Numerical analysis of dynamic crack propagation in biaxially strained rubber sheets

Elmukashfi, Elsiddig; Kroon, Martin

doi:10.1016/j.engfracmech.2014.04.025

Cited by 14 publications

(13 citation statements)

References 56 publications

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“…By application of the DIC technology, we were able to measure local strains 340 near the crack tip. In figure 4.6 we compare the strains in the y-direction at a 341 8 We see for both velocities a small kink in the force response after reaching the maximum tearing force. This kink is not observed in our experiments (figure 4.5).…”

Section: Identification Of Bulk Materials Parametersmentioning

confidence: 98%

“…Although [4], [5] and [6] have recognized the viscoelastic behavior as a major factor affecting the crack growth rate, to the best of the authors' knowledge, only [7] and [8] have incorporated it in predictive models with a node splitting algorithm and a cohesive zone approach, respectively. These approaches have a disadvantage in that they need either frequent remeshing or a-priori knowledge of the crack path.…”

Section: Introductionmentioning

confidence: 99%

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Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Loew

Peters

Beex

2019

Journal of the Mechanics and Physics of Solids

102

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Phase-field models have the advantage in that no geometric descriptions of cracks are required, which means that crack coalescence and branching can be treated without additional effort. Miehe et al. [1] introduced a rate-independent phase-field damage model for finite strains in which a viscous damage regularization was proposed. We extend the model to depend on the loading rate and time by incorporating rubber's strain-rate dependency in the constitutive description of the bulk, as well as in the damage driving force. The parameters of the model are identified using experiments at different strain rates. Local strain fields near the crack tip, obtained with digital image correlation (DIC), are used to help identify the length scale parameter. Three different degradation functions are assessed for their accuracy to model the rubber's rate-dependent fracture. An adaptive time-stepping approach with a corrector scheme is furthermore employed to increase the computational efficiency with a factor of six, whereas an active set method guarantees the irreversibility of damage. Results detailing the energy storage and dissipation of the different model constituents are included, as well as validation results that show promising capabilities of rate-dependent phase-field modeling.

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Section: Identification Of Bulk Materials Parametersmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Loew

Peters

Beex

2019

Journal of the Mechanics and Physics of Solids

102

View full text Add to dashboard Cite

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“…The first use of cohesive zone models in a finite element environment was undertaken by Hillerborg et al (1976). Several models have been proposed in the literature, wherein a variety of materials and applications have been successfully investigated (Camacho and Ortiz 1996;Elmukashfi and Kroon 2014;Hui et al 1992;Knauss 1993;Needleman 1987Needleman , 1990Rahul-Kumar et al 1999;Rice and Wang 1989;Tvergaard 1990;Xu and Needleman 1993). Rate-dependent and rateindependent models as well as physically based and phenomenological models have been employed.…”

Section: Introductionmentioning

confidence: 99%

A theoretical and computational framework for studying creep crack growth

Elmukashfi

Cocks

2017

Int J Fract

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In this study, crack growth under steady state creep conditions is analysed. A theoretical framework is introduced in which the constitutive behaviour of the bulk material is described by power-law creep. A new class of damage zone models is proposed to model the fracture process ahead of a crack tip, such that the constitutive relation is described by a traction-separation rate law. In particular, simple critical displacement, empirical Kachanov type damage and micromechanical based interface models are used. Using the path independency property of the C * -integral and dimensional analysis, analytical models are developed for pure mode-I steady-state crack growth in a double cantilever beam specimen (DCB) subjected to constant pure bending moment. A computational framework is then implemented using the Finite Element method. The analytical models are calibrated against detailed Finite Element models. The theoretical framework gives the fundamental form of the model and only a single quantityĈ k needs to be determined from the Finite Element analysis in terms of a dimensionless quantity φ 0 , which is the ratio of geometric and material length scales. Further, the validity of the framework is examined by investigating the crack

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“…A corresponding computational formulation is given by [149]. Another approach is the viscoelastic debonding law by [154] that is based on the Kelvin element (see Fig. 2b).…”

Section: Static Vs Transient Interface Modelsmentioning

confidence: 99%

A Survey of Computational Models for Adhesion

Sauer

2015

The Journal of Adhesion

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This work presents a survey of computational methods for adhesive contact focusing on general continuum mechanical models for attractive interactions between solids that are suitable for describing bonding and debonding of arbitrary bodies. The most general approaches are local models that can be applied irrespective of the geometry of the bodies. Two cases can be distinguished: local material models governing the constitutive behavior of adhesives, and local interface models governing adhesion and cohesion at interfaces in the form of traction-separation laws. For both models various subcategories are identified and described, and used to organize the available literature that has contributed to their advancement. Due to their popularity and importance, this survey also gives an overview of effective adhesion models that have been formulated to characterize the global behavior of specific adhesion problems.

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Numerical analysis of dynamic crack propagation in biaxially strained rubber sheets

Cited by 14 publications

References 56 publications

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

A theoretical and computational framework for studying creep crack growth

A Survey of Computational Models for Adhesion

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