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This article addresses the probabilistic nature of fatigue life in structures subjected to cyclic loading with variable amplitude. Drawing on the formalisation of Miner's cumulative damage rule that we introduced in the recent article…

Computational Engineering, Finance, and Science · Computer Science 2024-03-11 Francois-Baptiste Cartiaux , Frederic Legoll , Alex Libal , Julien Reygner

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

Engineers and scientists have been collecting and analyzing fatigue data since the 1800s to ensure the reliability of life-critical structures. Applications include (but are not limited to) bridges, building structures, aircraft and…

Kassapoglou recently proposed a model for fatigue of composite materials which seems to suggest that fatigue SN curve can be entirely predicted on the basis of the statistical distribution of static strengths. The original abstract writes…

Materials Science · Physics 2013-10-08 M. Ciavarella , V. Vinogradov , G. Carbone

This article is aimed at the investigation of some properties of the Weibull cumulative exposure model on multiple-step step-stress accelerated life test data. Although the model includes a probabilistic idea of Miner's rule in order to…

Statistics Theory · Mathematics 2012-10-23 Yoshio Komori

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

This work employs the Birnbaum--Saunders distribution to model the fatigue life of metallic materials under cyclic loading and compares it with the normal distribution. Fatigue-limit models are fitted to three datasets of unnotched…

Computation · Statistics 2023-07-07 Zaid Sawlan , Marco Scavino , Raul Tempone

A multi-scale methodology is developed in conjunction with a probabilistic fatigue lifetime model for structures with pores whose exact distribution, i.e. geometries and locations, is unknown. The method takes into account uncertainty in…

Computational Engineering, Finance, and Science · Computer Science 2024-09-27 Abhishek Palchoudhary , Cristian Ovalle , Vincent Maurel , Pierre Kerfriden

In the present study, a general probabilistic design framework is developed for cyclic fatigue life prediction of metallic hardware using methods that address uncertainty in experimental data and computational model. The methodology…

Computational Engineering, Finance, and Science · Computer Science 2017-09-27 Danial Faghihi , Subhasis Sarkar , Mehdi Naderi , Lloyd Hackel , Nagaraja Iyyer

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

Accurate lifetime prediction of structures subjected to cyclic loading is vital, especially in scenarios involving non-uniform loading histories where load sequencing critically influences structural durability. Addressing this complexity…

Numerical Analysis · Mathematics 2025-03-10 Abedulgader Baktheer , Fadi Aldakheel

In this work we propose a stochastic model for estimating the occurrence of crack initiations on the surface of metallic specimens in fatigue problems that can be applied to a general class of geometries. The stochastic model is based on…

Methodology · Statistics 2018-12-26 Ivo Babuska , Zaid Sawlan , Marco Scavino , Barna Szabó , Raúl Tempone

Engineering fatigue is a very prevalent and dangerous phenomenon that limits the useful life span of mechanical structures. It can be found in most engineered structures and machinery that are made from metallic or composite materials. The…

Signal Processing · Electrical Eng. & Systems 2021-04-27 He-Wen-Xuan Li , David Chelidze

In this work, we present a statistical treatment of stress-life (S-N) data drawn from a collection of records of fatigue experiments that were performed on 75S-T6 aluminum alloys. Our main objective is to predict the fatigue life of…

Computation · Statistics 2017-09-13 Ivo Babuska , Zaid Sawlan , Marco Scavino , Barna Szabó , Raúl Tempone

This work proposes a parametric probabilistic approach to model damage accumulation using the double linear damage rule (DLDR) considering the existence of limited experimental fatigue data. A probabilistic version of DLDR is developed in…

Computational Engineering, Finance, and Science · Computer Science 2024-10-11 João Paulo Dias , Stephen Ekwaro-Osire , Americo Cunha , Shweta Dabetwar , Abraham Nispel , Fisseha M. Alemayehu , Haileyesus B. Endeshaw

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

An extendable, efficient and explainable Machine Learning approach is proposed to represent cyclic plasticity and replace conventional material models based on the Radial Return Mapping algorithm. High accuracy and stability by means of a…

Materials Science · Physics 2025-08-11 Stefan Hildebrand , Sandra Klinge

This paper introduces a simple framework for accurately predicting the fatigue lifetime of notched components by employing various machine learning algorithms applied to a wide range of materials, loading conditions, notch geometries, and…

Applied Physics · Physics 2023-10-19 Amir Mohammad Mirzaei

Marginal structural models have been widely used in causal inference to estimate mean outcomes under either a static or a prespecified set of treatment decision rules. This approach requires imposing a working model for the mean outcome…

Methodology · Statistics 2024-02-27 Cuong Pham , Benjamin R. Baer , Ashkan Ertefaie

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
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