A self-adaptive finite element approach for simulation of mixed-mode delamination using cohesive zone models

Samimi, M Mohammad; Dommelen, van Jaw Hans; Geers, Mgd Marc

doi:10.1016/j.engfracmech.2011.04.010

Cited by 20 publications

(21 citation statements)

References 51 publications

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“…The solution procedure of the non‐linear system of equations is numerically challenging because the cohesive interface approach suffers from an intrinsic discretization sensitivity as reported in, for example, . This sensitivity is characterized by unphysical oscillations in the global load–displacement curve, which result from a cyclic stiffening phenomenon as sketched in the following (cf.…”

Section: Numerical Simulation Of Cohesive Crack Growthmentioning

confidence: 99%

“…Furthermore, we show that by combining this idea with the finite cell method, the crack propagation within complex domains can be simulated efficiently without resolving the geometry by the mesh.the finite element formulation [11][12][13][14]. A review about the basic principles of the method is given, for example, in [15].The use of cohesive zone models is numerically challenging owing to an 'intrinsic discretization sensitivity' [16]. In particular, the cohesive zone ahead of the crack requires sufficiently small elements to prevent artificial, discretization-induced oscillations in the load-displacement curve as reported in numerous works [16][17][18][19][20][21][22][23][24][25][26][27][28][29].Studies presented in [20][21][22][23]29] show that the cohesive zone must be resolved with at least two to five elements with linear shape functions to achieve reasonable results.…”

mentioning

confidence: 99%

“…Consequently, an a priori refinement along the full crack path adds a large number of unnecessary additional degrees of freedom to the discrete system.To avoid this problem, alternative approaches have been developed allowing for a locally bounded refinement zone that follows the crack tip. Common strategies use adaptive hierarchical enrichment [19,24], self-adaptive finite elements [16,26], adaptive h-refinement [34], or error-driven adaptive re-meshing [35]. All these approaches significantly increase the accuracy of the approximation at the crack tip.…”

mentioning

confidence: 99%

“…The use of cohesive zone models is numerically challenging owing to an 'intrinsic discretization sensitivity' [16]. In particular, the cohesive zone ahead of the crack requires sufficiently small elements to prevent artificial, discretization-induced oscillations in the load-displacement curve as reported in numerous works [16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”

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confidence: 99%

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Multi‐level hp‐adaptivity for cohesive fracture modeling

Zander

Ruess

Bog

et al. 2016

Numerical Meth Engineering

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Discretization induced oscillations in the load-displacement curve are a well known problem for simulations of cohesive crack growth with finite elements. The problem results from an insufficient resolution of the complex stress state within the cohesive zone ahead of the crack tip. This work demonstrates that the hp-version of the finite element method is ideally suited to resolve this complex and localized solution characteristic with high accuracy and low computational effort. To this end, we formulate a local and hierarchic mesh refinement scheme that follows dynamically the propagating crack tip. In this way, the usually applied static a priori mesh refinement along the complete potential crack path is avoided, which significantly reduces the size of the numerical problem. Studying systematically the influence of h-, p-and hp-refinement, we demonstrate why the suggested hp-formulation allows to capture accurately the complex stress state at the crack front preventing artificial snapthrough and snap-back effects. This allows to decrease significantly the number of degrees of freedom and the simulation runtime. Furthermore, we show that by combining this idea with the finite cell method, the crack propagation within complex domains can be simulated efficiently without resolving the geometry by the mesh.Keywords: cohesive fracture, automatic hp-adaptivity, arbitrary hanging nodes, dynamic meshes, finite cell method Changes to the manuscript resulting from remarks of Reviewer one are marked in red. Changes resulting from remarks of Reviewer two are marked in blue. Changes resulting from remarks of both reviewers are marked in green. Other textual changes are marked in brown.

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Section: Numerical Simulation Of Cohesive Crack Growthmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Multi‐level hp‐adaptivity for cohesive fracture modeling

Zander

Ruess

Bog

et al. 2016

Numerical Meth Engineering

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“…15 Over the years, several remedies were proposed to overcome these problems. 16,17 Apart from the numerical problems, a proper definition of the traction-separation relation plays an important role. 18,19 In general, thermodynamical consistency 20 and satisfaction of the main balance laws 21 have to be guaranteed.…”

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confidence: 99%

Locking‐free interface failure modeling by a cohesive discontinuous Galerkin method for matching and nonmatching meshes

Bayat

Rezaei

Brepols

et al. 2020

Numerical Meth Engineering

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Summary In this work, modeling of brittle failure of the interface for a linear elastic material is presented. The idea is to integrate a novel extrinsic cohesive zone model into the incomplete interior penalty Galerkin variant of the discontinuous Galerkin (DG) method. As a result, the initial stiffness in the prefailure regime is omitted without having to remesh the crack path during the crack propagation. The interface model is used in combination with different discretization techniques, including matching and nonmatching meshes. This is possible due to the DG method's weak continuity constraint. Moreover, the locking problem in the bulk is cured by the application of a reduced Gaussian integration scheme on the boundary terms. The performance of the new cohesive discontinuous Galerkin elements with different integration schemes is compared with one of the standard intrinsic cohesive models. Due to the elimination of locking, crack initiation at the interface can be realistically displayed.

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An In Situ Experimental‐Numerical Approach for Characterization and Prediction of Interface Delamination: Application to CuLF‐MCE Systems

et al. 2012

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Prevention of delamination failures by improved design calls for accurate characterization and prediction of mixed‐mode interface delamination. In this paper, a combined in situ experimental‐numerical approach is presented to fully characterize the interface behavior for delamination prediction. The approach is demonstrated on two types of industrially‐relevant interface samples – coated copper lead frame‐black molding compound epoxy and uncoated copper lead frame‐white molding compound epoxy, – for which the delamination behavior is characterized in detail using a miniaturized in situ SEM mixed‐mode bending setup and simulated using a newly developed self‐adaptive cohesive zone (CZ) finite element framework. To this end, mixed‐mode load‐displacement responses, fracture toughness versus mode angle trends, and real‐time microscopic observations of the delamination front are analyzed to determine all CZ parameters. The various simulation results are found to be in agreement with experiments for the range of mode mixities accessible, demonstrating the ability of the characterization procedure to accurately obtain the cohesive properties of different interfaces, as well as the stability and efficiency of the self‐adaptive CZ framework.

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A self-adaptive finite element approach for simulation of mixed-mode delamination using cohesive zone models

Cited by 20 publications

References 51 publications

Multi‐level hp‐adaptivity for cohesive fracture modeling

Multi‐level hp‐adaptivity for cohesive fracture modeling

Locking‐free interface failure modeling by a cohesive discontinuous Galerkin method for matching and nonmatching meshes

An In Situ Experimental‐Numerical Approach for Characterization and Prediction of Interface Delamination: Application to CuLF‐MCE Systems

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