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Author:

Wang, Bing-Lei (Wang, Bing-Lei.) | Zhao, Jun-Feng (Zhao, Jun-Feng.) | Zhou, Shen-Jie (Zhou, Shen-Jie.) | Chen, Xi (Chen, Xi.)

Indexed by:

SCIE EI Scopus CSCD

Abstract:

By incorporating the strain gradient elasticity into the classical Bernoulli-Euler beam and Timoshenko beam models, the size-dependent characteristics of wave propagation in micro/nanobeams is studied. The formulations of dispersion relation are explicitly derived for both strain gradient beam models, and presented for different material length scale parameters (MLSPs). For both phenomenological sizedependent beam models, the angular frequency, phase velocity and group velocity increase with increasing wave number. However, the velocity ratios approach different values for different beam models, indicating an interesting behavior of the asymptotic velocity ratio. The present theory is also compared with the nonlocal continuum beam models.

Keyword:

Bernoulli-Euler beam theory Strain gradient elasticity theory Timoshenko beam theory Wave propagation

Author Community:

  • [ 1 ] [Wang, Bing-Lei; Zhao, Jun-Feng] Shandong Univ, Dept Engn Mech, Jinan 250061, Peoples R China
  • [ 2 ] [Zhao, Jun-Feng; Zhou, Shen-Jie] Shandong Univ, Sch Mech Engn, Jinan 250061, Peoples R China
  • [ 3 ] [Chen, Xi] Columbia Univ, Dept Earth & Environm Engn, New York, NY 10027 USA
  • [ 4 ] [Chen, Xi] Xi An Jiao Tong Univ, Int Ctr Appl Mech, Sch Aerosp, SV Lab, Xian 710049, Peoples R China

Reprint Author's Address:

  • Shandong Univ, Dept Engn Mech, Jinan 250061, Peoples R China.

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Source :

ACTA MECHANICA SINICA

ISSN: 0567-7718

Year: 2012

Issue: 6

Volume: 28

Page: 1659-1667

0 . 6 8 8

JCR@2012

1 . 9 7 5

JCR@2020

ESI Discipline: ENGINEERING;

ESI HC Threshold:157

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 9

SCOPUS Cited Count: 10

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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