Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 408, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2020.109268
Keywords
Elastic waves; Nanoscale phononic crystals; Band structures; Radial basis functions; Nonlocal elasticity theory
Funding
- Postdoctoral Fellowship of Hui Zheng at the Communications Design and Research Institute Co., Ltd of Jiangxi Province
- National Natural Science Foundation of China [11702125]
- Double-Thousand Talents Program of Jiangxi Province
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In this paper, the band structures of nanoscale phononic crystals based on the nonlocal elasticity theory are calculated by using a meshfree local radial basis function collocation method (LRBFCM). The direct method is applied to enhance the stability of the derivative calculations in the LRBFCM. A simple summation in the LRBFCM is proposed to deal with the integration related to the nonlocal stresses or tractions. The LRBFCM for the band structure calculations is validated by the results obtained with the first-principle and the transfer matrix (TM) method for one-dimensional (1D) phononic crystals, as well as the comparison of the frequency responses of the two-dimensional (2D) periodic structures. (C) 2020 Elsevier Inc. All rights reserved.
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