{"title":"抛物面不规则性、不均匀性、初始应力和各向异性对爱波传播的影响","authors":"Ravinder Kumar, Abhilasha Saini","doi":"10.1134/S0025654424602854","DOIUrl":null,"url":null,"abstract":"<p>This study represents a comprehensive approach to propagation of Love waves in an initially stressed transversely isotropic fluid-saturated porous layer resting over a non-homogeneous half-space with irregularity at the interface. The irregularity has been taken in the form of a parabola and the displacement field in porous layer is obtained by using perturbation method. The dispersion equation has been derived for the considered model by using Biot’s theory of elasticity. Numerical simulated results have been plotted graphically with the help of MATLAB for different values of inhomogeneity parameter, anisotropic factor and initial stress and it has been observed that the phase velocity of the Love wave is influenced by various parameters such as the ratio of the depth of the irregularity to the width of the medium, wave number, initial stress, anisotropy factor and the shape of the irregularity. The findings of this study hold relevance in various fields, including materials science, geophysics and structural engineering.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 3","pages":"1443 - 1458"},"PeriodicalIF":0.6000,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Influence of Parabolic Irregularity, Inhomogeneity, Initial Stress, and Anisotropy on Love Wave Propagation\",\"authors\":\"Ravinder Kumar, Abhilasha Saini\",\"doi\":\"10.1134/S0025654424602854\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This study represents a comprehensive approach to propagation of Love waves in an initially stressed transversely isotropic fluid-saturated porous layer resting over a non-homogeneous half-space with irregularity at the interface. The irregularity has been taken in the form of a parabola and the displacement field in porous layer is obtained by using perturbation method. The dispersion equation has been derived for the considered model by using Biot’s theory of elasticity. Numerical simulated results have been plotted graphically with the help of MATLAB for different values of inhomogeneity parameter, anisotropic factor and initial stress and it has been observed that the phase velocity of the Love wave is influenced by various parameters such as the ratio of the depth of the irregularity to the width of the medium, wave number, initial stress, anisotropy factor and the shape of the irregularity. The findings of this study hold relevance in various fields, including materials science, geophysics and structural engineering.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":\"59 3\",\"pages\":\"1443 - 1458\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0025654424602854\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424602854","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Influence of Parabolic Irregularity, Inhomogeneity, Initial Stress, and Anisotropy on Love Wave Propagation
This study represents a comprehensive approach to propagation of Love waves in an initially stressed transversely isotropic fluid-saturated porous layer resting over a non-homogeneous half-space with irregularity at the interface. The irregularity has been taken in the form of a parabola and the displacement field in porous layer is obtained by using perturbation method. The dispersion equation has been derived for the considered model by using Biot’s theory of elasticity. Numerical simulated results have been plotted graphically with the help of MATLAB for different values of inhomogeneity parameter, anisotropic factor and initial stress and it has been observed that the phase velocity of the Love wave is influenced by various parameters such as the ratio of the depth of the irregularity to the width of the medium, wave number, initial stress, anisotropy factor and the shape of the irregularity. The findings of this study hold relevance in various fields, including materials science, geophysics and structural engineering.
期刊介绍:
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.