A coupled phase field formulation for modelling fatigue cracking in lithium-ion battery electrode particles

Ai, Weilong; Wu, Billy; Martínez‐Pañeda, Emilio

doi:10.1016/j.jpowsour.2022.231805

Cited by 73 publications

(21 citation statements)

References 64 publications

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“…• Elastic: Carrara et al [27], Grossmann-Ponemon et al [37] • Bauschinger effect (kinematic hardening): Aygün et al [25], Seles et al [40], Ulloa et al [20], Khalil et al [44] • Ratchetting: Ulloa et al [20] • Temperature-dependent fatigue behaviour: Amendola et al [46], Haveroth et al [53], Yan et al [50] • Acceleration techniques for computational time: Seiler et al [35], Seles et al [40], Schreiber et al [48], Loew et al [22], Haveroth et al [53], Lo et al [26] • Concentration-dependent material behaviour: Ai et al [62] implemented a coupled chemo-mechanical fatigue fracture model to simulate cracking in lithium-ion batteries. The phase-field fatigue part is equivalent to Carrara et al [27].…”

Section: Loadingmentioning

confidence: 99%

Overview of phase-field models for fatigue fracture using a unified framework

Kalina¹,

Schneider²,

Brummund³

et al. 2023

Preprint

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The phase-field method has gained much attention as a novel method to simulate fracture due to its straightforward way allowing to cover crack initiation and propagation without additional conditions. More recently, it has also been applied to fatigue fracture due to cyclic loading. This publication gives an overview of the main phase-field fatigue models published to date. We present all models in a unified variational framework for best comparability. Subsequently, the models are compared regarding their most important features. It becomes apparent that they can be classified in mainly two categories according to the way fatigue is implemented in the model -that is as a gradual degradation of the fracture toughness or as an additional term in the crack driving force. We aim to provide a helpful guide for choosing the appropriate model for different applications and for developing existing models further.

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Section: Loadingmentioning

confidence: 99%

Overview of phase-field models for fatigue fracture using a unified framework

Kalina¹,

Schneider²,

Brummund³

et al. 2023

Preprint

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show abstract

“…More commonly, an additional variable describing the fatigue history is introduced. This variable has been defined either as a dissipative term to the microforce balance of the phase field [24][25][26], to effectively reduce crack growth resistance, or as a fatigue degradation function that reduces the material toughness [27][28][29][30][31][32]. Accordingly, an additional equation is introduced to describe the evolution/accumulation of the fatigue history variable.…”

Section: Introductionmentioning

confidence: 99%

A phase field model for high-cycle fatigue: total-life analysis

Golahmar¹,

Niordson²,

Martínez-Pañeda³

2023

Preprint

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We present a generalised phase field formulation for predicting high-cycle fatigue in metals. Different fatigue degradation functions are presented, together with new damage accumulation strategies, to account for (i) a typical S-N curve slope, (ii) the fatigue endurance limit, and (iii) the mean stress effect. The numerical implementation exploits an efficient quasi-Newton monolithic solution strategy and Virtual S-N curves are computed for both smooth and notched samples. The comparison with experiments reveals that the model can accurately predict fatigue lives and endurance limits, as well as naturally capture the influence of the stress concentration factor and the load ratio.

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“…Phase-field fracture modelling has attained remarkable popularity in recent years due to its robustness, ease of implementation, high flexibility in simulating complex problems (crack branching, merging, complex trajectories), and straightforward integration in coupled physical simulations [37]. Evidence of this is found in the multiple recent applications of the phase-field to a wide variety of materials and fracture phenomena, including hydrogen embrittlement [38][39][40], shape memory alloys [41,42], composite materials [43,44], iceberg calving [45,46], and Li-ion batteries [47][48][49]. In the realm of CNT-based composites, a combined micromechanics and phase-field fracture framework was very recently proposed by Quinteros et al [50].…”

Section: Introductionmentioning

confidence: 99%

Electromechanical phase-field fracture modelling of piezoresistive CNT-based composites

Quinteros¹,

García-Macías²,

Martínez-Pañeda³

2023

Preprint

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We present a novel computational framework to simulate the electromechanical response of selfsensing carbon nanotube (CNT)-based composites experiencing fracture. The computational framework combines electrical-deformation-fracture finite element modelling with a mixed micromechanics formulation. The latter is used to estimate the constitutive properties of CNT-based composites, including the elastic tensor, fracture energy, electrical conductivity, and linear piezoresistive coefficients. These properties are inputted into a coupled electro-structural finite element model, which simulates the evolution of cracks based upon phase-field fracture. The coupled physical problem is solved in a monolithic manner, exploiting the robustness and efficiency of a quasi-Newton algorithm. 2D and 3D boundary value problems are simulated to illustrate the potential of the modelling framework in assessing the influence of defects on the electromechanical response of meso-and macro-scale smart structures. Case studies aim at shedding light into the interplay between fracture and the electromechanical material response and include parametric analyses, validation against experiments and the simulation of complex cracking conditions (multiple defects, crack merging). The presented numerical results showcase the efficiency and robustness of the computational framework, as well as its ability to model a large variety of structural configurations and damage patterns. The deformation-electrical-fracture finite element code developed is made freely available to download.

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A coupled phase field formulation for modelling fatigue cracking in lithium-ion battery electrode particles

Cited by 73 publications

References 64 publications

Overview of phase-field models for fatigue fracture using a unified framework

Overview of phase-field models for fatigue fracture using a unified framework

A phase field model for high-cycle fatigue: total-life analysis

Electromechanical phase-field fracture modelling of piezoresistive CNT-based composites

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