A mixed phase-field fracture model for crack propagation in punctured EPDM strips

Mang, Katrin; Fehse, Andreas; Kröger, Nils Hendrik; Wick, Thomas

doi:10.1016/j.tafmec.2021.103076

Cited by 6 publications

(3 citation statements)

References 53 publications

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“…However, this effect is not very pronounced compared to the effects arising from the rate-dependent toughness when pre-critical rate of deformation r becomes close to the threshold value r ref . 22 In that case, deformation at failure begins to raise with rate similar to stiffness and critical force. Experimentally, similar effects can be observed for some natural materials, see e.g.…”

Section: Investigation Of Rate-dependent Fracture Toughnessmentioning

confidence: 99%

“…fatigue effects [11][12][13] or concentration of hydrostatic stress [14,15], and have proven of value. Models of brittle fracture that include several advancements with respect to the fundamental work [9] have been proposed within both the infinitesimal strain regime [16][17][18][19][20] as well as for finite deformation [21][22][23]. Very recently, the phasefield approach to fracture also is combined with machine learning and data-driven approaches [24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

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Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation

et al. 2023

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Fracture of materials with rate-dependent mechanical behaviour, e.g. polymers, is a highly complex process. For an adequate modelling, the coupling between rate-dependent stiffness, dissipative mechanisms present in the bulk material and crack driving force has to be accounted for in an appropriate manner. In addition, the resistance against crack propagation can depend on rate of deformation. In this contribution, an energetic phase-field model of rate-dependent fracture at finite deformation is presented. For the deformation of the bulk material, a formulation of finite viscoelasticity is adopted with strain energy densities of Ogden type assumed. The unified formulation allows to study different expressions for the fracture driving force. Furthermore, a possibly rate-dependent toughness is incorporated. The model is calibrated using experimental results from the literature for an elastomer and predictions are qualitatively and quantitatively validated against experimental data. Predictive capabilities of the model are studied for monotonic loads as well as creep fracture. Symmetrical and asymmetrical crack patterns are discussed and the influence of a dissipative fracture driving force contribution is analysed. It is shown that, different from ductile fracture of metals, such a driving force is not required for an adequate simulation of experimentally observable crack paths and is not favourable for the description of failure in viscoelastic rubbery polymers. Furthermore, the influence of a rate-dependent toughness is discussed by means of a numerical study. From a phenomenological point of view, it is demonstrated that rate-dependency of resistance against crack propagation can be an essential ingredient for the model when specific effects such as rate-dependent brittle-to-ductile transitions shall be described.

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Section: Investigation Of Rate-dependent Fracture Toughnessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation

et al. 2023

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“…Making use of this smeared crack representation, a regularisation of the pseudo-energy functional is carried out. Based upon the fundamental work of Bourdin, numerous phase-field models of brittle fracture have been proposed which include several advancements within both the infinitesimal strain regime [11,12,13,14,15] as well as finite deformation [16,17,18]. Further extensions have been proposed to also include fatigue effects, see [19,20,21,22], inter alia.…”

Section: Introductionmentioning

confidence: 99%

Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation

Dammaß¹,

Kalina²,

Ambati³

et al. 2022

Preprint

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Fracture of materials with rate-dependent mechanical behaviour, e.g. polymers, is a highly complex process. For an adequate modelling, the coupling between rate-dependent stiffness, dissipative mechanisms present in the bulk material and crack driving force has to be accounted for in an appropriate manner. In addition, the fracture toughness, i.e. the resistance against crack propagation, can depend on rate of deformation.In this contribution, an energetic phase-field model of ratedependent fracture at finite deformation is presented. For the deformation of the bulk material, a formulation of finite viscoelasticity is adopted with strain energy densities of Ogden type assumed. The unified formulation allows to study different expressions for the fracture driving force. Furthermore, a possibly rate-dependent toughness is incorporated. The model is calibrated using experimental results from the literature for an elastomer and predictions are qualitatively and quantitatively validated against experimental data. Predictive capabilities of the model are studied for monotonic loads as well as creep fracture. Symmetrical and asymmetrical crack patterns are discussed and the influence of a dissipative fracture driving force contribution is analysed. It is shown that, different from ductile fracture of metals, such a driving force is not required for an adequate simulation of experimentally observable crack paths and is not favourable for the description of failure in viscoelastic rubbery polymers. Furthermore, the influence of a rate-dependent toughness is discussed by means of a numerical study. From a phenomenological point of view, it is demonstrated that rate-dependency of resistance against crack propagation can be an essential ingredient for the model when specific effects such as rate-dependent brittle-to-ductile transitions shall be described.

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A comparative review of peridynamics and phase-field models for engineering fracture mechanics

et al. 2022

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Computational modeling of the initiation and propagation of complex fracture is central to the discipline of engineering fracture mechanics. This review focuses on two promising approaches: phase-field (PF) and peridynamic (PD) models applied to this class of problems. The basic concepts consisting of constitutive models, failure criteria, discretization schemes, and numerical analysis are briefly summarized for both models. Validation against experimental data is essential for all computational methods to demonstrate predictive accuracy. To that end, the Sandia Fracture Challenge and similar experimental data sets where both models could be benchmarked against are showcased. Emphasis is made to converge on common metrics for the evaluation of these two fracture modeling approaches. Both PD and PF models are assessed in terms of their computational effort and predictive capabilities, with their relative advantages and challenges are summarized.

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A mixed phase-field fracture model for crack propagation in punctured EPDM strips

Cited by 6 publications

References 53 publications

Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation

Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation

Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

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