A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory

•A meshfree LRBFCM based on the nonlocal elasticity theory is developed for wave propagation analysis in nanoscale phononic crystals.•The band structures of 1D nanoscale phononic crystals obtained by the LRBFCM agree well with the reference results.•The band structures and transmission coefficients...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 408; p. 109268
Main Authors:	Zheng, Hui, Zhou, Chuanbing, Yan, Dong-Jia, Wang, Yue-Sheng, Zhang, Chuanzeng
Format:	Journal Article
Language:	English
Published:	Cambridge Elsevier Inc 01.05.2020 Elsevier Science Ltd
Subjects:	Band structure of solids Band structures Collocation methods Computational physics Crystal structure Elastic waves First principles Mathematical analysis Meshless methods Nanoscale phononic crystals Nonlocal elasticity Nonlocal elasticity theory Periodic structures Radial basis function Radial basis functions Transfer matrices Band structures Nanoscale phononic crystals Radial basis functions Elastic waves Nonlocal elasticity theory
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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