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Updated: Dec 7, 2025

Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
Published on: June 28, 2024
Research on perturbation method for nonlinear elastic waves
Lu Jia1, Shouguo Yan1, Bixing Zhang1
1State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, People's Republic of Chinajialu@mail.ioa.ac.ac, yanshouguo@mail.ioa.ac.cn, zhbx@mail.ioa.ac.cn, huangjuan@mail.ioa.ac.cn.
Abstract:
This paper explores the propagation of nonlinear elastic waves in a two-dimensional isotropic medium. The analytical expressions of first-order potentials corresponding to second harmonic acoustic components are obtained and discussed by using the perturbation method. Based on the careful theoretical analysis, it is shown that the first-order P wave always has a resonant term, which is proportional to the propagation distance in the condition of simultaneous excitation of the P wave. On the contrary, the first-order SV wave does not have any cumulative effect. Moreover, the nonlinear interactions between the P wave and SV are also presented.
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