{"title":"Calculation of Stresses Initiated by an Electrical Explosion of Conductors in a Composite Thick-Walled Cylinder","authors":"V. M. Kats, V. A. Morozov, Ya. A. Sevastyanov","doi":"10.1134/s1063454123040192","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this paper, we present an analysis of the dynamic loading of a material carried out by the method of electrical explosion of conductors (EEC). A composite cylinder, which is a thick-walled polymethyl methacrylate cylinder with an axial hole that is pressed into an aluminum shell, is selected as the experimental sample. The sample is loaded by applying an electrical voltage to a conductor in the form of a copper wire placed inside the axial hole of the sample. A state equation for an electrical explosion of the conductor is obtained; the experimental and calculated dependences of pressure in the air channel on the expansion coefficient of the EEC products are plotted. A theoretical model that describes the change in radial stresses arising during loading with allowance for the boundary and initial conditions is developed. The accuracy of the model is substantiated by comparing the obtained results with experimental data. The circumferential stress at which the aluminum shell ruptures directly is estimated.</p>","PeriodicalId":43418,"journal":{"name":"Vestnik St Petersburg University-Mathematics","volume":"26 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vestnik St Petersburg University-Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1063454123040192","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we present an analysis of the dynamic loading of a material carried out by the method of electrical explosion of conductors (EEC). A composite cylinder, which is a thick-walled polymethyl methacrylate cylinder with an axial hole that is pressed into an aluminum shell, is selected as the experimental sample. The sample is loaded by applying an electrical voltage to a conductor in the form of a copper wire placed inside the axial hole of the sample. A state equation for an electrical explosion of the conductor is obtained; the experimental and calculated dependences of pressure in the air channel on the expansion coefficient of the EEC products are plotted. A theoretical model that describes the change in radial stresses arising during loading with allowance for the boundary and initial conditions is developed. The accuracy of the model is substantiated by comparing the obtained results with experimental data. The circumferential stress at which the aluminum shell ruptures directly is estimated.
期刊介绍：
Vestnik St. Petersburg University, Mathematics is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.
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