{"title":"热载荷下准晶固体三维断裂力学分析的边界元法","authors":"Roman Kushnir , Heorhiy Sulym , Iaroslav Pasternak , Vitalii Kozelko","doi":"10.1016/j.prostr.2025.06.019","DOIUrl":null,"url":null,"abstract":"<div><div>This study presents a boundary element approach for analyzing 3D cracks in thermoelastic quasicrystals. The approach uses compact notations, combining phonon and phason fields into extended vectors and tensors, simplifying the equilibrium equations. Boundary integral equations are derived for heat conduction and thermoelasticity, avoiding the need for volume discretization. Special methods are employed to evaluate integrals and determine stress intensity factors at the crack front.</div></div>","PeriodicalId":20518,"journal":{"name":"Procedia Structural Integrity","volume":"68 ","pages":"Pages 32-38"},"PeriodicalIF":0.0000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Boundary element method for 3D fracture mechanics analysis in quasicrystal solids under thermal loading\",\"authors\":\"Roman Kushnir , Heorhiy Sulym , Iaroslav Pasternak , Vitalii Kozelko\",\"doi\":\"10.1016/j.prostr.2025.06.019\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study presents a boundary element approach for analyzing 3D cracks in thermoelastic quasicrystals. The approach uses compact notations, combining phonon and phason fields into extended vectors and tensors, simplifying the equilibrium equations. Boundary integral equations are derived for heat conduction and thermoelasticity, avoiding the need for volume discretization. Special methods are employed to evaluate integrals and determine stress intensity factors at the crack front.</div></div>\",\"PeriodicalId\":20518,\"journal\":{\"name\":\"Procedia Structural Integrity\",\"volume\":\"68 \",\"pages\":\"Pages 32-38\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Procedia Structural Integrity\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2452321625000204\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Procedia Structural Integrity","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2452321625000204","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Boundary element method for 3D fracture mechanics analysis in quasicrystal solids under thermal loading
This study presents a boundary element approach for analyzing 3D cracks in thermoelastic quasicrystals. The approach uses compact notations, combining phonon and phason fields into extended vectors and tensors, simplifying the equilibrium equations. Boundary integral equations are derived for heat conduction and thermoelasticity, avoiding the need for volume discretization. Special methods are employed to evaluate integrals and determine stress intensity factors at the crack front.