Phase‐field modelling and simulation of fracture in viscoelastic materials

Dammaß, Franz; Ambati, Marreddy; Kästner, Markus

doi:10.1002/pamm.202100108

Cited by 5 publications

(2 citation statements)

References 5 publications

(5 reference statements)

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“…[17,18], is understood as a material parameter and identified from experimental data. In the recent work of Dammaß et al [49,50], a unified energetic phase-field model for fracture of viscoelastic solids has been presented in the kinematically linear regime. Depending on the specific choice of the degradation functions and model parameters, respectively, the modelling approaches of [40], [42,43] or [45,47] are retained as limiting cases of the present model and by means of representative numerical studies, the coupling between viscous effects and fracture is analysed.…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

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

et al. 2023

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“…[12,13], is understood as a material parameter and identified from experimental data. In the recent work of Dammaß et al [46,47], a unified energetic phase-field model for fracture of viscoelastic solids has been presented in the kinematically linear regime. Depending on the specific choice of the degradation functions and model parameters, respectively, the modelling approaches of [37], [39,40] or [42,44] are retained as limiting cases of the present model and by means of representative numerical studies, the coupling between viscous effects and fracture is analysed.…”

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 phase field model for fractures in ice shelves

Sondershaus

Humbert

Müller

2023

Proc Appl Math and Mech

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Ice shelves are large floating ice masses, that are formed when glaciers are becoming afloat at the margin of ice sheets. One dominating mass loss mechanism of ice shelves is calving, describing the detachment of icebergs at the front. Ice shelves stabilize inland ice glaciers due to buttressing. If the stabilizing effect of an ice shelf vanishes because of disintegration or thinning, the corresponding glacier accelerates resulting in sea level rise.To describe calving and disintegration of ice shelves, it is important to investigate fracture propagation in ice. A powerful method in fracture mechanics is the phase field method which is based on Griffith's theory. It approximates cracks in a diffuse manner by using a continuous scalar field. We propose a phase field fracture model for ice considering its characteristic material properties. The material behavior of ice depends on the considered time scales. On short time scales it behaves like a solid and while it acts like a fluid on long time scales, which classifies it as a viscoelastic material of Maxwell type. This has been verified by observations. The phase field method allows us to simulate typical fracture situations of ice shelves in Antarctica and Greenland.

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Phase‐field modelling and simulation of fracture in viscoelastic materials

Cited by 5 publications

References 5 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 phase field model for fractures in ice shelves

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