Thermomechanics of damage and fatigue by a phase field model

Amendola, Giovambattista; Fabrizio, Mauro; Golden, John M.

doi:10.1080/01495739.2016.1152140

Cited by 40 publications

(20 citation statements)

References 22 publications

(28 reference statements)

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“…The fatigue effect is introduced as an additional order parameter and its evolution is postulated under some restrictive conditions to preserve the thermodynamic consistency. Also, in [34,35] the authors adopt the Ginzburg-Landau formalism to formulate a phase-field model accounting for fracture, visco-elasticity and environmental effects. Here, a fatigue potential is introduced to allow the degradation of the material under fatigue loadings.…”

Section: Introduction and State Of The Artmentioning

confidence: 99%

A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach

Carrara

Ambati

Alessi

et al. 2020

Computer Methods in Applied Mechanics and Engineering

228

134

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A novel variational framework to model the fatigue behavior of brittle materials based on a phase-field approach to fracture is presented. The standard regularized free energy functional is modified introducing a fatigue degradation function that effectively reduces the fracture toughness as a proper history variable accumulates. This macroscopic approach allows to reproduce the main known features of fatigue crack growth in brittle materials. Numerical experiments show that the Wöhler curve, the crack growth rate curve and the Paris law are naturally recovered, while the approximate Palmgren-Miner criterion and the monotonic loading condition are obtained as special cases.

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Section: Introduction and State Of The Artmentioning

confidence: 99%

A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach

Carrara

Ambati

Alessi

et al. 2020

Computer Methods in Applied Mechanics and Engineering

228

134

View full text Add to dashboard Cite

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“…h = f (ψ elas ). The fatigue phase-field damage models of [3] and [5] use h = h(ψ bulk = P :Ḟdt, ), while [2] sets h = f ( ,˙ ). We see micro-crack formation as a dissipative mechanism and therefore propose a load history variable depending on the energy dissipated under cyclic loading in the bulk:…”

Section: Fatigue Damage Sourcementioning

confidence: 99%

“…To the best of the authors' knowledge, [3] was the first to consider fatigue damage in a phase-field model by introducing a fatigue history variable in the Ginzburg-Landau equation. [7] additionally introduced damage caused by aging, while [5] defined the internal fatigue history variable with a differential constitutive law to be found.…”

Section: Introductionmentioning

confidence: 99%

“…All these contributions show promising results for small strains in one-dimensional settings. Our model is similar to the fatigue model of [3] as we also introduce a fatigue history variable. The differences are, however, that we start the derivation from the balance of mechanical energy, define a fatigue history variable based on the viscous dissipation and allow for finite strains.…”

Section: Introductionmentioning

confidence: 99%

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Fatigue phase-field damage modeling of rubber using viscous dissipation: Crack nucleation and propagation

Loew

Peters

Beex

2020

Mechanics of Materials

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“…The model allows to describe fatigue crack initiation, propagation and residual fracture and can reproduce Paris behaviour. arXiv:1903.06465v3 [cond-mat.mtrl-sci] 23 Oct 2019 Recently, several propositions to extend the phase-field method to fatigue [16,17,18,19,20] have been published. Representatively for the range of different approaches, two models which are able to reproduce Paris behaviour shall be highlighted here: Carrara et al [19] introduce a phase-field model for fatigue fracture in brittle materials.…”

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confidence: 99%

An efficient phase-field model for fatigue fracture in ductile materials

Seiler

Linse

Hantschke

et al. 2020

Engineering Fracture Mechanics

114

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Fatigue fracture in ductile materials, e. g. metals, is caused by cyclic plasticity. Especially regarding the high numbers of load cycles, plastic material models resolving the full loading path are computationally very demanding. Herein, a model with particularly small computational effort is presented. It provides a macroscopic, phenomenological description of fatigue fracture by combining the phase-field method for brittle fracture with a classic durability concept. A local lifetime variable is obtained, which degrades the fracture resistance progressively. By deriving the stress-strain path from cyclic material characteristics, only one increment per load cycle is needed at maximum. The model allows to describe fatigue crack initiation, propagation and residual fracture and can reproduce Paris behaviour. arXiv:1903.06465v3 [cond-mat.mtrl-sci] 23 Oct 2019 Recently, several propositions to extend the phase-field method to fatigue [16,17,18,19,20] have been published. Representatively for the range of different approaches, two models which are able to reproduce Paris behaviour shall be highlighted here: Carrara et al. [19] introduce a phase-field model for fatigue fracture in brittle materials. The basic idea of their approach is that due to repetitive loading the crack resistance decreases, allowing cracks to evolve even far below the static crack resistance. The fracture toughness is modified depending on a measure of locally accumulated elastic strain energy density. Mesgarnejad et al. [20] follow a similar approach, but link the lowering of the fracture toughness also to the phase-field, localising the degradation to the vicinity of the crack tip.Although the authors use different approaches, they are not yet overcoming one key challenge inherent to fatigue crack initiation and propagation: The immense computational effort related to the high number of load cycles. This issue is addressed in the present paper. In particular, we introduce an efficient phase-field model of fatigue fracture in ductile materials, such as metals. Analogously to [19], it is based on the reduction of the critical fracture energy, but uses a different local fatigue measure. In contrast to brittle materials, fatigue crack propagation in ductile materials is caused by cyclic plastic deformations. The straightforward way to treat the problem with an elasto-plastic material model is numerically expensive. Therefore, a different approach is chosen. With the help of the LSA, a local lifetime variable is introduced, accounting for cumulative elasto-plastic deformations. Since the stress-strain path within a load cycle is derived from material curves from cyclic experiments, the explicit simulation of each load cycle would be redundant and can therefore be avoided, saving computational costs. In other words, instead of introducing a ductile phasefield model, an elastic, brittle phase-field formulation which considers the elasto-plastic origins of fatigue is presented. As cracks are described on a macroscopic scale, microscopic effects are...

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Thermomechanics of damage and fatigue by a phase field model

Cited by 40 publications

References 22 publications

A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach

A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach

Fatigue phase-field damage modeling of rubber using viscous dissipation: Crack nucleation and propagation

An efficient phase-field model for fatigue fracture in ductile materials

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