Geometrically nonlinear analysis of matrix cracking and delamination in composites with floating node method

Zhi, Jie; Chen, Bo Yang; Tay, T.E.

doi:10.1007/s00466-018-1591-8

Cited by 29 publications

(9 citation statements)

References 62 publications

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“…With both B and B well defined, the matrix B and the final matrix B in Equation (38) can be readily implemented. f CE int and K CE can then be integrated according to Equations (44) and (46), respectively. Because of the dependency of D CE on d which evolves according to a cohesive law, special care must be taken when integrating the CE, especially when d at different locations of the CE domain are on different phases of the cohesive law.…”

Section: B Matrixmentioning

confidence: 99%

Overcoming the cohesive zone limit in composites delamination: modeling with slender structural elements and higher‐order adaptive integration

Russo

Chen

2020

Numerical Meth Engineering

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Summary Cohesive element (CE) is a well‐established finite element for fracture, widely used for the modeling of delamination in composites. However, an extremely fine mesh is usually needed to resolve the cohesive zone, making CE‐based delamination analysis computationally prohibitive for applications beyond the scale of lab coupons. In this work, a new CE‐based method of modeling delamination in composites is proposed to overcome this cohesive zone limit on the mesh density. The proposed method makes use of slender structural elements for the plies, a compatible formulation with adaptive higher‐order integration for the CEs, and the corotational formulation for geometrically nonlinear analysis. The proposed method is verified and validated on the classical benchmark problems of Mode I, II, mixed‐mode delamination, a buckling‐induced delamination problem and a double‐delamination problem. The results show that elements much larger than the cohesive zone length can be used while retaining accuracy.

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Section: B Matrixmentioning

confidence: 99%

Overcoming the cohesive zone limit in composites delamination: modeling with slender structural elements and higher‐order adaptive integration

Russo

Chen

2020

Numerical Meth Engineering

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“…We consider high stiffness-contrast with the anisotropic CZM, where α 0 n = 10 8 N/mm 3 and α 0 τ = 10 1 N/mm 3 . According to (21), we take the stabilization parameters β n = β τ = 3 × 10 6 N/mm 3 . As shown in Fig.…”

Section: Square Plate With Horizontal Interfacementioning

confidence: 99%

“…5b). According to (21), we take the stabilization parameters β n = β τ = 5 × 10 6 , 3 × 10 5 N/mm 3 for [0/0] and [0/90] laminate interfaces, respectively. We consider the anisotropic CZM with high stiffness contrast, where α 0 n = 10 8 N/mm 3 and α 0 τ = 10 1 N/mm 3 .…”

Section: Square Plate With Inclined Interfacementioning

confidence: 99%

“…Mesh dependence of the predicted crack path or directional mesh bias can be an issue with CZMs, as cracks can only propagate along finite element edges. To allow the propagation of arbitrary cohesive cracks and/or the inclusion of intra-element cohesive interfaces, various approaches based on the partition of unity concept (including G/XFEM) or virtual/phantom nodes were proposed [14][15][16][17][18][19][20][21]. The performance of the standard FEM to simulate cohesive cracks can be poor with distorted or low quality meshes, so mesh free methods were proposed to alleviate such difficulties [22].…”

Section: Introductionmentioning

confidence: 99%

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A Stabilized Finite Element Method for Modeling Mixed-mode Delamination of Composites

Ghosh¹,

Annavarapu²,

Jiménez³

et al. 2017

American Society for Composites 2017

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Delamination of composite materials is commonly modeled using intrinsic cohesive zone models (CZMs), which are generally incorporated into the standard finite element (FE) method through a zero-thickness interface (cohesive) element; however, intrinsic CZMs exhibit numerical instabilities when the cohesive stiffness parameters is assumed to be large relative to the elastic stiffness of the composite material. To address this numerical instability issue, we propose a stabilized finite element method by combining the traditional penalty method with the Nitsche's method that is equally effective for any specified initial stiffness of the cohesive (traction-separation) law. The key advantage of the proposed method is that it generalizes the Nitsche's method to any tractionseparation law with arbitrary large values of initial stiffness and provides a unified way to treat cohesive fracture problems in a variationally consistent and stable manner. We implemented the stabilized method in the commercial finite element software Abaqus via the user element subroutine and simulated benchmark tests for mode I and mixed-mode delamination in isotropic materials to establish the viability of the approach. Ongoing work is aimed at extending the method to model delamination in transversely isotropic laminated composites.

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“…Complex crack networks with multiple cracks in an element can be represented directly by forming sub-elements that are conforming to the cracks. So far, applications of FNM on fracture problems have been reported in numerous publications, ranging from single-crack to manycrack problems on isotropic and composite materials [35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

A crack-tip element for modelling arbitrary crack propagations

Chen

et al. 2020

Theoretical and Applied Fracture Mechanics

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Geometrically nonlinear analysis of matrix cracking and delamination in composites with floating node method

Abstract: Important note To cite this publication, please use the final published version (if applicable). Please check the document version above.

Cited by 29 publications

References 62 publications

Overcoming the cohesive zone limit in composites delamination: modeling with slender structural elements and higher‐order adaptive integration

Overcoming the cohesive zone limit in composites delamination: modeling with slender structural elements and higher‐order adaptive integration

A Stabilized Finite Element Method for Modeling Mixed-mode Delamination of Composites

A crack-tip element for modelling arbitrary crack propagations

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