Numerical homogenization of cracking processes in thin fibre-epoxy layers

Alfaro, MV Cid; Suiker, A.S.J.; Verhoosel, Clemens V.; Borst, de R René

doi:10.1016/j.euromechsol.2009.09.006

Cited by 59 publications

(41 citation statements)

References 25 publications

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“…By doing homogenization for adhesive cracks, in [14] the existence of an RVE for softening materials (under tensile and mixed-mode loading) which exhibit diffusive damage has been reported. The same result has been recently presented in [15] for fibre-epoxy material that shows discrete cracking. Very recently, in [17] the authors have proved the existence of an RVE for softening materials, for both adhesive and cohesive cracks, by deriving a traction-separation law from the microscopic inelastic stresses and strains.…”

Section: Introductionsupporting

confidence: 69%

“…For a complete analysis on the sample size dependency of the homogenized stress-strain diagrams for quasi-brittle materials with a random microstructure, see [11]. On the contrary, for interface homogenization [15,14] 5 , the linear response is inversely proportional to the width of the sample i.e., being E/w for one dimensional problems. Obviously, both bulk and interface homogenizations based on standard averaging theorems give results which are not objective to the micro sample size.…”

Section: Standard Averaging Techniquesmentioning

confidence: 99%

“…In the spirit of the latter, there is a direct coupling between macro model and micro models. Figure (21) gives an schematic representation of existing computational homogenization methods for bulk material [6,7,5,8], material layers (or interfaces) [13,15,14,12] and cohesive cracks [17]. This section presents computational homogenization schemes for both cohesive and adhesive cracks using the homogenization relations developed in Section 4.…”

Section: Bulk Homogenizationmentioning

confidence: 99%

“…In the past two years homogenization schemes for adhesive cracks (or material layers) [12,13,14,15] and cohesive cracks [16,17] have been developed in which a traction-separation law is obtained based upon finite element computations at the microscale wherein the complex microstructure of the material have been explicitly modelled. By doing homogenization for adhesive cracks, in [14] the existence of an RVE for softening materials (under tensile and mixed-mode loading) which exhibit diffusive damage has been reported.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks

Nguyen

Lloberas-Valls

Stroeven

et al. 2011

Computer Methods in Applied Mechanics and Engineering

136

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The existence of a representative volume element (RVE) for a class of quasi-brittle materials having a random heterogeneous microstructure in tensile, shear and mixed mode loading is demonstrated by deriving traction-separation relations, which are objective with respect to RVE size. A computational homogenization based multiscale crack modelling framework, implemented in an FE 2 setting, for quasi-brittle solids with complex random microstructure is presented. The objectivity of the macroscopic response to the micro sample size is shown by numerical simulations. Therefore, a homogenization scheme, which is objective with respect to macroscopic discretization and microscopic sample size, is devised. Numerical examples including a comparison with direct numerical simulation are given to demonstrate the performance of the proposed method.

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Section: Introductionsupporting

confidence: 69%

Section: Standard Averaging Techniquesmentioning

confidence: 99%

Section: Bulk Homogenizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks

Nguyen

Lloberas-Valls

Stroeven

et al. 2011

Computer Methods in Applied Mechanics and Engineering

136

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“…This case is closely related to the multiscale models presented in Refs. [8,21] and bears similarities with the coupled volume model introduced in Ref. [22].…”

Section: Adhesive Interface Constitutive Behaviourmentioning

confidence: 99%

Computational homogenization for adhesive and cohesive failure in quasi‐brittle solids

Verhoosel

Remmers

Gutiérrez

et al. 2010

Numerical Meth Engineering

121

111

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SUMMARYA computational multiscale framework is proposed that incorporates microstructural behaviour in a macroscale discrete fracture model. Homogenisation procedures are derived for both adhesive and cohesive failure on the macroscale and are implemented in an FE 2 -setting. The most important feature of the homogenisation procedure is that it implicitly defines a traction-opening relation for the macroscale fracture model. The representativeness of the micro models is studied using a onedimensional example, which shows that in the softening regime the proposed multiscale scheme behaves different from a bulk homogenisation scheme. These results are also observed in a numerical simulation for a micro model with a periodic microstructure. Numerical simulations further demonstrate the applicability of the method.

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XFEM Modeling of Interface Failure in Adhesively Bonded Fiber‐Reinforced Polymers

et al. 2015

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This paper addresses the multi-scale simulation of heterogeneous materials with a special emphasis on the modeling of internal discontinuities. In a homogenization context the local material structure is discretized by the extended finite element method which uses an enriched displacement approximation in combination with a cohesive zone model. This approach is applied to predict the effective material behavior of a fiber reinforced polymer and is then used to investigate the interaction of the fiber-matrix interface with an adhesive layer. All simulations are validated by corresponding experimental data.

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Numerical homogenization of cracking processes in thin fibre-epoxy layers

Cited by 59 publications

References 25 publications

Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks

Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks

Computational homogenization for adhesive and cohesive failure in quasi‐brittle solids

XFEM Modeling of Interface Failure in Adhesively Bonded Fiber‐Reinforced Polymers

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