{"title":"T-Stress in an Orthotropic Strip with a Central Semi-Infinite Crack Loaded Far from the Crack Tip","authors":"K. B. Ustinov","doi":"10.1134/S0025654424603240","DOIUrl":null,"url":null,"abstract":"<p>Expressions for T-stresses are obtained based on the exact analytical solution of the two-dimensional problem of a strip of orthotropic material with the principal axes of the elasticity tensor directed parallel and perpendicular to its boundaries and a central semi-infinite crack. A balanced system of loads in the form of four independent active loading modes is assumed to be applied sufficiently far from the crack tip. It is shown that for two (antisymmetric) loading modes the T-stresses are equal to zero, and for the other two (symmetric) modes they are determined by one or two parameters composed of the elasticity tensor components. The T-stress dependencies for symmetric loading modes are obtained in the form of double integrals from combinations of elementary functions depending on one of the dimensionless parameters, the second of the dimensionless parameters is included in the expression for the T-stresses of only one of the modes in the form of a multiplicative coefficient.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 4","pages":"1930 - 1939"},"PeriodicalIF":0.6000,"publicationDate":"2024-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424603240","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Expressions for T-stresses are obtained based on the exact analytical solution of the two-dimensional problem of a strip of orthotropic material with the principal axes of the elasticity tensor directed parallel and perpendicular to its boundaries and a central semi-infinite crack. A balanced system of loads in the form of four independent active loading modes is assumed to be applied sufficiently far from the crack tip. It is shown that for two (antisymmetric) loading modes the T-stresses are equal to zero, and for the other two (symmetric) modes they are determined by one or two parameters composed of the elasticity tensor components. The T-stress dependencies for symmetric loading modes are obtained in the form of double integrals from combinations of elementary functions depending on one of the dimensionless parameters, the second of the dimensionless parameters is included in the expression for the T-stresses of only one of the modes in the form of a multiplicative coefficient.
期刊介绍：
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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