A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry
A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry
复制标题
任意几何散射体声子晶体能带结构计算的局部径向基函数配置方法
DOI：
10.1016/j.apm.2018.03.023
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发表时间：
2018-08
影响因子：
5
通讯作者：
Tyrer M
中科院分区：
文献类型：
--
作者：
Zheng H;Yang Z;Zhang Ch;Tyrer M
A numerical algorithm based on the local radial basis function collocation method (LRBFCM) is developed to efficiently compute the derivatives of primary field quantities. Instead of a direct calculation of the derivatives by partial differentiation of the shape functions as in traditional numerical approaches, the derivative calculation in the present work is performed using a simple finite difference scheme with an introduced fictitious node. The developed algorithm is geometrically very flexible and can be easily applied to the continuity and boundary conditions of arbitrary geometries, which require an accurate derivative computation of the primary field quantities. The developed LRBFCM are applied to phononic crystals with scatterers of arbitrary geometry, which has not yet been reported before to the authors’ knowledge. A few examples for anti-plane elastic wave propagation are modelled to validate the developed LRBFCM. A comparison with finite element modelling shows that the present method is efficient and flexible.
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影响因子：
--
作者：
Zhi-jie Shi;Yuesheng Wang;Chuanzeng Zhang
通讯作者：
Zhi-jie Shi;Yuesheng Wang;Chuanzeng Zhang
影响因子：
3.7
作者：
Jia-Hong Sun;Tsung-Tsong Wu
通讯作者：
Jia-Hong Sun;Tsung-Tsong Wu
影响因子：
2.6
作者：
Yongjun Cao;Z. Hou;You-yan Liu
通讯作者：
Yongjun Cao;Z. Hou;You-yan Liu
DOI：
10.1016/j.enganabound.2016.01.012
发表时间：
2016-05
影响因子：
3.3
作者：
Hui Zheng;Chuanzeng Zhang;Yuesheng Wang;J. Sládek;V. Sládek
通讯作者：
Hui Zheng;Chuanzeng Zhang;Yuesheng Wang;J. Sládek;V. Sládek
DOI：
10.1016/j.enganabound.2008.04.009
发表时间：
2009-02
影响因子：
3.3
作者：
E. E. Hart-E.;S. Cox;K. Djidjeli;V. Kubytskyi
通讯作者：
E. E. Hart-E.;S. Cox;K. Djidjeli;V. Kubytskyi