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Journal ArticleDOI

On the robustness of the stabilized finite element method for delamination analysis of composites using cohesive elements

TL;DR: In this article, the authors demonstrate the ability of a stabilized finite element method, inspired by the weighted Nitsche approach, to alleviate spurious traction oscillations at interlaminar interfaces.
Abstract: We demonstrate the ability of a stabilized finite element method, inspired by the weighted Nitsche approach, to alleviate spurious traction oscillations at interlaminar interfaces during composite ...
Citations
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01 Jan 2009
TL;DR: In this paper, a method for treating general boundary conditions in the finite element method generalizing an approach, due to Nitsche (1971), for approximating Dirichlet boundary conditions was introduced.
Abstract: We introduce a method for treating general boundary conditions in the finite element method generalizing an approach, due to Nitsche (1971), for approximating Dirichlet boundary conditions. We use Poisson's equations as a model problem and prove a priori and a posteriori error estimates. The method is also compared with the traditional Galerkin method. The theoretical results are verified numerically.

5 citations

Journal ArticleDOI
TL;DR: In this article, a novel elastically coupled double beam (ECDB) finite element with superconvergent properties was developed to primarily study wave propagation in the bonded region of an adhesively bonded single.
Abstract: A novel elastically coupled double beam (ECDB) finite element with superconvergent properties is developed to primarily study wave propagation in the bonded region of an adhesively bonded single la...

2 citations

References
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Journal ArticleDOI
TL;DR: In this paper, a framework for the analysis of a large class of discontinuous Galerkin methods for second-order elliptic problems is provided, which allows for the understanding and comparison of most of the discontinuous methods that have been proposed over the past three decades.
Abstract: We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment of elliptic problems.

3,293 citations

Journal ArticleDOI
TL;DR: In this paper, a methodology to determine the constitutive parameters for the simulation of progressive delamination is proposed, which accounts for the size of a cohesive finite element and the length of the cohesive zone to ensure the correct dissipation of energy.

1,314 citations

Journal ArticleDOI
TL;DR: In this paper, a new decohesion element with the capability of dealing with crack propagation under mixed-mode loading is proposed and demonstrated, which is used at the interface between solid finite elements to model the initiation and non-self-similar growth of delaminations in composite materials.
Abstract: A new decohesion element with the capability of dealing with crack propagation under mixed-mode loading is proposed and demonstrated. The element is used at the interface between solid finite elements to model the initiation and non-self-similar growth of delaminations in composite materials. A single relative displacement-based damage parameter is applied in a softening law to track the damage state of the interface and to prevent the restoration of the cohesive state during unloading. The softening law is applied in the three-parameter Benzeggagh-Kenane mode interaction criterion to predict mixed-mode delamination propagation. To demonstrate the accuracy of the predictions, steady-state delamination growth is simulated for quasi-static loading of various single mode and mixed-mode delamination test specimens and the results are compared with experimental data.

1,285 citations

Journal ArticleDOI
TL;DR: In this paper, a finite element analysis of delamination in laminated composites is addressed using interface elements and an interface damage law, where the principles of linear elastic fracture mechanics are indirectly used by equating the area underneath the traction/relative displacement curve to the critical energy release rate of the mode under examination.
Abstract: The finite element analysis of delamination in laminated composites is addressed using interface elements and an interface damage law. The principles of linear elastic fracture mechanics are indirectly used by equating, in the case of single-mode delamination, the area underneath the traction/relative displacement curve to the critical energy release rate of the mode under examination. For mixed-mode delamination an interaction model is used which can fulfil various fracture criteria proposed in the literature. It is then shown that the model can be recast in the framework of a more general damage mechanics theory. Numerical results are presented for the analyses of a double cantilever beam specimen and for a problem involving multiple delamination for which comparisons are made with experimental results. Issues related with the numerical solution of the non-linear problem of the delamination are discussed, such as the influence of the interface strength on the convergence properties and the final results, the optimal choice of the iterative matrix in the predictor and the number of integration points in the interface elements. Copyright © 2001 John Wiley & Sons, Ltd.

1,169 citations

Journal ArticleDOI
TL;DR: In this paper, a review of the cohesive process zone model, a general model which can deal with the nonlinear zone ahead of the crack tip, is presented, which is able to adequately predict the behaviour of uncracked structures, including those with blunt notches, and not only the response of bodies with cracks.

965 citations