{"title":"Equilibrium of micropolar bodies with predeformed regions. The superposition of large deformations","authors":"V.A. Levin","doi":"10.1016/j.jappmathmech.2017.08.014","DOIUrl":null,"url":null,"abstract":"<div><p><span><span>A formulation of problems concerning the equilibrium of non-linearly elastic micropolar bodies is presented for the case of the superposition of large deformations. The </span>kinematic relations<span> of large deformation superposition theory are given for micropolar materials, and the constitutive relations and </span></span>equilibrium equations of a micropolar medium in the intermediate state coordinates are obtained. Some results of the solution of a model problem based on large deformation superposition theory are presented.</p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"81 3","pages":"Pages 223-227"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2017.08.014","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021892817300801","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 6
Abstract
A formulation of problems concerning the equilibrium of non-linearly elastic micropolar bodies is presented for the case of the superposition of large deformations. The kinematic relations of large deformation superposition theory are given for micropolar materials, and the constitutive relations and equilibrium equations of a micropolar medium in the intermediate state coordinates are obtained. Some results of the solution of a model problem based on large deformation superposition theory are presented.
期刊介绍：
This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.
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