Probabilistic evaluation on fatigue small cracking characteristics of light metallic alloys under in-situ SEM fatigue tests using the weakest link theory
Yang Xin-Yi , Zhu Li-Na , Xu Zhong-Wei , Wang Xi-Shu
{"title":"Probabilistic evaluation on fatigue small cracking characteristics of light metallic alloys under in-situ SEM fatigue tests using the weakest link theory","authors":"Yang Xin-Yi , Zhu Li-Na , Xu Zhong-Wei , Wang Xi-Shu","doi":"10.1016/j.ijfatigue.2026.109557","DOIUrl":null,"url":null,"abstract":"<div><div>In this work, the key mechanics parameters such as ΔK<sub>th</sub> and critical damage tolerance size (DTS: <em>a</em><sub>0H</sub>) were quantitatively estimated with a 95% probability through the weakest-link theory (WLT) and <em>in-situ</em> scanning electron microscopy (SEM) fatigue small crack (FSC) propagation tests for the cast AM60 magnesium, SLM-AlSi10Mg and SLM-Ti6Al4V alloys. A new probability evaluation model about the dispersion range in FSC growth rate curves of these materials was developed. The dispersions of da/dN indicated that the mapping correlation to ΔK<sub>th</sub> of SLM-Ti6Al4V alloy exhibits higher accuracy than that of the other two alloys. And the DTS of three alloys were also quantitatively obtained by comparison with fatigue cracking source and microstructure characteristic size. The probability of high cycle fatigue failure is reduced to only 5% when the DTS is respectively controlled within the estimated size such as 37.1 μm for cast AM60, 89.0 μm for SLM-AlSi10Mg and 75.3 μm for SLM-Ti6Al4V. The relative error between the 95% probability estimation values and average defect size is 25.8%, 8.4% and 4.6%, respectively. The effectiveness and reasonableness of these estimation values were validated by the experimental and literature data.</div></div>","PeriodicalId":14112,"journal":{"name":"International Journal of Fatigue","volume":"208 ","pages":"Article 109557"},"PeriodicalIF":6.8000,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fatigue","FirstCategoryId":"88","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0142112326000770","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/2/8 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, the key mechanics parameters such as ΔKth and critical damage tolerance size (DTS: a0H) were quantitatively estimated with a 95% probability through the weakest-link theory (WLT) and in-situ scanning electron microscopy (SEM) fatigue small crack (FSC) propagation tests for the cast AM60 magnesium, SLM-AlSi10Mg and SLM-Ti6Al4V alloys. A new probability evaluation model about the dispersion range in FSC growth rate curves of these materials was developed. The dispersions of da/dN indicated that the mapping correlation to ΔKth of SLM-Ti6Al4V alloy exhibits higher accuracy than that of the other two alloys. And the DTS of three alloys were also quantitatively obtained by comparison with fatigue cracking source and microstructure characteristic size. The probability of high cycle fatigue failure is reduced to only 5% when the DTS is respectively controlled within the estimated size such as 37.1 μm for cast AM60, 89.0 μm for SLM-AlSi10Mg and 75.3 μm for SLM-Ti6Al4V. The relative error between the 95% probability estimation values and average defect size is 25.8%, 8.4% and 4.6%, respectively. The effectiveness and reasonableness of these estimation values were validated by the experimental and literature data.
期刊介绍:
Typical subjects discussed in International Journal of Fatigue address:
Novel fatigue testing and characterization methods (new kinds of fatigue tests, critical evaluation of existing methods, in situ measurement of fatigue degradation, non-contact field measurements)
Multiaxial fatigue and complex loading effects of materials and structures, exploring state-of-the-art concepts in degradation under cyclic loading
Fatigue in the very high cycle regime, including failure mode transitions from surface to subsurface, effects of surface treatment, processing, and loading conditions
Modeling (including degradation processes and related driving forces, multiscale/multi-resolution methods, computational hierarchical and concurrent methods for coupled component and material responses, novel methods for notch root analysis, fracture mechanics, damage mechanics, crack growth kinetics, life prediction and durability, and prediction of stochastic fatigue behavior reflecting microstructure and service conditions)
Models for early stages of fatigue crack formation and growth that explicitly consider microstructure and relevant materials science aspects
Understanding the influence or manufacturing and processing route on fatigue degradation, and embedding this understanding in more predictive schemes for mitigation and design against fatigue
Prognosis and damage state awareness (including sensors, monitoring, methodology, interactive control, accelerated methods, data interpretation)
Applications of technologies associated with fatigue and their implications for structural integrity and reliability. This includes issues related to design, operation and maintenance, i.e., life cycle engineering
Smart materials and structures that can sense and mitigate fatigue degradation
Fatigue of devices and structures at small scales, including effects of process route and surfaces/interfaces.