{"title":"一类准脆性结合材料界面裂纹的解析解","authors":"A. A. Kaminsky, M. V. Dudyk, Y. O. Chornoivan","doi":"10.1111/ffe.14655","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>An analytical solution to the problem of an interface crack in the presence of a small-scale process zone in a quasi-brittle bonding material near the crack tip is presented. In the process zone, a quadratic strength criterion of the Mises–Hill type is assumed. The problem of calculating the parameters of the process zone is reduced to a vector functional equation, for which a precise analytical solution can be found using the Wiener–Hopf method. From the solution found, a closed system of transcendental equations is derived for determining the length of the process zone, the phase angle of the load, and the energy release rate in the zone, which form an accessible algorithm for estimating the limit loads that precede propagation of the crack along the interface. Numerical analysis of the developed model is performed, and the possibility of its application in fracture studies of some composite materials is demonstrated.</p>\n </div>","PeriodicalId":12298,"journal":{"name":"Fatigue & Fracture of Engineering Materials & Structures","volume":"48 7","pages":"2995-3006"},"PeriodicalIF":3.2000,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Analytical Solution for the Interface Crack in a Quasi-Brittle Bonding Material\",\"authors\":\"A. A. Kaminsky, M. V. Dudyk, Y. O. Chornoivan\",\"doi\":\"10.1111/ffe.14655\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n <p>An analytical solution to the problem of an interface crack in the presence of a small-scale process zone in a quasi-brittle bonding material near the crack tip is presented. In the process zone, a quadratic strength criterion of the Mises–Hill type is assumed. The problem of calculating the parameters of the process zone is reduced to a vector functional equation, for which a precise analytical solution can be found using the Wiener–Hopf method. From the solution found, a closed system of transcendental equations is derived for determining the length of the process zone, the phase angle of the load, and the energy release rate in the zone, which form an accessible algorithm for estimating the limit loads that precede propagation of the crack along the interface. Numerical analysis of the developed model is performed, and the possibility of its application in fracture studies of some composite materials is demonstrated.</p>\\n </div>\",\"PeriodicalId\":12298,\"journal\":{\"name\":\"Fatigue & Fracture of Engineering Materials & Structures\",\"volume\":\"48 7\",\"pages\":\"2995-3006\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2025-04-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fatigue & Fracture of Engineering Materials & Structures\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1111/ffe.14655\",\"RegionNum\":2,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fatigue & Fracture of Engineering Materials & Structures","FirstCategoryId":"88","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/ffe.14655","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
An Analytical Solution for the Interface Crack in a Quasi-Brittle Bonding Material
An analytical solution to the problem of an interface crack in the presence of a small-scale process zone in a quasi-brittle bonding material near the crack tip is presented. In the process zone, a quadratic strength criterion of the Mises–Hill type is assumed. The problem of calculating the parameters of the process zone is reduced to a vector functional equation, for which a precise analytical solution can be found using the Wiener–Hopf method. From the solution found, a closed system of transcendental equations is derived for determining the length of the process zone, the phase angle of the load, and the energy release rate in the zone, which form an accessible algorithm for estimating the limit loads that precede propagation of the crack along the interface. Numerical analysis of the developed model is performed, and the possibility of its application in fracture studies of some composite materials is demonstrated.
期刊介绍:
Fatigue & Fracture of Engineering Materials & Structures (FFEMS) encompasses the broad topic of structural integrity which is founded on the mechanics of fatigue and fracture, and is concerned with the reliability and effectiveness of various materials and structural components of any scale or geometry. The editors publish original contributions that will stimulate the intellectual innovation that generates elegant, effective and economic engineering designs. The journal is interdisciplinary and includes papers from scientists and engineers in the fields of materials science, mechanics, physics, chemistry, etc.