Convergence of fracture process zone size in cohesive zone modeling

Ha, Kyungsu; Baek, Hyunil; Park, Kyoungsoo

doi:10.1016/j.apm.2015.03.030

Cited by 43 publications

(20 citation statements)

References 27 publications

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“…This trend was also noted in Refs. [19] and [20] for softening interactions involved in a DCB geometry and in the context of cohesive cracking [29]. The slow decrease in the CZ size during propagation agrees with the observation that the slope at the debond tip (B) increases while the plate deflection stays constant.…”

Section: Platesupporting

confidence: 70%

Edge Debonding in Peeling of a Thin Flexible Plate From an Elastomer Layer: A Cohesive Zone Model Analysis

Mukherjee

Batra

Dillard

2016

Journal of Applied Mechanics

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A cohesive zone modeling (CZM) approach with a bilinear traction-separation relation is used to study the peeling of a thin overhanging plate from the edge of an incompressible elastomeric layer bonded firmly to a stationary rigid base. The deformations are approximated as plane strain and the materials are assumed to be linearly elastic, homogeneous, and isotropic. Furthermore, governing equations for the elastomer deformations are simplified using the lubrication theory approximations, and those of the plate with the Kirchhoff-Love theory. It is found that the peeling is governed by a single nondimensional number defined in terms of the interfacial strength, the interface fracture energy, the plate bending rigidity, the elastomer shear modulus, and the elastomeric layer thickness. An increase in this nondimensional number monotonically increases the CZ size ahead of the debond tip, and the pull-off force transitions from a fracture energy to strength dominated regime. This finding is supported by the results of the boundary value problem numerically studied using the finite element method. Results reported herein could guide elastomeric adhesive design for load capacity and may help ascertain test configurations for extracting the strength and the fracture energy of an interface from test data.

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Section: Platesupporting

confidence: 70%

Edge Debonding in Peeling of a Thin Flexible Plate From an Elastomer Layer: A Cohesive Zone Model Analysis

Mukherjee

Batra

Dillard

2016

Journal of Applied Mechanics

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“…Because a crack path is unknown, a 4k structured mesh is initially utilized, and thus, the boundary of a 4k structured mesh does not correspond to a potential crack path, as shown in Figure A. The element size around the potential crack path region is 1 mm, which is small enough to capture the nonlinear fracture process zone . For the 4k structured mesh, the number of nodes is 9256, and the number of elements is 18 207.…”

Section: Mixed‐mode Examplesmentioning

confidence: 99%

“…The element size around the potential crack path region is 1 mm, which is small enough to capture the nonlinear fracture process zone. 47,54 For the 4k structured mesh, the number of nodes is 9256, and the number of elements is 18 207. Next, to investigate the effects of the element splits and the stress recovery on computational results, a finite element mesh is generated so that element boundaries are aligned to a potential crack path, which results in an aligned mesh ( Figure 21B).…”

Section: Four-point Shear Testmentioning

confidence: 99%

Removing mesh bias in mixed‐mode cohesive fracture simulation with stress recovery and domain integral

Choi

Park

2019

Numerical Meth Engineering

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Summary To remove mesh bias and provide an accurate crack path representation in mixed‐mode investigation, a novel stress recovery technique is proposed in conjunction with a domain integral and element splits. Based on a domain integral and stress recovery technique, a maximum strain energy release rate is estimated to determine a crack path direction. Then, for a given crack path direction, continuum elements are split, and a cohesive surface element is adaptively inserted. One notes that the proposed stress recovery technique provides a more accurate stress field than a standard stress evaluation procedure. The proposed computational framework is verified and validated by solving mode‐I and mixed‐mode examples. Computational results demonstrate that the domain integral with the stress recovery accurately evaluates a crack path, even with a lower‐quality mesh and under a biaxial stress state. Furthermore, the cohesive surface element approach, with the element split in conjunction with the stress recovery and the domain integral, predicts mixed‐mode fracture behaviors while removing mesh bias in the crack path representation. Additionally, the condition numbers of stiffness matrices are within the same order of magnitude during cohesive fracture simulation.

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“…To verify the predictions of the analytical model, we use the finite element software package ABAQUS [28] The length on the interface between crack initiation and total separation defines the cohesive zone length , which depends on the film thickness and a characteristic length that depends on the bulk material properties and the cohesive zone model parameters [29]. The characteristic length of the cohesive law is given by [30]:…”

Section: Accepted Manuscript N O T C O P Y E D I T E Dmentioning

confidence: 99%

Adhesion Asymmetry in Peeling of Thin Films With Homogeneous Material Properties: A Geometry-Inspired Design Paradigm

Ghareeb

Elbanna

2019

Journal of Applied Mechanics

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Peeling of thin films is a problem of great interest to scientists and engineers. Here, we study the peeling response of thin films with nonuniform thickness profile attached to a rigid substrate through a planar homogeneous interface. We show both analytically and using finite element analysis that patterning the film thickness may lead to direction-dependent adhesion such that the force required to peel the film in one direction is different from the force required in the other direction, without any change to the film material, the substrate interfacial geometry, or the adhesive material properties. Furthermore, we show that this asymmetry is tunable through modifying the geometric characteristics of the thin film to obtain higher asymmetry ratios than reported previously in the literature. We discuss our findings in the broader context of enhancing interfacial response by modulating the bulk geometric or compositional properties.

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Convergence of fracture process zone size in cohesive zone modeling

Cited by 43 publications

References 27 publications

Edge Debonding in Peeling of a Thin Flexible Plate From an Elastomer Layer: A Cohesive Zone Model Analysis

Edge Debonding in Peeling of a Thin Flexible Plate From an Elastomer Layer: A Cohesive Zone Model Analysis

Removing mesh bias in mixed‐mode cohesive fracture simulation with stress recovery and domain integral

Adhesion Asymmetry in Peeling of Thin Films With Homogeneous Material Properties: A Geometry-Inspired Design Paradigm

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