Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects

作     者：Biao HU Juan LIU Yuxing WANG Bo ZHANG Jing WANG Huoming SHEN Biao HU;Juan LIU;Yuxing WANG;Bo ZHANG;Jing WANG;Huoming SHEN

作者机构：Applied Mechanics and Structure Safety Key Laboratory of Sichuan ProvinceSchool of Mechanics and Aerospace EngineeringSouthwest Jiaotong UniversityChengdu 610031China School of Mechanical and Electrical EngineeringSouthwest Petroleum UniversityChengdu 610500China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2022年第43卷第9期

页      面：1339-1354页

核心收录：

学科分类：07[理学] 08[工学] 070205[理学-凝聚态物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Nos.11502218,11672252,11602204,and 12102373) the Fundamental Research Funds for the Central Universities of China(No.2682020ZT106)。 

主　　题：surface effect(SE) scale parameters orthotropic foundation functional gradient graphene piezoelectric sandwich nanoplate 

摘      要：In this study,the wave propagation properties of piezoelectric sandwich nanoplates deposited on an orthotropic viscoelastic foundation are analyzed by considering the surface effects(SEs).The nanoplates are composed of a composite layer reinforced by graphene and two piezoelectric surface layers.Utilizing the modified Halpin-Tsai model,the material parameters of composite layers are obtained.The displacement field is determined by the sinusoidal shear deformation theory(SSDT).The Euler-Lagrange equation is derived by employing Hamilton’s principle and the constitutive equations of piezoelectric layers considering the SEs.Subsequently,the nonlocal strain gradient theory(NSGT)is used to obtain the equations of motion.Next,the effects of scale parameters,graphene distribution,orthotropic viscoelastic foundation,and SEs on the propagation behavior are numerically examined.The results reveal that the wave frequency is a periodic function of the orthotropic angle.Furthermore,the wave frequency increases with the increase in the SEs.