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An accurate assessment for fatigue damage as a function of activation and deactivation cycles is vital for the design of many engineering parts. In this paper we extend the probabilistic and local approach to this problem proposed in [1,2]…

Numerical Analysis · Mathematics 2013-10-03 Sebastian Schmitz , Georg Rollmann , Hanno Gottschalk , Rolf Krause

The rainflow counting algorithm for material fatigue is both simple to implement and extraordinarily successful for predicting material failure times. However, it neglects memory effects and time-ordering dependence, and therefore runs into…

Geophysics · Physics 2020-11-11 Stephen Guth , Themistoklis P. Sapsis

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

Surface roughness is a critical factor influencing the fatigue life of structural components. Its effect is commonly quantified using a correction coefficient known as the surface factor. In this paper, a phase field based numerical…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 S. Jiménez-Alfaro , E. Martínez-Pañeda

This paper proposes a gamma process for modelling the damage that accumulates over time in the lumber used in structural engineering applications when stress is applied. The model separates the stochastic processes representing features…

Applications · Statistics 2017-08-25 Samuel W. K. Wong , James V. Zidek

The safety and resilience of civil infrastructure systems are increasingly threatened by compounded risks from various hazard events and structural deterioration due to environmental stressors. This study presents a comprehensive…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Sudhir P. Jodha , Konstantinos G. Papakonstantinou

This paper aims to experimentally and numerically probe fatigue behaviours and lifetimes of novel GLARE (glass laminate aluminium reinforced epoxy) laminates under random loading spectrum. A mixed algorithm based on fatigue damage concepts…

Applied Physics · Physics 2023-02-22 Zheng-Qiang Cheng , Wei Tan , Jun-Jiang Xiong , Er-Ming Hed , Tao-Huan Xiong , Ying-Peng Wang

In this paper we explore the evolution of transport capacity on networks with stochastic incidence of damage and accumulation of faults in their connections. For each damaged configuration of the network, we analyze a Markovian random…

Physics and Society · Physics 2019-09-05 A. P. Riascos , J. Wang-Michelitsch , T. M. Michelitsch

Engineered timber is pivotal to low-carbon construction, but moisture uptake during its service life can compromise structural reliability and impede reuse within a circular economy model. Despite growing interest, quantitative standards…

Applications · Statistics 2025-06-16 Yiping Meng , Chulin Jiang , Courtney Jayne Scurr , Farzad Pour Rahimian , David Hughes

Collectives form non-equilibrium social structures characterised by a volatile dynamics. Individuals join or leave. Social relations change quickly. Therefore, differently from engineered or ecological systems, a resilient reference state…

Physics and Society · Physics 2022-10-19 Frank Schweitzer , Christian Zingg , Giona Casiraghi

A probabilistic method for solving time-dependent load-transfer models of fracture is developed. It is applicable to any rule of load redistribution, i.e, local, hierarchical, etc. In the new method, the fluctuations are generated during…

Statistical Mechanics · Physics 2019-08-17 J. B. Gomez , Y. Moreno , A. F. Pacheco

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…

Computational Engineering, Finance, and Science · Computer Science 2023-02-07 A. Golahmar , C. F. Niordson , E. Martínez-Pañeda

Wood products that are subjected to sustained stress over a period of long duration may weaken, and this effect must be considered in models for the long-term reliability of lumber. The damage accumulation approach has been widely used for…

Applications · Statistics 2017-06-16 Chun-Hao Yang , James V. Zidek , Samuel W. K. Wong

Fatigue life of components or test specimens often exhibit a significant scatter. Furthermore, size effects have a non-negligible influence on fatigue life of parts with different geometries. We present a new probabilistic model for…

Applications · Statistics 2013-08-28 Sebastian Schmitz , Thomas Seibel , Tilman Beck , Georg Rollmann , Rolf Krause , Hanno Gottschalk

The fate of cities under natural hazards depends not only on hazard intensity but also on the coupling of structural damage, a collective process that remains poorly understood. Here we show that urban structural damage exhibits…

Applications · Statistics 2026-05-22 Sebin Oh , Jinyan Zhao , Raul Rincon , Jamie E. Padgett , Ziqi Wang

Recent advancements in machine learning-based methods have demonstrated great potential for improved property prediction in material science. However, reliable estimation of the confidence intervals for the predicted values remains a…

Machine Learning · Computer Science 2025-01-28 Jiang Chang , Deekshith Basvoju , Aleksandar Vakanski , Indrajit Charit , Min Xian

This paper developed a fatigue-driven residual strength model considering the effects of low-velocity impact (LVI) damage and stress ratio. New fatigue failure criteria based on fatigue-driven residual strength concept and fatigue…

Applied Physics · Physics 2021-06-18 Zheng-Qiang Cheng , Wei Tan , Jun-Jiang Xiong

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

We study the fatigue fracture of disordered materials by means of computer simulations of a discrete element model. We extend a two-dimensional fracture model to capture the microscopic mechanisms relevant for fatigue, and we simulate the…

Disordered Systems and Neural Networks · Physics 2009-11-11 H. A. Carmona , F. Kun , J. S. Andrade , H. J. Herrmann

Fatigue data arise in many research and applied areas and there have been statistical methods developed to model and analyze such data. The distributions of fatigue life and fatigue strength are often of interest to engineers designing…

Methodology · Statistics 2024-03-20 Peng Liu , Yili Hong , Luis A. Escobar , William Q. Meeker