Numerical study for cohesive zone model in delamination analysis based on higher-order B-spline functions

Thai, Tran Quoc; Rabczuk, Timon; Zhuang, Xiaoying

doi:10.1142/s2424913017500047

Cited by 3 publications

(2 citation statements)

References 24 publications

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“…Other researchers [16] have focused on the delaminated shell panel model using two higher-order mid-plane kinematics and solved numerically via an FE (finite element) iterative process. The effect of using higher-order shape functions for computing traction forces was also studied by employing higher-order isogeometric interface elements [17]. Some analytical and semi-analytical approaches have focused on the prediction of debonding initiation between cement-based overlay and old concrete substrate under monotonous mechanical loading [18].…”

Section: Introductionmentioning

confidence: 99%

Delamination influence on elastic properties of laminated composites

et al. 2018

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The present work aims to predict the behavior of effective elastic properties for laminated composites, considering localized damage in the interface between two layers. In practical terms, the damage in the adhesion, which influences the effective elastic properties of a laminate, is evaluated like a delamination between adjacent layers. Thus, the effective properties of laminated composites with different delamination extensions are calculated via finite element method and two-scale asymptotic homogenization method. It is investigated how the properties of the laminated composites are affected by the delamination extension and the thickness of the interface between layers. It is possible to conclude that the effective coefficient values decrease as the damage extension increases due to the fact that the delamination area increases. Besides, for all effective coefficients, except the effective coefficients C * 12 , C * 13 , and C * 23 , in the case without delamination, the coefficients decrease as the adhesive region thickness increases, and almost all coefficients decrease for complete separation of the interface. Numerical and analytical results are compared in order to show the potentialities and limitations of the proposed approaches. Finally, a numerical approach is used to simulate a specific case, where the interface is considered a functionally graded material.

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Section: Introductionmentioning

confidence: 99%

Delamination influence on elastic properties of laminated composites

et al. 2018

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“…In quasi-static fracture/delamination analysis, the standard FEM implementations using intrinsic CZMs can exhibit spurious traction oscillations along the cohesive interface, especially near crack tips, if a large initial cohesive stiffness is specified [5,[31][32][33][34][35][36]. Even with potential-based intrinsic CZMs, it is important to control the elastic behavior through initial slope indicators to avoid instability [37].…”

Section: Introductionmentioning

confidence: 99%

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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