Peridynamic modeling of nonlinear surface acoustic waves propagating in orthotropic materials

Zaiwei Liu; Bin Lin; Xiaohu Liang; Xiaokang Ma; Yangfan Wan

doi:10.1016/j.ultras.2023.107067

Peridynamic modeling of nonlinear surface acoustic waves propagating in orthotropic materials

Ultrasonics. 2023 Sep:134:107067. doi: 10.1016/j.ultras.2023.107067. Epub 2023 Jun 10.

Authors

Zaiwei Liu¹, Bin Lin², Xiaohu Liang¹, Xiaokang Ma¹, Yangfan Wan¹

Affiliations

¹ Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin 300354, China.
² Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin 300354, China. Electronic address: linbinph@tju.edu.cn.

PMID: 37329672
DOI: 10.1016/j.ultras.2023.107067

Abstract

Due to the elastic nonlinearity of the material, high-amplitude surface acoustic waves undergo nonlinear evolution during propagation and may lead to material failure. To enable the acoustical quantification of material nonlinearity and strength, a comprehensive understanding of this nonlinear evolution is necessary. This paper presents a novel ordinary state-based nonlinear peridynamic model for the analysis of the nonlinear propagation of surface acoustic waves and brittle fracture in anisotropic elastic media. The relationship between seven peridynamic constants and second- and third-order elastic constants is established. The capability of the developed peridynamic model has been demonstrated by predicting surface strain profiles of surface acoustic waves after propagating in the silicon (111) plane and the 〈112¯〉 direction. On this basis, the nonlinear wave-induced spatially localized dynamic fracture is also studied. The numerical results reproduce the main features of nonlinear surface acoustic waves and fracture observed in experiments.

Keywords: Brittle fracture; Nonlinear evolution; Peridynamics; Single crystal silicon; Surface acoustic wave.