A numerical framework to analyze fracture in composite materials: From R-curves to homogenized softening laws

Herráez, M.; González, C.; Lopes, C.S.

doi:10.1016/j.ijsolstr.2017.10.031

Cited by 32 publications

(15 citation statements)

References 39 publications

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“…Both glass fibre and epoxy matrix are assumed to be linear elastic, isotropic solids. A cohesive surface contact between fibre and matrix is defined and follows a traction-separation law with the properties given in Table 1, where the interfacial tensile strength is assumed to be two-thirds of the shear strength, σ N I = 2σ S I /3 [8]. To compare the effect of matrix cracking and interface debonding more directly, we choose two sets of material parameters: The predicted stress-strain responses of single edge cracked plate made from bulk matrix and fibre-reinforced composites are summarised in Fig.…”

Section: Singe-edge Cracked Plate Subjected To Tensionmentioning

confidence: 99%

“…We proceed to simulate three-point bending (TPB) experiments on a notched beam to predict the microscale crack topology and the matrix-dominated toughness of the composite lamina. This is achieved by means of an embedded cell model, following the approach developed in [8,10]. As shown in Fig.…”

Section: Single-edge Notched Three-point Bending Testmentioning

confidence: 99%

“…This makes possible to (virtually) optimise the material properties by changing the properties of the constituents. It can also provide the homogenized constitutive behaviour of the composite material, which can then be transferred to simulations at a larger length scale [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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Phase field predictions of microscopic fracture and R-curve behaviour of fibre-reinforced composites

Tan

Martínez‐Pañeda

2021

Composites Science and Technology

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We present a computational framework to explore the effect of microstructure and constituent properties upon the fracture toughness of fibre-reinforced polymer composites. To capture microscopic matrix cracking and fibre-matrix debonding, the framework couples the phase field fracture method and a cohesive zone model in the context of the finite element method. Virtual single-notched three point bending tests are conducted. The actual microstructure of the composite is simulated by an embedded cell in the fracture process zone, while the remaining area is homogenised to be an anisotropic elastic solid. A detailed comparison of the predicted results with experimental observations reveals that it is possible to accurately capture the crack path, interface debonding and load versus displacement response. The sensitivity of the crack growth resistance curve (R-curve) to the matrix fracture toughness and the fibre-matrix interface properties is determined. The influence of porosity upon the R-curve of fibre-reinforced composites is also explored, revealing a stabler response with increasing void volume fraction. These results shed light into microscopic fracture mechanisms and set the basis for efficient design of high fracture toughness composites.

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Section: Singe-edge Cracked Plate Subjected To Tensionmentioning

confidence: 99%

Section: Single-edge Notched Three-point Bending Testmentioning

confidence: 99%

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Phase field predictions of microscopic fracture and R-curve behaviour of fibre-reinforced composites

Tan

Martínez‐Pañeda

2021

Composites Science and Technology

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“…The most widely used are periodic RVEs including periodic boundary conditions (PBC) to characterize the elastic and inelastic behaviors of heterogeneous materials up to deformation localization [7][8][9][10][11][12][13]. It is important to note that PBC are not appropriate to study damage processes, for that purpose embedded cell models are often considered [14,15]. Finally, other modelling schemes can be found such as the extended RVE concept developed by [16], which avoids the periodicity requirement.…”

Section: Introductionmentioning

confidence: 99%

A microstructures generation tool for virtual ply property screening of hybrid composites with high volume fractions of non-circular fibers – VIPER

Herráez

Segurado

González

et al. 2020

Composites Part A: Applied Science and Manufacturing

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Within the framework of computational micromechanics (CMM), a simulation toolset is being developed to predict the mechanical behavior of fiber-reinforced polymers from the measured properties and spatial distribution of the different phases and interfaces in the composite. Towards this end, a numerical methodology is proposed herein for the generation of 2D periodic microstructures with arbitrary fiber geometries. A major advantage of the approach presented in this work is the ability of generating high volume fractions of non-circular fibers very efficiently. The underlying algorithm is based on the minimization of fiber overlapping by dynamic translation and rotation of the fibers until intersections are eliminated. The randomness of the microstructures obtained is assessed by means of multiple spatial descriptors.

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“…They also provided the clarification regarding the minimum number of interface elements within the cohesive zone. Herráez et al [19] developed a numerical framework to obtain the crack resistance curve and its corresponding softening law for fracture analysis in composite materials under small scale bridging. A methodology to determine the constitutive parameters for the simulation of progressive delamination, taking into account the size of a cohesive finite element and the length of the cohesive zone and ensuring the correct dissipation of energy, was proposed by Turon et al [20].…”

Section: Introductionmentioning

confidence: 99%

Mode I Interlaminar Fracture of Glass/Epoxy Unidirectional Laminates. Part II: Numerical Analysis

et al. 2019

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The paper deals with numerical analysis of double cantilever beam (DCB) predefined to Mode I Interlaminar Fracture Tests of GRFP unidirectional laminates. The numerical analyses were performed in the ANSYS® program based on the finite element. In geometrically nonlinear analysis, two algorithms, responsible for initiation and propagation of delamination front, were applied: Virtual Crack Closure Technique (VCCT) and Cohesive zone method (CZM). Due to the unidirectional arrangement of layers of the laminate, the problem of DCB test was solved with the use of one- and three-dimensional models with the implementation of linear interface element and contact element. The present study highlights the limitations of existing formulae used to reliably reflect the behavior of DCB. The use of three-dimensional models allowed confirming the curved shape of the delamination front observed in experimental studies. The application of the VCCT in the three-dimensional model led to an underestimation of the global response (force–opening displacement curve) recorded during numerical DCB test.

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A numerical framework to analyze fracture in composite materials: From R-curves to homogenized softening laws

Cited by 32 publications

References 39 publications

Phase field predictions of microscopic fracture and R-curve behaviour of fibre-reinforced composites

Phase field predictions of microscopic fracture and R-curve behaviour of fibre-reinforced composites

A microstructures generation tool for virtual ply property screening of hybrid composites with high volume fractions of non-circular fibers – VIPER

Mode I Interlaminar Fracture of Glass/Epoxy Unidirectional Laminates. Part II: Numerical Analysis

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