XFEM modeling of short microfiber reinforced composites with cohesive interfaces

Pike, Matthew G.; Oskay, Caglar

doi:10.1016/j.finel.2015.07.007

Cited by 57 publications

(22 citation statements)

References 67 publications

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“…It is straightforward to consider non linear or damage behavior within the matrix as demonstrated in a 2-D setting in Ref. [47].…”

Section: Governing Equations and Computational Formulationmentioning

confidence: 99%

“…The 3-D formulation associated with the extended finite element discretization generally follows the 2-D counterpart, which is described in detail in Refs. [47,48]. In what follows, we describe the numerical integration of various enriched elements, necessary to evaluate Eq.…”

Section: Governing Equations and Computational Formulationmentioning

confidence: 99%

“…Refs. [47,48] formulated a progressive failure model for random short fiber reinforced composite materials for elastic deformable fiber inclusions that accounts for the presence of multiple fibers within close proximity.…”

Section: Introductionmentioning

confidence: 99%

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Three-Dimensional Modeling of Short Fiber-Reinforced Composites with Extended Finite-Element Method

Pike

Oskay

2016

J. Eng. Mech.

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This manuscript presents a modeling approach based on the extended finite element method (XFEM) for modeling three dimensional short fiber composites. Short fibers are incorporated into the XFEM framework as deformable elastic two dimensional rectangular planar inclusions.Enrichment equations account for both the presence of axial deformable fibers within the composite domain and the progressive debonding on the fiber matrix interfaces. The proposed manuscript provides a modeling strategy particularly suitable for high aspect ratio inclusions with fiber matrix debonding capabilities in three dimensions. The performance of the proposed XFEM model is assessed by comparing model predictions to the direct finite element method.

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“…It is straightforward to consider non linear or damage behavior within the matrix as demonstrated in a 2-D setting in Ref. [47].…”

Section: Governing Equations and Computational Formulationmentioning

confidence: 99%

Section: Governing Equations and Computational Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Three-Dimensional Modeling of Short Fiber-Reinforced Composites with Extended Finite-Element Method

Pike

Oskay

2016

J. Eng. Mech.

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“…Fracture mechanics methods have been the major tool used for modeling the mechanical behavior of interface cracks in bimaterial media. Generally speaking, these methods can be grouped into 2 families: linear elastic fracture mechanics (LEFM) approaches and cohesive zone models . Recently, Yuan and Fish developed a continuum damage mechanics‐based dual‐purpose model to simultaneously describe delamination as well as ply failure.…”

Section: Introductionmentioning

confidence: 99%

“…Generally speaking, these methods can be grouped into 2 families: linear elastic fracture mechanics (LEFM) approaches [1][2][3][4][5][6][7][8][9] and cohesive zone models. [10][11][12][13][14][15][16][17][18][19][20][21][22] Recently, Yuan and Fish 23 developed a continuum damage mechanics-based dual-purpose model to simultaneously describe delamination as well as ply failure. However, since the main scope of this contribution lies within the framework of LEFM analysis of interface cracks in isotropic bimaterials, only developments in this category of methods will be reviewed hereinafter.…”

Section: Introductionmentioning

confidence: 99%

Material‐dependent crack‐tip enrichment functions in XFEM for modeling interfacial cracks in bimaterials

Wang

Waisman

2017

Numerical Meth Engineering

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Summary A novel set of enrichment functions within the framework of the extended finite element method is proposed for linear elastic fracture analysis of interface cracks in bimaterials. The motivation for the new enrichment set stems from the revelation that the accuracy and conditioning of the widely accepted 12‐fold bimaterial enrichment functions significantly deteriorates with the increase in material mismatch. To this end, we propose an 8‐fold material‐dependent enrichment set, derived from the analytical asymptotic displacement field, that well captures the near‐tip oscillating singular fields of interface cracks, including the transition to weak discontinuities of bimaterials. The performance of the proposed material‐dependent enrichment functions is studied on 2 benchmark examples. Comparisons are made with the 12‐fold bimaterial enrichment as well as the classical 4‐fold homogeneous branch functions, which have also been used for bimaterials. The numerical studies clearly demonstrate the superiority of the new enrichment functions, which yield the most accurate results but with less number of degrees of freedom and significantly improved conditioning than the 12‐fold functions.

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Insight into numerical characteristics of embedded finite elements for pile‐type structures employing an enhanced formulation

Granitzer,

Tschuchnigg,

Hosseini

et al. 2023

Num Anal Meth Geomechanics

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A number of problems encountered in the field of computational geotechnics requires the modelling of numerous pile‐type structures embedded in a three‐dimensional soil continuum. Traditional modelling approaches to this problem result in computational costs that must be regarded as unbearable for most practical purposes. As an attractive alternative, we propose an enhanced embedded FE model with implicit interaction surface (EB‐I) where coupling between the contacting domains is realized by an implicit surface‐to‐volume (2D‐to‐3D) coupling scheme. As a novelty, the latter implements a non‐linear interface constitutive model that allows for explicit consideration of endpoint interaction, but does not represent a constraint for the solid mesh generation. As the slender structure is discretized employing the Timoshenko beam theory, shear deformability is explicitly considered, as opposed to earlier EB‐I‐type models reassessed in this paper. The credibility of the proposed EB‐I is numerically validated on the basis of comparative studies. It is found that the 2D‐to‐3D coupling scheme generally improves the well‐posedness of the resultant global stiffness matrix, making the proposed EB‐I computationally competitive to geometrically simplified line‐to‐volume coupling schemes. Future lines of research are carefully addressed throughout this work and include the normal stress recovery technique as well as applications to large‐scale simulations.

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XFEM modeling of short microfiber reinforced composites with cohesive interfaces

Cited by 57 publications

References 67 publications

Three-Dimensional Modeling of Short Fiber-Reinforced Composites with Extended Finite-Element Method

Three-Dimensional Modeling of Short Fiber-Reinforced Composites with Extended Finite-Element Method

Material‐dependent crack‐tip enrichment functions in XFEM for modeling interfacial cracks in bimaterials

Insight into numerical characteristics of embedded finite elements for pile‐type structures employing an enhanced formulation

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