{"title":"An iteration method to study nonlinear wave propagation for a non-Green elastic 1D bar","authors":"R. Bustamante, P. Arrue, O. Orellana, R. Meneses","doi":"10.1093/imamat/hxae017","DOIUrl":null,"url":null,"abstract":"\n The problem of propagation of nonlinear waves in a 1D bar is studied, wherein the linearized strain tensor is considered as a function of the Cauchy stress tensor. Specifically, two constitutive equations for non-Green elastic solids are investigated, introducing a novel numerical iterative method capable to obtain approximate solutions of one nonlinear constitutive equation for rock, and one constitutive equation that shows a strain limiting behaviour. The numerical results are compared with exact solutions for the case of a linearized elastic solid.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":"60 1","pages":""},"PeriodicalIF":17.7000,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1093/imamat/hxae017","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of propagation of nonlinear waves in a 1D bar is studied, wherein the linearized strain tensor is considered as a function of the Cauchy stress tensor. Specifically, two constitutive equations for non-Green elastic solids are investigated, introducing a novel numerical iterative method capable to obtain approximate solutions of one nonlinear constitutive equation for rock, and one constitutive equation that shows a strain limiting behaviour. The numerical results are compared with exact solutions for the case of a linearized elastic solid.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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