Modelling of failure in long fibres reinforced composites by X-FEM and cohesive zone model

Bouhala, Lyazid; Makradi, A.; Belouettar, Salim; Kiefer-Kamal, Hassania; Frères, Patrick

doi:10.1016/j.compositesb.2012.12.013

Cited by 65 publications

(29 citation statements)

References 35 publications

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“…In the small strain assumption, the first Piola-Kirchhoff stress can be approximated by the Cauchy stress, i.e., σ ≈ P(x) (4) and the infinitesimal strain can be defined in terms of the deformation gradient such as…”

Section: Classical Continuum Mechanicsmentioning

confidence: 99%

“…Several numerical examples have been used to validate the approach, and compared to other benchmark solution from the finite element method (FEM) and experimental results when available.Fracture mechanics have been studied for nearly a century, from the first work of Griffith [15] for brittle materials. Over the years a number of researchers have modelled fracture mechanics analytically [28,36] for simple problems and geometries, and more commonly using numerical frameworks, such as the extended finite element method (XFEM) [4,27] and the extended boundary element method (XBEM) [16], among many others. Nevertheless, these methods suffer when crack branching or coalescence are involved.The phase-field method has been shown to model crack branching behaviour [1,18].…”

mentioning

confidence: 99%

“…Fracture mechanics have been studied for nearly a century, from the first work of Griffith [15] for brittle materials. Over the years a number of researchers have modelled fracture mechanics analytically [28,36] for simple problems and geometries, and more commonly using numerical frameworks, such as the extended finite element method (XFEM) [4,27] and the extended boundary element method (XBEM) [16], among many others. Nevertheless, these methods suffer when crack branching or coalescence are involved.…”

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confidence: 99%

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A non-ordinary state-based peridynamics framework for anisotropic materials

Hattori

Trevelyan

Coombs

2018

Computer Methods in Applied Mechanics and Engineering

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Peridynamics (PD) represents a new approach for modelling fracture mechanics, where a continuum domain is modelled through particles connected via physical bonds. This formulation allows us to model crack initiation, propagation, branching and coalescence without special assumptions. Up to date, anisotropic materials were modelled in the PD framework as different isotropic materials (for instance, fibre and matrix of a composite laminate), where the stiffness of the bond depends on its orientation. A non-ordinary state-based formulation will enable the modelling of generally anisotropic materials, where the material properties are directly embedded in the formulation. Other material models include rocks, concrete and biomaterials such as bones. In this paper, we implemented this model and validated it for anisotropic composite materials. A composite damage criterion has been employed to model the crack propagation behaviour. Several numerical examples have been used to validate the approach, and compared to other benchmark solution from the finite element method (FEM) and experimental results when available.Fracture mechanics have been studied for nearly a century, from the first work of Griffith [15] for brittle materials. Over the years a number of researchers have modelled fracture mechanics analytically [28,36] for simple problems and geometries, and more commonly using numerical frameworks, such as the extended finite element method (XFEM) [4,27] and the extended boundary element method (XBEM) [16], among many others. Nevertheless, these methods suffer when crack branching or coalescence are involved.The phase-field method has been shown to model crack branching behaviour [1,18]. The method consists in describing the crack as an interface directly in the formulation and is used conjointly to the finite element method (FEM) [35]. Nevertheless, the method requires a fine mesh around the crack to model the interface correctly. Another drawback of the method is that it can provide unrealistic results. A novel numerical method entitled peridynamics (PD) [40] has been recently developed, and has shown great potential in fracture mechanics problems involving initiating, propagating, branching and coalescing cracks.The original peridynamics (PD) formulation was proposed by Silling [40], where he redefined the classical approach for continuum mechanics using an integral framework instead of partial derivatives. The main reason for using this approach is that the partial derivatives pose a challenge when dealing with fracture mechanics problems, since the governing partial differential equations in elasticity imply that singularities will appear due to the presence of discontinuities, which is not desirable. Due to the integral form of the formulation, no special assumptions are needed to deal with singularities, such as a crack in the domain.The first PD formulation described a continuum medium through discrete particles, interacting between each other through physical connections entitled bonds. Each bond has a stif...

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Section: Classical Continuum Mechanicsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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A non-ordinary state-based peridynamics framework for anisotropic materials

Hattori

Trevelyan

Coombs

2018

Computer Methods in Applied Mechanics and Engineering

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“…Although abundant research studies on the XFEM can be found in the literatures, only a few studies exist on the microscopic damage of composites [24]. Bouhala et al [25] studied fiber/matrix debonding in long-fiber reinforced composites using the XFEM and the CZM. Bienias et al [26] investigated fiber fracture in composites under longitudinal tension.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Method for Simulating the Microscopic Damage Evolution in Composites Under Uniaxial Transverse Tension

et al. 2015

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In this paper, a new numerical method that combines a surface-based cohesive model and extended finite element method (XFEM) without predefining the crack paths is presented to simulate the microscopic damage evolution in composites under uniaxial transverse tension. The proposed method is verified to accurately capture the crack kinking into the matrix after fiber/matrix debonding. A statistical representative volume element (SRVE) under periodic boundary conditions is used to approximate the microstructure of the composites. The interface parameters of the cohesive models are investigated, in which the initial interface stiffness has a great effect on the predictions of the fiber/matrix debonding. The detailed debonding states of SRVE with strong and weak interfaces are compared based on the surfacebased and element-based cohesive models. The mechanism of damage in composites under transverse tension is described as the appearance of the interface cracks and their induced matrix micro-cracking, both of which coalesce into transversal macro-cracks. Good agreement is found between the predictions of the model and the in situ experimental observations, demonstrating the efficiency of the presented model for simulating the microscopic damage evolution in composites.

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“…Work on partly cracked XFEM elements with cohesive cracks was performed by Asferg et al [35]. Bouhala et al [36] focused on the interfacial debonding of cracks for long fiber reinforced composites. Other applications include the regularization of the discontinuity at cohesive interfaces for modeling delamination in composites [37] and in the context of a multiscale framework for composites combining XFEM with cohesive zone laws [38].…”

Section: Introductionmentioning

confidence: 99%