A non-isothermal thermodynamically consistent phase field model for damage, fracture and fatigue evolutions in elasto-plastic materials

Haveroth, Geovane A.; Vale, Mike; Bittencourt, Marco L.; Boldrini, José Luiz

doi:10.1016/j.cma.2020.112962

Cited by 39 publications

(15 citation statements)

References 42 publications

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“…The first is the extension to plasticity [30][31][32][33][34][35][36][37][38][39][40][41], which allows to describe the nucleation and propagation of ductile cracks. The second is the extension to fatigue that has gained attention in the recent literature [12,13,[42][43][44][45][46][47][48]. This approach to fatigue has been shown to consistently recover experimental observations such as Wöhler curves and Paris' law.…”

Section: Introductionmentioning

confidence: 74%

Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation

Ulloa

Wambacq

Alessi

et al. 2021

Computer Methods in Applied Mechanics and Engineering

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This paper presents a modeling framework to describe the driving mechanisms of cyclic failure in brittle and ductile materials, including cyclic plasticity and fatigue crack growth. A variational model is devised using the energetic formulation for rate-independent systems, coupling a phase-field description of fatigue fracture to a cyclic plasticity model that includes multi-surface kinematic hardening, gradient-enhanced isotropic hardening/softening and ratcheting. The coupled model embeds two distinctive fatigue effects.The first captures the characteristic features of low-cycle fatigue, driven by the accumulation of plastic strains, while the second accounts for high-cycle fatigue, driven by free energy accumulation. The interplay between these mechanisms allows to describe a wide range of cyclic responses under both force loading and displacement loading, as shown in several numerical simulations. Moreover, the phase-field approach to fracture accounts for the initiation and propagation of fatigue-induced cracks.

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Section: Introductionmentioning

confidence: 74%

Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation

Ulloa

Wambacq

Alessi

et al. 2021

Computer Methods in Applied Mechanics and Engineering

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“…The irregular and repeated changes of strain stress for a long time will cause the gradual weakening of the entire pavement structure’s strength. According to the current statistics, many roads do not reach the design life, and the pavement will produce cracks and other early diseases, which lead to fatigue fracture damage [ 5 , 6 , 7 , 8 ].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Strength and Fatigue Life of Rubber Asphalt Mixture

Yuan

Peng

et al. 2020

Materials

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Strength and fatigue life are essential parameters of pavement structure design. To accurately determine the pavement structure resistance of rubber asphalt mixture, the strength tests at various temperatures, loading rate, and fatigue tests at different stress levels were conducted in this research. Based on the proposed experiments, the change law of rubber asphalt mixture strength with different temperatures and loading rates was revealed. The phenomenological fatigue equation of rubber asphalt mixture was established. The genetic algorithm optimized backpropagation neural network (GA-BPNN) is highly reliable for optimizing production processes in civil engineering, and it has a remarkable application effect. A GA-BPNN strength and fatigue life prediction model was created in this study. The reliability of the prediction model was verified through experiments. The results showed that the rubber asphalt mixture strength decreases and increases with the increase of temperature and loading rate, respectively. The goodness of fit of the rubber asphalt mixture strength and fatigue life prediction model based on the GA-BPNN could reach 0.989 and 0.998, respectively. The indicators of the fatigue life prediction model are superior to the conventional phenomenological fatigue equation model. The GA-BPNN provides an effective method for predicting the rubber asphalt mixture strength and fatigue life, which significantly improves the accuracy of the resistance design of the rubber asphalt pavement structure.

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“…Seiler et al [39] used a local strain approach to empirically incorporate plasticity via Neuber's rule. Haveroth et al [40] presented a new thermo-mechanical fatigue formulation using a Voce-type hardening law and a new degradation function that degrades both elastic and plastic strain energy densities. Finally, Ulloa et al [41] developed a phase field fatigue formulation for elastic-plastic solids suitable for both low and high cycle fatigue regimes and capable of capturing ratcheting effects.…”

Section: Introductionmentioning

confidence: 99%

A generalised phase field model for fatigue crack growth in elastic-plastic solids with an efficient monolithic solver

Khalil,

Elghazouli,

Martínez-Pañeda

2021

Preprint

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We present a generalised phase field-based formulation for predicting fatigue crack growth in metals. The theoretical framework aims at covering a wide range of material behaviour. Different fatigue degradation functions are considered and their influence is benchmarked against experiments. The phase field constitutive theory accommodates the so-called AT1, AT2 and phase field-cohesive zone (PF-CZM) models. In regards to material deformation, both non-linear kinematic and isotropic hardening are considered, as well as the combination of the two. Moreover, a monolithic solution scheme based on quasi-Newton algorithms is presented and shown to significantly outperform staggered approaches. The potential of the computational framework is demonstrated by investigating several 2D and 3D boundary value problems of particular interest. Constitutive and numerical choices are compared and insight is gained into their differences and similarities. The framework enables predicting fatigue crack growth in arbitrary geometries and for materials ex-

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A non-isothermal thermodynamically consistent phase field model for damage, fracture and fatigue evolutions in elasto-plastic materials

Cited by 39 publications

References 42 publications

Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation

Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation

Investigation of Strength and Fatigue Life of Rubber Asphalt Mixture

A generalised phase field model for fatigue crack growth in elastic-plastic solids with an efficient monolithic solver

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