Wave Propagation in Viscoelastic Functionally Graded Nanoplates:Comparison of the Integral and Differential Nonlocal Models
作者机构：School of Mechanical and Power EngineeringHenan Polytechnic UniversityJiaozuo 454003China
出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)
年 卷 期：2023年第36卷第5期
页 面：724-733页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：Project funded by China Postdoctoral Science Foundation,2021M701102 Xianhui Wang,Henan University Science and Technology Innovation Team Support Plan,23IRTSTHN016,Jiangong Yu
主 题：Modified nonlocal theory Viscoelasticity Wave propagation Legendre polynomial Phase velocity Attenuation
摘 要：As one of the popular non-classical continuum theories in functionally graded material(FGM)nanostructures,the modified nonlocal theory(MNT)has been applied in various mechanical ***,due to the difficult solution process,the original integral formulation of MNT(IMNT)is transformed into a differential formulation of MNT(DMNT),which results in an inevitable approximation *** clarify the consistency and difference between two formulations,the Lamb wave characteristics in viscoelastic FGM nanoplates are *** mathematical models are established based on the IMNT and DMNT,and solved by the proposed displacement-based and strain-based Legendre polynomial series approaches(LPSAs),*** with the available data verify the validates of the presented *** examples indicate that the results from the DMNT and IMNT are significantly different at high *** important differences are *** example,the escape frequency only appears in the results from DMNT,but not in *** addition to comparing with classical structures,more attention should be paid to the attenuation characteristics of nonlocal nanostructures.
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