{"title":"正弦应变作用下非均匀粘弹性悬臂梁纵向断裂分析","authors":"Victor RİZOV","doi":"10.35378/gujs.1062749","DOIUrl":null,"url":null,"abstract":"This paper describes an analysis of lengthwise fracture in a viscoelastic inhomogeneous cantilever beam configuration under strain that is a sinusoidal function of time. The mechanical behaviour of the beam is treated by a viscoelastic model having two linear springs and a linear dashpot. The beam is continuously inhomogeneous along its thickness. Therefore, the modulii of elasticity of the springs and the coefficient of viscosity of the dashpot vary smoothly along the thickness of the beam. The compliance method is applied to derive a solution of the strain energy release rate for the lengthwise crack in the beam structure. The J-integral is used for verification. The stress-strain-time dependence of the viscoelastic model is applied for describing the behavior of the beam when obtaining solutions of the strain energy release rate and the J-integral. Solutions are derived for both positive and negative angle of rotation of the lower crack arm free end (when the angle is positive, the upper crack arm is free of stresses, while at negative angle both crack arms are loaded). The effects of various factors including the sign of the angle of rotation on the strain energy release rate are analyzed.","PeriodicalId":12615,"journal":{"name":"gazi university journal of science","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lengthwise Fracture Analysis of Inhomogeneous Viscoelastic Cantilever Beam Subjected to Sinusoidal Strains\",\"authors\":\"Victor RİZOV\",\"doi\":\"10.35378/gujs.1062749\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes an analysis of lengthwise fracture in a viscoelastic inhomogeneous cantilever beam configuration under strain that is a sinusoidal function of time. The mechanical behaviour of the beam is treated by a viscoelastic model having two linear springs and a linear dashpot. The beam is continuously inhomogeneous along its thickness. Therefore, the modulii of elasticity of the springs and the coefficient of viscosity of the dashpot vary smoothly along the thickness of the beam. The compliance method is applied to derive a solution of the strain energy release rate for the lengthwise crack in the beam structure. The J-integral is used for verification. The stress-strain-time dependence of the viscoelastic model is applied for describing the behavior of the beam when obtaining solutions of the strain energy release rate and the J-integral. Solutions are derived for both positive and negative angle of rotation of the lower crack arm free end (when the angle is positive, the upper crack arm is free of stresses, while at negative angle both crack arms are loaded). The effects of various factors including the sign of the angle of rotation on the strain energy release rate are analyzed.\",\"PeriodicalId\":12615,\"journal\":{\"name\":\"gazi university journal of science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"gazi university journal of science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35378/gujs.1062749\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"gazi university journal of science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35378/gujs.1062749","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Lengthwise Fracture Analysis of Inhomogeneous Viscoelastic Cantilever Beam Subjected to Sinusoidal Strains
This paper describes an analysis of lengthwise fracture in a viscoelastic inhomogeneous cantilever beam configuration under strain that is a sinusoidal function of time. The mechanical behaviour of the beam is treated by a viscoelastic model having two linear springs and a linear dashpot. The beam is continuously inhomogeneous along its thickness. Therefore, the modulii of elasticity of the springs and the coefficient of viscosity of the dashpot vary smoothly along the thickness of the beam. The compliance method is applied to derive a solution of the strain energy release rate for the lengthwise crack in the beam structure. The J-integral is used for verification. The stress-strain-time dependence of the viscoelastic model is applied for describing the behavior of the beam when obtaining solutions of the strain energy release rate and the J-integral. Solutions are derived for both positive and negative angle of rotation of the lower crack arm free end (when the angle is positive, the upper crack arm is free of stresses, while at negative angle both crack arms are loaded). The effects of various factors including the sign of the angle of rotation on the strain energy release rate are analyzed.
期刊介绍:
The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.