{"title":"Buckling morphology of glassy nematic films with staggered director field","authors":"Shan Xia, Linghui He","doi":"10.1007/s10483-023-3052-7","DOIUrl":null,"url":null,"abstract":"<div><p>The photo-induced buckling of axially periodic glassy nematic films with alternating stripped director domains is explored by the Föppl-von Kármán plate theory along with a modified kinetics approach. The effects of domain widths on the critical light intensity as well as the buckling morphology are examined numerically. It is found that in most cases the buckled film forms regularly aligned dimples and protrusions, but shows large scale bending perpendicular to the periodic axis if the widths of the stripes are nearly the same. In addition, change in light intensity is shown to alter the wavenumber of the buckling pattern. These results are expected helpful to the design of shape-shifting structures with glassy nematic films.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 11","pages":"1841 - 1852"},"PeriodicalIF":4.5000,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Mechanics-English Edition","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10483-023-3052-7","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The photo-induced buckling of axially periodic glassy nematic films with alternating stripped director domains is explored by the Föppl-von Kármán plate theory along with a modified kinetics approach. The effects of domain widths on the critical light intensity as well as the buckling morphology are examined numerically. It is found that in most cases the buckled film forms regularly aligned dimples and protrusions, but shows large scale bending perpendicular to the periodic axis if the widths of the stripes are nearly the same. In addition, change in light intensity is shown to alter the wavenumber of the buckling pattern. These results are expected helpful to the design of shape-shifting structures with glassy nematic films.
期刊介绍:
Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China.
Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.