Some investigations on 3D homogenization of nano-composite/nano-porous materials with surface effect by FEM/XFEM methods combined with Level-Set technique

Hachi, Brahim Elkhalil; Benkhechiba, Abdelfattah Elhadj; Kired, Mohammed Riad; Hachi, Dahmane; Haboussi, Mohamed

doi:10.1016/j.cma.2020.113319

Cited by 10 publications

(6 citation statements)

References 30 publications

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“…Several numerical methods are being used in these computational micromechanics endeavours, including Continuum Damage Mechanics (CDM) models [15][16][17][18], the Extended Finite Element Method (X-FEM) [19,20], Cohesive Zone Models (CZM) [21] and the Floating Node Method [22]. Despite their effectiveness, these techniques are often limited in capturing complicated crack paths, which naturally result from crack coalescence, branching and bridging events.…”

Section: Matrixmentioning

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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Section: Matrixmentioning

confidence: 99%

Phase field fracture predictions of microscopic bridging behaviour of composite materials

Tan¹,

Martínez-Pañeda²

2022

Preprint

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“…There are various engineering applications calling for the numerical modeling of internal boundaries or interfaces, such as material defects (e.g., pores/voids/cracks 1,2 ), material interfaces (e.g., inclusions in composites 3,4 ) and phase interfaces (e.g. fluid-structure interactions [5][6][7] ).…”

Section: Introductionmentioning

confidence: 99%

“…It should be noted that using background mesh is not a unique feature of embedded mesh methods. Some other methods also have a background mesh, such as the extended finite element method (XFEM), [1][2][3][4][53][54][55][56] the unfitted FEM, [57][58][59] the fictitious domain methods, 60 the immersed boundary method (or immersed FEM), 7,[61][62][63] overset grid methods, 6 the Arlequin methods, 64 or CutFEM, 65,66 to name but a few. However, some of these methods sometimes receive various names.…”

Section: Introductionmentioning

confidence: 99%

A dual mortar embedded mesh method for internal interface problems with strong discontinuities

Zhou

Zhang

2022

Numerical Meth Engineering

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Internal interface problems with strong discontinuities for inclusion-matrix systems are common and also challenging in engineering. In this work, a dual mortar embedded mesh method is proposed. An XFEM (extended finite element method) model is used for the underlying matrix, which can then be meshed without considering internal boundaries. The inclusions are treated by conventional FEM (finite element method) model. The FEM-XFEM coupling is treated by the dual mortar method, which uses the XFEM side to carry the Lagrange multiplier for imposing inclusion-matrix contact constraints. The present method is first validated by contact patch tests as well as bending tests and then applied to simulate strong discontinuities arising from bolt-rock and pile-soil interactions. The numerical results indicate that the present method is capable of simulating the internal interface problems with high accuracy, computational efficiency as well as mesh convenience.

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“…16 Using homogenization, the influence of interfacial defects is also highlighted using micromechanics and the finite element method for nanoparticle reinforced composites. 17,18 Hybridization of fibers enhances the performance of the resulting composite. 19 Taking these works into account, a knowledge gap in the analysis of natural fiber-reinforced composites is identified.…”

Section: Introductionmentioning

confidence: 99%

Prediction of impact behaviour for natural fiber-reinforced composites using the finite element method

Parvathaneni

Madhav

Chaitanya

et al. 2022

Composites and Advanced Materials

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In the past ten years, as awareness of biodegradability has increased, so has the utilization of natural fiber-reinforced composites. Along with the material properties, dynamic responsiveness is also necessary for the efficient design of these natural reinforced composites. In the current work, elastic characteristics and interfacial stress are evaluated for natural fiber-reinforced composites utilizing micromechanics and finite element methods. Later, employing explicit dynamic analysis, the natural composite plate was examined under impact loading. The analytical results used to verify the finite element models at each stage show good agreement. To carry out the current study, natural fiber-reinforced composites like hemp, sisal and flax as well as hemp + sisal, sisal + flax and hemp + flax hybrid composites were evaluated for their elastic modulus in longitudinal, transverse, in-plane and out of plane directions as well as their major and minor Poisson’s ratio. By adjusting the impactor’s velocity from 2 m/s to 11 m/s, the deformation, stresses, internal energy and energy summary of the hybrid natural fiber-reinforced composite are calculated from the impact analysis. Based on all the findings, the performance of hemp fiber and hemp fiber-based hybrid composites is better than all other composites taken into consideration for the current work. This research is utilized to build composite materials that function effectively under gradual loading.

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Some investigations on 3D homogenization of nano-composite/nano-porous materials with surface effect by FEM/XFEM methods combined with Level-Set technique

Cited by 10 publications

References 30 publications

Phase field fracture predictions of microscopic bridging behaviour of composite materials

Phase field fracture predictions of microscopic bridging behaviour of composite materials

A dual mortar embedded mesh method for internal interface problems with strong discontinuities

Prediction of impact behaviour for natural fiber-reinforced composites using the finite element method

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