On approximating guided waves in plates with thin anisotropic coatings by means of effective boundary conditions
On approximating guided waves in plates with thin anisotropic coatings by means of effective boundary conditions
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DOI：
10.1121/1.1286882
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发表时间：
2000-08
期刊：
影响因子：
--
通讯作者：
Niklasson;Datta;Dunn
中科院分区：
文献类型：
--
作者：
Niklasson;Datta;Dunn
本文导出了弹性波在薄涂层板中传播的有效边界条件。利用这些有效的边界条件，得到了各向异性薄涂层的各向同性板中导波的近似色散关系。通过与两种不同材料系统的精确解的比较，对有效边界条件的精度进行了数值研究。所考虑的系统由金属核心和薄超导涂层组成。结果表明，对于波长长度与涂层厚度的比较，两种系统的近似解和精确解之间有很好的一致性。此外，数值结果可用于超声技术表征涂层的性能。
In this paper, effective boundary conditions for elastic wave propagation in plates with thin coatings are derived. These effective boundary conditions are used to obtain an approximate dispersion relation for guided waves in an isotropic plate with thin anisotropic coating layers. The accuracy of the effective boundary conditions is investigated numerically by comparison with exact solutions for two different material systems. The systems considered consist of a metallic core with thin superconducting coatings. It is shown that for wavelengths long compared to the coating thickness there is excellent agreement between the approximate and exact solutions for both systems. Furthermore, numerical results presented might be used to characterize coating properties by ultrasonic techniques.