标题:A reformulated flexoelectric theory for isotropic dielectrics
作者:Li, Anqing; Zhou, Shenjie; Qi, Lu; Chen, Xi
作者机构:[Li, Anqing; Zhou, Shenjie; Qi, Lu] Shandong Univ, Sch Mech Engn, Jinan 250061, Shandong, Peoples R China.; [Li, Anqing; Zhou, Shenjie; Qi, Lu] Shan 更多
通讯作者地址:[Li, AQ]Shandong Univ, Sch Mech Engn, Jinan 250061, Shandong, Peoples R China.
来源:JOURNAL OF PHYSICS D-APPLIED PHYSICS
出版年:2015
卷:48
期:46
DOI:10.1088/0022-3727/48/46/465502
关键词:flexoelectricity; strain gradient elasticity; variational principle;; electromechanics; size effect
摘要:In flexoelectricity, a strain gradient can induce polarization and a polarization gradient can induce mechanical stress. In this paper, in order to identify the contributions of each strain gradient component, the flexoelectric theory is reformulated by splitting the strain gradient tensor into mutually independent parts. Two sets of orthogonal higher-order deformation metrics are inherited and perfected to reformulate the internal energy density for isotropic materials. The deviatoric stretch gradient and the symmetric part of the rotation gradient are proved to disappear in the coupling of strain gradient to polarization and, moreover, the independent higher-order constants associated with the coupling of strain gradient to strain gradient reduce from five to three. The constitutive relations are then reformulated in terms of the new deformation and electric field metrics, and the governing equations and boundary conditions are derived according to the variational principle of electric enthalpy. On the basis of the present simplified flexoelectric theory, a flexoelectric Bernoulli-Euler beam theory is specified. Solutions for a cantilever subjected to a force at the free end and a voltage cross the thickness are constructed and the size-dependent direct and inverse flexoelectric effects are captured.
收录类别:EI;SCOPUS;SCIE
WOS核心被引频次:13
Scopus被引频次:13
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84947081057&doi=10.1088%2f0022-3727%2f48%2f46%2f465502&partnerID=40&md5=b13f6af71ddcc4aaafcda76dfd70cd95
TOP