{"title":"对 Herıtage 型可破坏材料制成的圆柱杆在扭转过程中的长期强度问题进行数学研究","authors":"N. K. Akhmedov, S. A. Piriev, M. A. Rustamova","doi":"10.1134/S0025654424603434","DOIUrl":null,"url":null,"abstract":"<p>The problem of dispersed failure of isotropic and cylindrical-anisotropic rods made of damageable materials during torsion has been investigated. Non-linear differential equations have been formulated, representing the expansion of dispersion front during torsion of rod transmitting power under a constant torque. For the development of dispersed failure process, formulas have been obtained to identify incubation period and, the problem has been resolved.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 3","pages":"1603 - 1613"},"PeriodicalIF":0.6000,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematıcal Investıgatıon of Long-Term Strength Issues of Cylındrıcal Rods Made of Herıtage-Type Damageable Materıals Durıng Torsıon\",\"authors\":\"N. K. Akhmedov, S. A. Piriev, M. A. Rustamova\",\"doi\":\"10.1134/S0025654424603434\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The problem of dispersed failure of isotropic and cylindrical-anisotropic rods made of damageable materials during torsion has been investigated. Non-linear differential equations have been formulated, representing the expansion of dispersion front during torsion of rod transmitting power under a constant torque. For the development of dispersed failure process, formulas have been obtained to identify incubation period and, the problem has been resolved.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":\"59 3\",\"pages\":\"1603 - 1613\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-11-01\",\"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/S0025654424603434\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424603434","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Mathematıcal Investıgatıon of Long-Term Strength Issues of Cylındrıcal Rods Made of Herıtage-Type Damageable Materıals Durıng Torsıon
The problem of dispersed failure of isotropic and cylindrical-anisotropic rods made of damageable materials during torsion has been investigated. Non-linear differential equations have been formulated, representing the expansion of dispersion front during torsion of rod transmitting power under a constant torque. For the development of dispersed failure process, formulas have been obtained to identify incubation period and, the problem has been resolved.
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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