A wave based method for two-dimensional time-harmonic elastic wave propagation in anisotropic media. (October 2021)

• Record Type: Journal Article
• Authors: Sun, Linlin; Chen, Zhikang; Zhang, Suyu; Chu, Liu
• Is Part Of: Applied mathematics letters. Volume 120(2021)
• Publication Date: 2021-10
• Subjects: Wave based method -- Anisotropic media -- Elastic wave -- Wave functions; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107292
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, the wave based method (WBM) is extended to solve two-dimensional anisotropic elastic wave problems. The wave functions satisfying the governing equations are employed as basis functions in the WBM. To remedy the absence of the basis functions for the general anisotropic elastic wave problems, a new method is proposed. In the method, the two governing equations are transformed into one high-order scalar equation and the basis functions are obtained by using the wave functions of the scalar equation. Two examples are carried out to validate the accuracy and efficiency of the present method.