In-situ strength effects in long fibre reinforced composites: A micro-mechanical analysis using the phase field approach of fracture

Guillén-Hernández, T.; Quintana-Corominas, A.; García, Israel García; Reinoso, J.; Paggi, Marco; Turón, A.

doi:10.1016/j.tafmec.2020.102621

Cited by 24 publications

(8 citation statements)

References 69 publications

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“…The current model is actually capable of producing some features of the low-cyclic fatigue regime. The plastic potential ( 21) is monotonic and irreversible, by definition, causing the crack driving state function (30) to increase during the loading cycles, eventually leading to the onset of fracture. On the other hand, it is not able to reproduce the crack initiation, nor the crack growth, when the applied cyclic loads are below the plasticity limit in ductile materials, or the fracture limit in brittle materials, corresponding to the high-cyclic fatigue regime.…”

Section: Fatigue Extensionmentioning

confidence: 99%

“…Certain challenges in the computational treatment of the phasefield fracture method within the finite element framework still exist and have recently become a subject of intensive research, providing some great insights and innovative solutions. In recent years, a considerable number of brittle [22][23][24][25][26][27][28][29][30][31][32] and ductile [33][34][35][36][37][38][39][40][41][42] phase-field fracture formulations have been proposed. These studies range from the modelling of 2D/3D small and large strain deformations, various variational formulations, multi-scale/physics problems, mathematical analysis, different decompositions and discretization techniques with many applications in science and engineering, showing the great potential of this method.…”

Section: Introductionmentioning

confidence: 99%

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A general phase-field model for fatigue failure in brittle and ductile solids

et al. 2021

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In this work, the phase-field approach to fracture is extended to model fatigue failure in high- and low-cycle regime. The fracture energy degradation due to the repeated externally applied loads is introduced as a function of a local energy accumulation variable, which takes the structural loading history into account. To this end, a novel definition of the energy accumulation variable is proposed, allowing the fracture analysis at monotonic loading without the interference of the fatigue extension, thus making the framework generalised. Moreover, this definition includes the mean load influence of implicitly. The elastoplastic material model with the combined nonlinear isotropic and nonlinear kinematic hardening is introduced to account for cyclic plasticity. The ability of the proposed phenomenological approach to naturally recover main features of fatigue, including Paris law and Wöhler curve under different load ratios is presented through numerical examples and compared with experimental data from the author’s previous work. Physical interpretation of additional fatigue material parameter is explored through the parametric study.

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Section: Fatigue Extensionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A general phase-field model for fatigue failure in brittle and ductile solids

et al. 2021

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“…2. PF and CZM have been successfully combined to simulate 2D boundary value problems related to the failure of hybrid laminates and short fiber-reinforced composites [36][37][38][39]. Both modelling strategies are described below; no direct coupling is defined between PF and CZM, implying the assumption that matrix-fibre debonding has a negligible impact on bulk matrix and fibre cracking, and viceversa.…”

Section: Numerical Frameworkmentioning

confidence: 99%

Phase field fracture predictions of microscopic bridging behaviour of composite materials

Tan¹,

Martínez-Pañeda²

2022

Preprint

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We investigate the role of microstructural bridging on the fracture toughness of composite materials. To achieve this, a new computational framework is presented that integrates phase field fracture and cohesive zone models to simulate fibre breakage, matrix cracking and fibre-matrix debonding. The composite microstructure is represented by an embedded cell at the vicinity of the crack tip, whilst the rest of the sample is modelled as an anisotropic elastic solid. The model is first validated against experimental data of transverse matrix cracking from single-notched three-point bending tests. Then, the model is extended to predict the influence of grain bridging, brick-and-mortar microstructure and 3D fibre bridging on crack growth resistance. The results show that these microstructures are very efficient in enhancing the fracture toughness via fibre-matrix debonding, fibre breakage and crack deflection. In particular, the 3D fibre bridging effect can increase the energy dissipated at failure by more than three orders of magnitude, relative to that of the bulk matrix; well in excess of the predictions obtained from the rule of mixtures. These results shed light on microscopic bridging mechanisms and provide a virtual tool for developing high fracture toughness composites.

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“…In contrast, other formulation have been proposed to include interfacial damage within Phase Field by using cohesive elements e.g. in [24,25], but require meshing explicitly the interfaces. This might not be well suited to TO problems, where 3D complex inclusion geometries can be involved, as shown in the next examples.…”

Section: Sensitivity Analysismentioning

confidence: 99%

A SIMP-phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites

Yvonnet

2021

Theoretical and Applied Fracture Mechanics

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We investigate the use of combining SIMP topology optimization and phase field method to fracture for maximizing the fracture resistance of a structure composed of two materials. The optimization problem is formulated with respect to maximizing the external work under the constraint of inclusion volume fraction. The performance and convergence of the proposed algorithm are investigated. It is shown that the fracture resistance can be improved as compared to several guess designs with the same volume fraction of reinforcement (inclusion material). A comparison between the present SIMP and BESO methods is performed, showing a better convergence of the SIMP method, more specifically when a homogeneous initial guess design is used. Applications to 2D and 3D composite structure are presented to show the potential and robustness of the approach.

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In-situ strength effects in long fibre reinforced composites: A micro-mechanical analysis using the phase field approach of fracture

Cited by 24 publications

References 69 publications

A general phase-field model for fatigue failure in brittle and ductile solids

A general phase-field model for fatigue failure in brittle and ductile solids

Phase field fracture predictions of microscopic bridging behaviour of composite materials

A SIMP-phase field topology optimization framework to maximize quasi-brittle fracture resistance of 2D and 3D composites

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