Band structures of elastic SH waves in nanoscale multi-layered functionally graded phononic crystals with/without nonlocal interface imperfections by using a local RBF collocation method

Zhizhong Yan; Chunqiu Wei; Chuanzeng Zhang

doi:10.1016/j.camss.2017.07.012

Band structures of elastic SH waves in nanoscale multi-layered functionally graded phononic crystals with/without nonlocal interface imperfections by using a local RBF collocation method

Zhizhong Yan^*, Chunqiu Wei, Chuanzeng Zhang

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

A meshless radial basis function (RBF) collocation method based on the Eringen nonlocal elasticity theory is developed to calculate the band structures of ternary and quaternary nanoscale multi-layered phononic crystals (PNCs) with functionally graded (FG) interlayers. Detailed calculations are performed for anti-plane transverse waves propagating in such PNCs. The influences of FG and homogeneous interlayers, component number, nonlocal interface imperfections and nanoscale size on cut-off frequency and band structures are investigated in detail. Numerical results show that these factors have significant effects on band structures at the macroscopic and microscopic scales.

Original language	English
Pages (from-to)	390-403
Number of pages	14
Journal	Acta Mechanica Solida Sinica
Volume	30
Issue number	4
DOIs	https://doi.org/10.1016/j.camss.2017.07.012
Publication status	Published - Aug 2017

Keywords

Functionally graded interlayers
Multi-layered phononic crystals
Nanoscale
Nonlocal elasticity theory
Radial basis functions

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10.1016/j.camss.2017.07.012

Cite this

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title = "Band structures of elastic SH waves in nanoscale multi-layered functionally graded phononic crystals with/without nonlocal interface imperfections by using a local RBF collocation method",

abstract = "A meshless radial basis function (RBF) collocation method based on the Eringen nonlocal elasticity theory is developed to calculate the band structures of ternary and quaternary nanoscale multi-layered phononic crystals (PNCs) with functionally graded (FG) interlayers. Detailed calculations are performed for anti-plane transverse waves propagating in such PNCs. The influences of FG and homogeneous interlayers, component number, nonlocal interface imperfections and nanoscale size on cut-off frequency and band structures are investigated in detail. Numerical results show that these factors have significant effects on band structures at the macroscopic and microscopic scales.",

keywords = "Functionally graded interlayers, Multi-layered phononic crystals, Nanoscale, Nonlocal elasticity theory, Radial basis functions",

author = "Zhizhong Yan and Chunqiu Wei and Chuanzeng Zhang",

note = "Publisher Copyright: {\textcopyright} 2017",

year = "2017",

month = aug,

doi = "10.1016/j.camss.2017.07.012",

language = "English",

volume = "30",

pages = "390--403",

journal = "Acta Mechanica Solida Sinica",

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publisher = "Huazhong University of Science and Technology",

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Band structures of elastic SH waves in nanoscale multi-layered functionally graded phononic crystals with/without nonlocal interface imperfections by using a local RBF collocation method. / Yan, Zhizhong; Wei, Chunqiu; Zhang, Chuanzeng.
In: Acta Mechanica Solida Sinica, Vol. 30, No. 4, 08.2017, p. 390-403.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Band structures of elastic SH waves in nanoscale multi-layered functionally graded phononic crystals with/without nonlocal interface imperfections by using a local RBF collocation method

AU - Yan, Zhizhong

AU - Wei, Chunqiu

AU - Zhang, Chuanzeng

PY - 2017/8

Y1 - 2017/8

N2 - A meshless radial basis function (RBF) collocation method based on the Eringen nonlocal elasticity theory is developed to calculate the band structures of ternary and quaternary nanoscale multi-layered phononic crystals (PNCs) with functionally graded (FG) interlayers. Detailed calculations are performed for anti-plane transverse waves propagating in such PNCs. The influences of FG and homogeneous interlayers, component number, nonlocal interface imperfections and nanoscale size on cut-off frequency and band structures are investigated in detail. Numerical results show that these factors have significant effects on band structures at the macroscopic and microscopic scales.

AB - A meshless radial basis function (RBF) collocation method based on the Eringen nonlocal elasticity theory is developed to calculate the band structures of ternary and quaternary nanoscale multi-layered phononic crystals (PNCs) with functionally graded (FG) interlayers. Detailed calculations are performed for anti-plane transverse waves propagating in such PNCs. The influences of FG and homogeneous interlayers, component number, nonlocal interface imperfections and nanoscale size on cut-off frequency and band structures are investigated in detail. Numerical results show that these factors have significant effects on band structures at the macroscopic and microscopic scales.

KW - Functionally graded interlayers

KW - Multi-layered phononic crystals

KW - Nanoscale

KW - Nonlocal elasticity theory

KW - Radial basis functions

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DO - 10.1016/j.camss.2017.07.012

M3 - Article

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SN - 0894-9166

VL - 30

SP - 390

EP - 403

JO - Acta Mechanica Solida Sinica

JF - Acta Mechanica Solida Sinica

IS - 4

ER -

Band structures of elastic SH waves in nanoscale multi-layered functionally graded phononic crystals with/without nonlocal interface imperfections by using a local RBF collocation method

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Keywords

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