Coupled wave propagation in meso-scale heterogeneous medium

LU Jianhua; YUAN Liangzhu; XIE Yushan; CHEN Meiduo; WANG Pengfei; XU Songlin

doi:10.11883/bzycj-2023-0438

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LU Jianhua, YUAN Liangzhu, XIE Yushan, CHEN Meiduo, WANG Pengfei, XU Songlin. Coupled wave propagation in meso-scale heterogeneous medium[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0438

Citation:

LU Jianhua, YUAN Liangzhu, XIE Yushan, CHEN Meiduo, WANG Pengfei, XU Songlin. Coupled wave propagation in meso-scale heterogeneous medium[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0438

LU Jianhua, YUAN Liangzhu, XIE Yushan, CHEN Meiduo, WANG Pengfei, XU Songlin. Coupled wave propagation in meso-scale heterogeneous medium[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0438

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Coupled wave propagation in meso-scale heterogeneous medium

doi: 10.11883/bzycj-2023-0438

1.
CAS Key Laboratory for Mechanical Behavior and Design of Materials, University of Science and Technology of China, Hefei 230027, Anhui, China
2.
United Laboratory of High-Pressure Physics and Earthquake Science, Institute of Earthquake Forecasting, China Earthquake Administration, Beijing 100036, China

Received Date: 2023-12-12
Rev Recd Date: 2024-02-29

Available Online: 2024-03-12

Abstract

Abstract

Heterogeneous media is very common in nature. Due to the complex internal structure, the heterogeneous compressive shear coupled stress field is inside heterogeneous media, which leads to the mutual influence of compression waves and shear waves. The study of wave mechanics behavior and description of heterogeneity in heterogeneous media is of great significance and full of challenges. This article established a general constitutive relationship that reflected the compression shear coupling characteristics of heterogeneous materials, proposed coupling coefficients to describe material heterogeneity, combined momentum conservation law to establish a generalized wave equation, and provided a general method for solving the generalized wave equation. As an example, expressions for the three characteristic wave velocities of compression shear coupling under the first-order compression shear coupling constitutive relationship were provided, and the finite difference method was employed to obtain the propagation process of coupled compression waves and shear waves. The effects of four heterogeneous coupling coefficients on stress state, coupled wave velocity, and wave propagation process were studied. The positive and negative values, as well as the combination of coupling parameters, reflected the structural characteristics of heterogeneous media and also determined the properties of compression shear coupling waves. For heterogeneous media with high-pressure effects, shear dilation effects, and shear weakening effects, the coupled compression wave velocity was lower than the elastic compression wave velocity corresponding to uniform media, and the coupled shear wave velocity was higher than the elastic shear wave velocity. The effect of shear on compression delayed the propagation of compressive stress, while compression promoted the propagation of shear. Coupled compression wave velocity was the result of the competition between the coupling effect of shear on compression and the volume compaction effect. Coupled shear wave velocity was the competition between the coupling effect of compression on shear and the shear weakening effect caused by continuous distortion of the medium. These mechanisms could be achieved through different combinations of compression shear coupling parameters. The true triaxial experimental testing system was used to measure the longitudinal wave velocity of granite, model materials made of mortar, and materials made of cement mortar with coarse aggregates under different compressive and shear stresses. The results indicated that for heterogeneous media, the longitudinal wave velocity decreased with the increase of static water pressure and equivalent shear stress, and the shear expansion effect and shear weakening effect dominated. The experimental results and theoretical results had the same trend. The conclusion of this study was expected to provide a physical mechanism explanation for the phenomenon of the variation of wave velocity with stress state in heterogeneous materials.
- heterogeneity,
- compression-shear coupling effect,
- generalized wave equation,
- constitutive relationship,
- wave velocity

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References(40)

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