Wavelength-dependent strain gradient modeling of two-dimensional lattice metamaterials
文献类型：期刊论文
| 作者 | Wang, Binying2; Liu, Jinxing2; Liang NG(梁乃刚)1 |
| 刊名 | ACTA MECHANICA SINICA
 |
| 出版日期 | 2025-08-15 |
| 卷号 | 41期号:9页码:25 |
| 关键词 | Strain gradient continuum Dispersion relation Band gap Irreducible Brillouin zone Taylor expansion |
| ISSN号 | 0567-7718 |
| DOI | 10.1007/s10409-024-24524-x |
| 通讯作者 | Liu, Jinxing(jxliu@mails.ucas.ac.cn) |
| 英文摘要 | A robust generalized continuum model called the wavelength-dependent strain gradient continuum model (WDSGM) has been proposed to predict dispersion properties of two-dimensional (2D) periodic lattice metamaterials. The key idea lies in replacing the classical Taylor expansion of displacement fields with a wavelength-dependent one, naturally leading to new equations of motion and therefore a significantly improved capability of predicting dispersion characteristics. For different 2D lattices, dispersion results derived from the proposed WDSGM are verified by comparing with those obtained from the discrete model and the existing strain gradient continuum model (SGM) in the irreducible Brillouin zone. Based on the proposed model, the effects of SG orders have been investigated. Results suggest that considering the wavelength-dependent Taylor expansion and increasing the SG order are beneficial to improving the predictive performance of continuum models. The proposed model is free of any instability issue which is challenging for many existing SG methods. Under given parameters, the proposed WDSGM with eighth-order truncation is enough to predict the dispersion relation of three lattices, i.e., the square, triangular and hexagonal lattices throughout the irreducible Brillouin zone. |
| 分类号 | 一类 |
| WOS关键词 | ACOUSTIC METAMATERIALS ; WAVE-PROPAGATION ; CONTINUUM MODEL ; ELASTIC-WAVE |
| 资助项目 | National Natural Science Foundation of China[12472066] |
| WOS研究方向 | Engineering ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:001558630000001 |
| 资助机构 | National Natural Science Foundation of China |
| 其他责任者 | Liu, Jinxing |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/103656]  |
| 专题 | 力学研究所_职能与支撑部门 |
| 作者单位 | 1.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China 2.Jiangsu Univ, Fac Civil Engn & Mech, Zhenjiang 212013, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Wang, Binying,Liu, Jinxing,Liang NG. Wavelength-dependent strain gradient modeling of two-dimensional lattice metamaterials[J]. ACTA MECHANICA SINICA,2025,41(9):25. |
| APA | Wang, Binying,Liu, Jinxing,&梁乃刚.(2025).Wavelength-dependent strain gradient modeling of two-dimensional lattice metamaterials.ACTA MECHANICA SINICA,41(9),25. |
| MLA | Wang, Binying,et al."Wavelength-dependent strain gradient modeling of two-dimensional lattice metamaterials".ACTA MECHANICA SINICA 41.9(2025):25. |
入库方式： OAI收割
来源：力学研究所
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