{"title":"Mathematical Modeling of the Stress-Strain State of Layered Composite Materials","authors":"B. A. Snigerev","doi":"10.1134/S106378502670029X","DOIUrl":null,"url":null,"abstract":"<p>A mathematical model for calculating the stress-strain state of a product consisting of layered composite materials has been developed. When constructing a mathematical model of a product, three-dimensional equations of the theory of elasticity are used. The components of the desired displacements are approximated by linear polynomials along the coordinate normal to the median surface of the body according to the classical Kirchhoff–Love theory. Using the Lagrange variational principle, a system of differential equations of equilibrium and the corresponding boundary conditions are obtained. The solution of the formulated boundary value problem is carried out by consistent application of the finite element method. The results obtained by the proposed theory are compared with the data presented in publications by other authors.</p>","PeriodicalId":784,"journal":{"name":"Technical Physics Letters","volume":"52 3","pages":"146 - 148"},"PeriodicalIF":0.8000,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Technical Physics Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S106378502670029X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
A mathematical model for calculating the stress-strain state of a product consisting of layered composite materials has been developed. When constructing a mathematical model of a product, three-dimensional equations of the theory of elasticity are used. The components of the desired displacements are approximated by linear polynomials along the coordinate normal to the median surface of the body according to the classical Kirchhoff–Love theory. Using the Lagrange variational principle, a system of differential equations of equilibrium and the corresponding boundary conditions are obtained. The solution of the formulated boundary value problem is carried out by consistent application of the finite element method. The results obtained by the proposed theory are compared with the data presented in publications by other authors.
期刊介绍：
Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.
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