioning

confidence: 99%

The improvement of crack propagation modelling in triangular 2D structures using the extended finite element method

Chen

Zhou

Berto

2018

Fatigue Fract Eng Mat Struct

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In this paper, a novel geometric method combined with the piecewise linear function method is introduced into the extended finite element method (XFEM) to determine the crack tip element and crack surface element. Then, by combining with the advanced mesh technique, a novel method is proposed to improve the modelling of crack propagation in triangular 2D structure with the XFEM. The numerical tests show that the accuracy, the convergence, and the stability of the XFEM can be improved using the proposed method. Moreover, the applicability of the conventional multiple enrichment scheme is discussed. Compared with the proposed method, the conventional multiple enrichment scheme has deficiency in mixed mode I and II crack. Finally, a comparative study shows that the performance of the XFEM by using the proposed method to model the crack propagation can be greatly improved.

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“…Then, several numerical tests are carried out for the linear and non-linear delamination buckling analyses of composite laminates. More tests an details are published in [8]. In the next section, the formulation is briefly described.…”

Section: Introductionmentioning

confidence: 99%

Xfem Analysis – Including Buckling – Of Composite Shells Containing Delamination

Rust¹,

Yazdani²,

Wriggers³

2016

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

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Based on a first-order shear-deformation theory a four-noded shell element is formulated for composite laminates with and without a delamination. Interlaminar stresses are calculated to evaluate a delamination criterion. The presentation will show how and how accurate. Once the danger of delamination is detected the displacement field is enriched in the sense of the eXtended FEM to account for a discontinuity at an arbitrary position. The remaining strength after starting delamination is simulated by a mixed-mode cohesive zone model based on energy release. Contact when reclosing a discontinuity is included. Large rotations are covered by Green's strain. The developed formulation is tested for shell problems by comparing its results with available benchmark tests for in-and out-of-plane load cases. The feasibility and practicality of the presented model and its advantage over the approach using two shell elements at the predefined plane of the discontinuity, connected by a third one, a cohesive zone element, is demonstrated. Then, linear and non-linear buckling analyses for composite laminates containing a delamination are performed. It is shown how imperfections of the delamination type, i.e. concerning the discontinuity, used for nonlinear analysis are based on the modes from linear buckling. The full process from starting with one layer of elements over detecting a delamination to simulating its growth and its interaction with buckling is outlined.

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An XFEM approach for modelling delamination in composite laminates

Cited by 50 publications

References 33 publications

Delamination growth in composite laminates of variable stiffness

Delamination growth in composite laminates of variable stiffness

The improvement of crack propagation modelling in triangular 2D structures using the extended finite element method

Xfem Analysis – Including Buckling – Of Composite Shells Containing Delamination

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