Formulas for the slowness of Stoneley waves with sliding contact

IF 1.1 4区 工程技术 Q3 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Archives of Mechanics Pub Date : 2020-09-23 DOI:10.24423/AOM.3612
P. Giang, P. C. Vinh, V. Anh
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引用次数: 1

Abstract

The main aim of this paper is to derive formulas for the slowness of Stoneley waves traveling along the sliding interface of two isotropic elastic half-spaces. These formulas have been obtained by employing the complex function method. From the derivation of them, it is shown that if a Stoneley wave exists, it is unique. Based on the obtained formulas, it is proved that a Stoneley wave is always possible for two isotropic elastic half-spaces with the same bulk wave velocities. This result leads to the fact that a Stoneley wave is always possible for two elastic half-spaces satisfying the Wiechert condition, a condition that plays an important role in acoustic analyses. The obtained formulas are of theoretical interest and they will be useful in practical applications, especially in nondestructive evaluations.
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具有滑动接触的斯通利波慢度公式
本文的主要目的是推导出沿两个各向同性弹性半空间滑动界面传播的斯通利波慢度的计算公式。这些公式是用复变函数法得到的。通过对它们的推导,证明了如果存在斯通利波,那么它是唯一的。根据所得公式,证明了具有相同体波速的两个各向同性弹性半空间总是可能存在斯通利波。这一结果导致两个满足Wiechert条件的弹性半空间总是可能存在斯通利波,这一条件在声学分析中起着重要作用。所得公式不仅具有理论意义,而且在实际应用中,特别是在无损评价中具有实用价值。
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
Archives of Mechanics
Archives of Mechanics 工程技术-材料科学:表征与测试
CiteScore
1.40
自引率
12.50%
发文量
0
审稿时长
>12 weeks
期刊介绍: Archives of Mechanics provides a forum for original research on mechanics of solids, fluids and discrete systems, including the development of mathematical methods for solving mechanical problems. The journal encompasses all aspects of the field, with the emphasis placed on: -mechanics of materials: elasticity, plasticity, time-dependent phenomena, phase transformation, damage, fracture; physical and experimental foundations, micromechanics, thermodynamics, instabilities; -methods and problems in continuum mechanics: general theory and novel applications, thermomechanics, structural analysis, porous media, contact problems; -dynamics of material systems; -fluid flows and interactions with solids. Papers published in the Archives should contain original contributions dealing with theoretical, experimental, or numerical aspects of mechanical problems listed above. The journal publishes also current announcements and information about important scientific events of possible interest to its readers, like conferences, congresses, symposia, work-shops, courses, etc. Occasionally, special issues of the journal may be devoted to publication of all or selected papers presented at international conferences or other scientific meetings. However, all papers intended for such an issue are subjected to the usual reviewing and acceptance procedure.
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