论文类型：期刊论文
第一作者：Haoyu Xu
通讯作者：Hongping Hu
合写作者：Weiwei Wang,Ningdong Hu,Mingge Yao
发表刊物：Applied Mathematical Modelling
收录刊物：SCI
所属单位：Huazhong University of Science and Technology
学科门类：工学
一级学科：力学
项目来源：Shanghai Aerospace Science and Technology Innovation Fund (No. SAST2023-042), and National Natural S
文献类型：J
卷号：146
页面范围：116172
ISSN号：0307-904X
关键字：Nonlocal strain gradient theory Method of reverberation-ray matrix Band structures Size effect
DOI码：10.1016/j.apm.2025.116172
发表时间：2025-04-29
影响因子：4.4
摘要：With the proposal of the high-order nonlocal theories for studying size effect on nano structure, due to the poor numerical convergence, the traditional transfer matrix method (TMM) can no longer meet its requirements in the research of the size effect on nano phononic crystals (PnCs), which leads to the lack of research on nano PnCs. To overcome the shortcoming, a theoretical model is established for the analysis of size effect on the PnCs based on nonlocal strain gradient theory (NSGT). The method of reverberation-ray matrix (MRRM) is first introduced to obtain the analytical solution of size effect on band structures of the PnCs. Compared with TMM, MRRM shows excellent numerical stability in studying size effect on both finite and infinite nano PnCs with a wide parameter range, which is verified by finite element method (FEM). Numerical results reveal that softening effect will reduce the frequency, while the stiffening effect will increase the frequency, thereby leading to a complex size effect on the band structure and wave attenuation. The different mechanisms of softening and hardening effects on the bandwidth and wave attenuation of the first bandgap are investigated. The stiffening effect first widens the bandwidth and enhances wave attenuation at lower intensities, while narrowing the bandwidth and weak­ening wave attenuation at higher intensities. However, the softening effect only narrows the bandwidth and enhances wave attenuation. There exist specific optimal nonlocal parameters that maximize both bandwidth and wave attenuation. This study paves the way for investigating the size effect on nano PnCs with a numerical stable calculation method, and provides theoretical guidance for the design and application of nano PnCs.
发布期刊链接：https://doi.org/10.1016/j.apm.2025.116172