{"title":"包含柔电的圆形压电半导体板的弯曲分析","authors":"Liang Sun, Zhengguang Xiao, Chunli Zhang, Weiqiu Chen","doi":"10.1007/s10338-024-00466-8","DOIUrl":null,"url":null,"abstract":"<div><p>Based on the three-dimensional (3D) basic equations of piezoelectric semiconductors (PSs), we establish a two-dimensional (2D) deformation-polarization-carrier coupling bending model for PS structures, taking flexoelectricity into consideration. The analytical solutions to classical flexure of a clamped circular PS thin plate are derived. With the derived analytical model, we numerically investigate the distributions of electromechanical fields and the concentration of electrons in the circular PS thin plate under an upward concentrated force. The effect of flexoelectricity on the multi-field coupling responses of the circular PS plate is studied. The obtained results provide theoretical guidance for the design of novel PS devices.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 4","pages":"613 - 621"},"PeriodicalIF":2.0000,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bending Analysis of Circular Piezoelectric Semiconductor Plates Incorporating Flexoelectricity\",\"authors\":\"Liang Sun, Zhengguang Xiao, Chunli Zhang, Weiqiu Chen\",\"doi\":\"10.1007/s10338-024-00466-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Based on the three-dimensional (3D) basic equations of piezoelectric semiconductors (PSs), we establish a two-dimensional (2D) deformation-polarization-carrier coupling bending model for PS structures, taking flexoelectricity into consideration. The analytical solutions to classical flexure of a clamped circular PS thin plate are derived. With the derived analytical model, we numerically investigate the distributions of electromechanical fields and the concentration of electrons in the circular PS thin plate under an upward concentrated force. The effect of flexoelectricity on the multi-field coupling responses of the circular PS plate is studied. The obtained results provide theoretical guidance for the design of novel PS devices.</p></div>\",\"PeriodicalId\":50892,\"journal\":{\"name\":\"Acta Mechanica Solida Sinica\",\"volume\":\"37 4\",\"pages\":\"613 - 621\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2024-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica Solida Sinica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10338-024-00466-8\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica Solida Sinica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10338-024-00466-8","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Bending Analysis of Circular Piezoelectric Semiconductor Plates Incorporating Flexoelectricity
Based on the three-dimensional (3D) basic equations of piezoelectric semiconductors (PSs), we establish a two-dimensional (2D) deformation-polarization-carrier coupling bending model for PS structures, taking flexoelectricity into consideration. The analytical solutions to classical flexure of a clamped circular PS thin plate are derived. With the derived analytical model, we numerically investigate the distributions of electromechanical fields and the concentration of electrons in the circular PS thin plate under an upward concentrated force. The effect of flexoelectricity on the multi-field coupling responses of the circular PS plate is studied. The obtained results provide theoretical guidance for the design of novel PS devices.
期刊介绍：
Acta Mechanica Solida Sinica aims to become the best journal of solid mechanics in China and a worldwide well-known one in the field of mechanics, by providing original, perspective and even breakthrough theories and methods for the research on solid mechanics.
The Journal is devoted to the publication of research papers in English in all fields of solid-state mechanics and its related disciplines in science, technology and engineering, with a balanced coverage on analytical, experimental, numerical and applied investigations. Articles, Short Communications, Discussions on previously published papers, and invitation-based Reviews are published bimonthly. The maximum length of an article is 30 pages, including equations, figures and tables
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