{"title":"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","authors":"Dinesh Kumar Majhi, Manish Kumar, Bhanu Pratap Rajak, Sumit Kumar Vishwakarma","doi":"10.1007/s00707-025-04324-7","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3281 - 3294"},"PeriodicalIF":2.3000,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effect of initial stress and inhomogeneity on the Love wave propagation in an inhomogeneous composite structure\",\"authors\":\"Dinesh Kumar Majhi, Manish Kumar, Bhanu Pratap Rajak, Sumit Kumar Vishwakarma\",\"doi\":\"10.1007/s00707-025-04324-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>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.</p></div>\",\"PeriodicalId\":456,\"journal\":{\"name\":\"Acta Mechanica\",\"volume\":\"236 5\",\"pages\":\"3281 - 3294\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2025-04-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00707-025-04324-7\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-025-04324-7","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Effect of initial stress and inhomogeneity on the Love wave propagation in an inhomogeneous composite structure
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.
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.
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