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Lithium-ion batteries degrade due to usage and exposure to environmental conditions, which affects their capability to store energy and supply power. Accurately predicting the capacity and power fade of lithium-ion battery cells is…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Weihan Li , Haotian Zhang , Bruis van Vlijmen , Philipp Dechent , Dirk Uwe Sauer

The accurate and efficient prediction of crack propagation in dielectric materials is a critical challenge in structural health monitoring and the design of smart systems. This work presents a hybrid modeling framework that combines an…

Computational Physics · Physics 2026-02-03 Aamir Dean , Jaykumar Mavani , Betim Bahtiri , Behrouz Arash , Raimund Rolfes

Accurate battery lifetime prediction is important for preventative maintenance, warranties, and improved cell design and manufacturing. However, manufacturing variability and usage-dependent degradation make life prediction challenging.…

Machine Learning · Computer Science 2024-04-23 Tingkai Li , Zihao Zhou , Adam Thelen , David Howey , Chao Hu

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…

Materials Science · Physics 2020-06-04 P. Carrara , M. Ambati , R. Alessi , L. De Lorenzis

Predicting lithium-ion battery degradation is worth billions to the global automotive, aviation and energy storage industries, to improve performance and safety and reduce warranty liabilities. However, very few published models of battery…

Porous electrodes composed of multiphase active materials are widely used in Li-ion batteries, but their dynamics are poorly understood. Two-phase models are largely empirical, and no models exist for three or more phases. Using a modified…

Chemical Physics · Physics 2014-02-07 Todd R. Ferguson , Martin Z. Bazant

Aging limits lithium-ion battery lifetime and must be understood to improve durability and performance, requiring a detailed understanding of how aging alters the availability of cyclable lithium and the integrity of active particles. In…

When participating in electricity markets, owners of battery energy storage systems must bid in such a way that their revenues will at least cover their true cost of operation. Since cycle aging of battery cells represents a substantial…

Optimization and Control · Mathematics 2017-07-27 Bolun Xu , Jinye Zhao , Tongxin Zheng , Eugene Litvinov , Daniel S. Kirschen

Mechanical components that are exposed to cyclic mechanical loading fail at loads that are well below the ultimate tensile strength. This process is known as fatigue. The failure time, that is the time when a first crack forms, is highly…

Optimization and Control · Mathematics 2016-02-29 L. Bittner , H. Gottschalk , M. Gröger , N. Moch , M. Saadi , S. Schmitz

We present a new theoretical and numerical framework for modelling mechanically-assisted corrosion in elastic-plastic solids. Both pitting and stress corrosion cracking (SCC) can be captured, as well as the pit-to-crack transition.…

Applied Physics · Physics 2020-12-30 Chuanjie Cui , Rujin Ma , Emilio Martínez-Pañeda

The failure of a component often is the result of a degradation process that originates with the formation of a crack. Fatigue describes the crack formation in the material under cyclic loading. Activation and deactivation operations of…

Optimization and Control · Mathematics 2013-10-30 Hanno Gottschalk , Sebastian Schmitz

Capacity degradation of lithium-ion batteries under long-term cyclic aging is modelled via a flexible sigmoidal-type regression set-up, where the regression parameters can be interpreted. Different approaches known from the literature are…

Applications · Statistics 2019-07-31 Marcus Johnen , Simon Pitzen , Udo Kamps , Maria Kateri , Dirk Uwe Sauer

This study addresses ductile fracture of single grains in metals by modeling of the formation and propagation of transgranular cracks. A proposed model integrates gradient extended hardening, phase-field modeling for fracture, and crystal…

Numerical Analysis · Mathematics 2024-11-01 Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh

Recent years have seen a rapidly escalating demand for battery technologies capable of storing more energy, charging more quickly and having longer usable lifetimes, driven largely by increased electrification of transport and by grid-scale…

Early degradation prediction of lithium-ion batteries is crucial for ensuring safety and preventing unexpected failure in manufacturing and diagnostic processes. Long-term capacity trajectory predictions can fail due to cumulative errors…

Signal Processing · Electrical Eng. & Systems 2023-04-03 Seongyoon Kim , Hangsoon Jung , Minho Lee , Yun Young Choi , Jung-Il Choi

Phase-field fracture models provide a powerful approach to modeling fracture, potentially enabling the unguided prediction of crack growth in complex patterns. To ensure that only tensile stresses and not compressive stresses drive crack…

Materials Science · Physics 2025-04-24 Maryam Hakimzadeh , Noel Walkington , Carlos Mora-Corral , George Gazonas , Kaushik Dayal

The analysis of standardized low cycle fatigue (LCF) experiments shows that the failure times widely scatter. Furthermore, mechanical components often fail before the deterministic failure time is reached. A possibility to overcome these…

Materials Science · Physics 2022-07-07 M. Harder , P. Lion , L. Mäde , T. Beck , H. Gottschalk

We obtain the Paris law of fatigue crack propagation in a disordered solid using a fuse network model where the accumulated damage in each resistor increases with time as a power law of the local current amplitude. When a resistor reaches…

Materials Science · Physics 2013-09-05 Cláudio L. N. Oliveira , André P. Vieira , Hans J. Herrmann , José S. Andrade

Plastic response due to dislocation activity under intense electric fields is proposed as a source of breakdown. A model is formulated based on stochastic multiplication and arrest under the stress generated by the field. A critical…

Plasma Physics · Physics 2018-03-28 Eliyahu Zvi Engelberg , Yinon Ashkenazy , Michael Assaf

Disorder-driven degradation phenomena, such as structural phase transformations and surface reconstructions, can significantly reduce the lifetime of Li-ion batteries, especially those with nickel-rich layered-oxide cathodes. We develop a…

Chemical Physics · Physics 2023-04-25 Debbie Zhuang , Martin Z. Bazant
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