Combined stability analysis of phase-field dynamic fracture and shear band localization

Arriaga, Miguel; Waisman, Haim

doi:10.1016/j.ijplas.2017.04.018

Cited by 51 publications

(10 citation statements)

References 76 publications

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“…Several other phase-field models of ductile fracture are based upon a pseudo-energy functional in which both elastically stored energy and a plastic quantity, which is referred to as plastic work or plastic energy, are assumed to degrade upon fracture. Depending on the specific formulation, the plastic contribution to free energy actually corresponds to hardening terms [35,36] or accumulated plastic dissipation [37][38][39].…”

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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“…Moreover, Batra and Kim (1990) pointed out the sensitivity of the numerical results for the temperature and strain fields near the band to the viscoplastic flow rule used to model the material behavior. An incomplete list of additional papers performing finite element calculations of shear bands formation in torsional test samples is Johnson et al (1983), Batra and Kim (1992), Bonnet-Lebouvier et al (2002), Chichili et al (2004), Glema et al (2008), Dolinski et al (2010), Arriaga and Waisman (2017). All of these papers consider the material to be fully dense.…”

Section: Introductionmentioning

confidence: 99%

Shear band formation in porous thin-walled tubes subjected to dynamic torsion

A.R.¹,

Nieto-Fuentes²,

Rodríguez-Martínez³

2022

Preprint

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used a torsional split Hopkinson bar apparatus to twist thin-walled tubes made of various grades of steel at nominal strain rates in the range of 10 3 s −1 to 5 ⋅ 10 3 s −1 . A single shear band was formed in the gauge section of the specimen prior to material fracture. Consistent with the postulate of Zener and Hollomon (1944), Marchand and Duffy (1988) observed that the shear band occurred when the thermal softening due to adiabatic heating overtook the strain hardening of the material, and identified three stages in the process of shear localization. Firstly, the plastic deformation in the gauge section of the specimen was

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“…Under dynamic conditions, the development of adiabatic shear band (or ASB) -this is often accompanied by DSF -is another important cause of failure. DSFs are material discontinuities due to cleavage and/or void coalescence whereas ASBs are highly localized plastic deformation (Arriaga and Waisman, 2017). Although fracture and shear banding are two different phenomena of distinct spatial and temporal scales, either one, or their combination, can lead to a rapid loss of load carrying capability by the material.…”

Section: Introductionmentioning

confidence: 99%

Dynamic shear fracture toughness and failure characteristics of Ti–6Al–4V alloy under high loading rates

Han

Fan

et al. 2021

Mechanics of Materials

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Combined stability analysis of phase-field dynamic fracture and shear band localization

Cited by 51 publications

References 76 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

Shear band formation in porous thin-walled tubes subjected to dynamic torsion

Dynamic shear fracture toughness and failure characteristics of Ti–6Al–4V alloy under high loading rates

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