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The lifetime of most metals is limited by cyclic loads, ending in fatigue failure. The progressive growth of cracks ends up in catastrophic failure. An advanced method is presented for the determination of cyclic crack growth on the…

Materials Science · Physics 2022-08-03 S. Gabel , B. Merle , E. Bitzek , M. Göken

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

One of the most important scaling laws of time dependent fracture is Basquin's law of fatigue, namely, that the lifetime of the system increases as a power law with decreasing external load amplitude, $t_f\sim \sigma_0^{-\alpha}$, where the…

Materials Science · Physics 2011-03-28 F. Kun , H. A. Carmona , J. S. Andrade , H. J. Herrmann

The growth dynamics of a single crack in a heterogeneous material under subcritical loading is an intermittent process; and many features of this dynamics have been shown to agree with simple models of thermally activated rupture. In order…

Disordered Systems and Neural Networks · Physics 2013-10-15 Osvanny Ramos , Pierre-Philippe Cortet , Sergio Ciliberto , Loïc Vanel

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

A novel FFT-based phase-field fracture framework for modelling fatigue crack initiation and propagation at the microscale is presented. A damage driving force is defined based on the stored energy and dislocation density, relating…

Computational Engineering, Finance, and Science · Computer Science 2023-04-04 Sergio Lucarini , Fionn P. E. Dunne , Emilio Martínez-Pañeda

Electrode particle cracking is one of the main phenomena driving battery capacity degradation. Recent phase field fracture studies have investigated particle cracking behaviour. However, only the beginning of life has been considered and…

Chemical Physics · Physics 2022-06-28 W. Ai , B. Wu , E. Martínez-Pañeda

Predicting potential risks associated with the fatigue of key structural components is crucial in engineering design. However, fatigue often involves entangled complexities of material microstructures and service conditions, making…

Machine Learning · Computer Science 2024-02-13 Yingjie Zhao , Yong Liu , Zhiping Xu

In earlier papers (Leblond et.al., 2011, 2019), we presented linear stability analyses of the coplanar propagation of a crack loaded in mixed-mode I+III, based on a "double'' propagation criterion combining Griffith (1920)'s energetic…

Soft Condensed Matter · Physics 2020-03-18 Aditya Vasudevan , Laurent Ponson , Jean-Baptiste Leblond , Alain Karma

Fatigue crack growth in ductile materials is primarily driven by the interaction between damaging and shielding mechanisms. In the Paris regime, the predominant mechanism for retardation is plasticity-induced crack closure (PICC). However,…

Applied Physics · Physics 2024-09-05 Florian Paysan , David Melching , Eric Breibarth

In a previous paper (Leblond et al., 2011), we proposed a theoretical interpretation of the experimentally well known instability of coplanar crack propagation in mode I+III. The interpretation relied on a stability analysis based on…

Soft Condensed Matter · Physics 2019-03-27 Jean-Baptiste Leblond , Alain Karma , Laurent Ponson , Aditya Vasudevan

Fatigue behaviors of metal components by laser fusion suffer from scattering due to random geometrical defects (e.g., porosity, lack of fusion). Monitoring fatigue crack initiation and growth is critical, especially for laser-fused…

Computational Engineering, Finance, and Science · Computer Science 2025-10-27 Panayiotis Kousoulas , Rahul Sharma , Y. B. Guo

We address analytically and numerically the problem of crack path prediction in the model system of a crack propagating under thermal loading. We show that one can explain the instability from a straight to a wavy crack propagation by using…

Materials Science · Physics 2009-09-01 F. Corson , M. Adda-Bedia , H. Henry , E. Katzav

This paper investigates correlation properties of fluctuations in fatigue crack growth of polycrystalline materials, such as ductile alloys, that are commonly encountered in structures and machinery components of complex electromechanical…

Materials Science · Physics 2015-06-25 Nicola Scafetta , Asok Ray , Bruce J. West

We present a new theoretical and numerical phase field-based formulation for predicting hydrogen-assisted fatigue. The coupled deformation-diffusion-damage model presented enables predicting fatigue crack nucleation and growth for arbitrary…

Computational Engineering, Finance, and Science · Computer Science 2021-10-02 Alireza Golahmar , Philip K. Kristensen , Christian F. Niordson , Emilio Martínez-Pañeda

In this paper we prove the existence of quasistatic evolutions for a cohesive fracture on a prescribed crack surface, in small-strain antiplane elasticity. The main feature of the model is that the density of the energy dissipated in the…

Analysis of PDEs · Mathematics 2018-02-13 Vito Crismale , Giuliano Lazzaroni , Gianluca Orlando

The growth of cracks combines materials science, fracture mechanics, and statistical physics. The importance of fluctuations in the crack velocity is fundamental since it signals that the crack overcomes local barriers such as tough spots…

Statistical Mechanics · Physics 2025-03-11 Tero Mäkinen , Lumi Tuokkola , Joonas Lahikainen , Ivan V. Lomakin , Juha Koivisto , Mikko J. Alava

We present a phase field-based framework for modelling fatigue damage in Shape Memory Alloys (SMAs). The model combines, for the first time: (i) a generalised phase field description of fracture, incorporating multiple phase field…

Computational Engineering, Finance, and Science · Computer Science 2021-12-16 M. Simoes , C. Braithwaite , A. Makaya , E. Martínez-Pañeda

Analytic relations that describe crack growth are vital for modeling experiments and building a theoretical understanding of fracture. Upon constructing an idealized model system for the crack and applying the principles of statistical…

Statistical Mechanics · Physics 2024-01-10 Michael R. Buche , Scott J. Grutzik

Stress corrosion cracking (SCC) is a form of failure in metals that is present mostly in systems where humidity contact and mechanical load play a key role. Therefore, prediction of the combined effect is desired. There are models based on…

Materials Science · Physics 2021-11-10 Jorge G. Diaz