{"title":"A novel distribution function for modeling oxygen diffusion in functionally graded materials with cracks","authors":"Robert Lammert, Vera E. Petrova, Stefan Weihe","doi":"10.1016/j.engfracmech.2025.111006","DOIUrl":null,"url":null,"abstract":"<div><div>Oxygen diffusion in a functionally graded material (FGM) is modeled by an elastic modulus profile that covers the FGM and the thermally grown oxide (TGO) areas. The profile is based on a novel Gaussian-like distribution that becomes an adaptive weight function by scaling, shifting and using a (symmetry breaking) median adjustment parameter. The properties of this new type of distribution are analyzed and the pure FGM (no oxygen) is compared with the FGM+TGO scenario for a semi-infinite structure with three edge cracks. The fracture analysis is based on critical loads, determined for different crack distances and inclination angles.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"319 ","pages":"Article 111006"},"PeriodicalIF":4.7000,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Fracture Mechanics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0013794425002073","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Oxygen diffusion in a functionally graded material (FGM) is modeled by an elastic modulus profile that covers the FGM and the thermally grown oxide (TGO) areas. The profile is based on a novel Gaussian-like distribution that becomes an adaptive weight function by scaling, shifting and using a (symmetry breaking) median adjustment parameter. The properties of this new type of distribution are analyzed and the pure FGM (no oxygen) is compared with the FGM+TGO scenario for a semi-infinite structure with three edge cracks. The fracture analysis is based on critical loads, determined for different crack distances and inclination angles.
期刊介绍：
EFM covers a broad range of topics in fracture mechanics to be of interest and use to both researchers and practitioners. Contributions are welcome which address the fracture behavior of conventional engineering material systems as well as newly emerging material systems. Contributions on developments in the areas of mechanics and materials science strongly related to fracture mechanics are also welcome. Papers on fatigue are welcome if they treat the fatigue process using the methods of fracture mechanics.
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