{"title":"Mathisson–Papapetrou force on wedge disclinations","authors":"Cheng Yuan \n (, ), Xiao-Wen Lei \n (, ), Toshiyuki Fujii \n (, ), Kazuyuki Shizawa \n (, )","doi":"10.1007/s10409-024-24637-x","DOIUrl":null,"url":null,"abstract":"<div><p>In this study, we derive a more generalized form of the Mathisson–Papapetrou force equation and perform an in-depth analysis of the variation in the Mathisson–Papapetrou force between two wedge disclinations across different calculation models in a two-dimensional plane. The results demonstrate that the stress field magnitude along the <i>x</i><sub>1</sub> and <i>x</i><sub>2</sub> axes consistently remains zero, facilitating the wedge disclination dipole in achieving equilibrium state along these two directions within the plane. Furthermore, the stress field enables the Mathisson–Papapetrou force acting on one wedge disclination in semicircular motion to be approximated by the force in linear motion within the same two-dimensional plane. This study contributes a more comprehensive understanding of wedge disclination by deriving a generalized Mathisson–Papapetrou force equation applicable to disclinations.</p></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 4","pages":""},"PeriodicalIF":4.6000,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica Sinica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10409-024-24637-x","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
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Abstract
In this study, we derive a more generalized form of the Mathisson–Papapetrou force equation and perform an in-depth analysis of the variation in the Mathisson–Papapetrou force between two wedge disclinations across different calculation models in a two-dimensional plane. The results demonstrate that the stress field magnitude along the x1 and x2 axes consistently remains zero, facilitating the wedge disclination dipole in achieving equilibrium state along these two directions within the plane. Furthermore, the stress field enables the Mathisson–Papapetrou force acting on one wedge disclination in semicircular motion to be approximated by the force in linear motion within the same two-dimensional plane. This study contributes a more comprehensive understanding of wedge disclination by deriving a generalized Mathisson–Papapetrou force equation applicable to disclinations.
期刊介绍：
Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences.
Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences.
In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest.
Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics
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