{"title":"Splitting of a Strip Consisting of Two Identical Orthotropic Half-Strips with Isotropy Axes Symmetrically Inclined to the Interface","authors":"K. B. Ustinov, N. L. Borisova","doi":"10.1134/S0025654424603252","DOIUrl":null,"url":null,"abstract":"<p>An exact analytical solution is obtained for the two-dimensional problem of a strip composed by two half-strips of equal thickness from the same linearly elastic orthotropic material with the main axes of the elasticity tensor symmetrically inclined to the interface and a central semi-infinite crack running along the interface. A self-balanced system of loads is assumed to be applied sufficiently far from the crack tip. For four independent active loading modes, expressions for stress intensity factors are found in the form of combinations of elementary functions or single integrals of combinations of elementary functions depending on three independent parameters.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2806 - 2819"},"PeriodicalIF":0.6000,"publicationDate":"2025-02-09","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/S0025654424603252","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
An exact analytical solution is obtained for the two-dimensional problem of a strip composed by two half-strips of equal thickness from the same linearly elastic orthotropic material with the main axes of the elasticity tensor symmetrically inclined to the interface and a central semi-infinite crack running along the interface. A self-balanced system of loads is assumed to be applied sufficiently far from the crack tip. For four independent active loading modes, expressions for stress intensity factors are found in the form of combinations of elementary functions or single integrals of combinations of elementary functions depending on three independent parameters.
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.