Effect of initial stress and inhomogeneity on the Love wave propagation in an inhomogeneous composite structure

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-04-26 DOI:10.1007/s00707-025-04324-7

Dinesh Kumar Majhi, Manish Kumar, Bhanu Pratap Rajak, Sumit Kumar Vishwakarma

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引用次数: 0

Abstract

The purpose of the present paper is to discuss Love wave transmission on an inhomogeneous composite medium to illustrate the influence of inhomogeneity and pre-stresses on the velocity of the wave. The present model has been composed of a homogeneous elastic medium bounded by initially stressed inhomogeneous half-spaces with linearly varying properties in rigidity and density. The equations of coupled fields have been solved analytically with the help of Whittaker’s equation. The dispersion relation of the stated problem is secured by using the continuity assumptions. In order to compute phase velocity, mathematical data for composed half-spaces and layers have been used. These analytical studies on Love waves yield three main results: (1) The phase velocity decreases with increasing wave number. (2) The ascending of initial stresses related to lower and upper half-spaces on the composite enhances the wave velocity. (3) Also, phase velocity accelerates rapidly with ascending values of rigidity heterogeneity parameter.

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初始应力和非均匀性对非均匀复合材料结构中Love波传播的影响

本文的目的是讨论Love波在非均匀复合介质上的传播，以说明非均匀性和预应力对波速度的影响。该模型由一种均匀弹性介质组成，该介质由具有刚度和密度线性变化特性的初始应力非均匀半空间所包围。利用惠特克方程对耦合场方程进行了解析求解。利用连续性假设确定了所述问题的色散关系。为了计算相速度，使用了组成半空间和层的数学数据。这些对Love波的分析研究得到了三个主要结果：(1)相速度随波数的增加而减小。(2)复合材料上下半空间的初始应力增大，波速增大。(3)随着刚度非均质参数的增大，相速度加快。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.