{"title":"The effect of composite material on Rayleigh wave at free surface of composite matrix saturated by fluids.","authors":"A. Arora, N. Bala","doi":"10.1051/mmnp/2022025","DOIUrl":null,"url":null,"abstract":"The present study signifies the effect of distinct solids on the phase speed and attenuation of Rayleigh surface wave propagating on the boundary of composite porous matrix saturated with fluids. Secular equation depicting propagation of Rayleigh wave is obtained and solved numerically for obtaining phase speed and attenuation coefficient. Two different types of composite materials are considered for numerical study to analyze the effect of solids present in the structure. The study depicts that increase in rigidity of the composite increases the phase speed of the Rayleigh surface wave. Significant effect of the density and bulk modulus of fluid mixture present in the pores is also observed on the phase speed of the wave. The effect of porosity on the phase speed of the Rayleigh wave and the particle motion during the propagation of the wave is also analyzed.","PeriodicalId":18285,"journal":{"name":"Mathematical Modelling of Natural Phenomena","volume":" ","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Modelling of Natural Phenomena","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1051/mmnp/2022025","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICAL & COMPUTATIONAL BIOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
The present study signifies the effect of distinct solids on the phase speed and attenuation of Rayleigh surface wave propagating on the boundary of composite porous matrix saturated with fluids. Secular equation depicting propagation of Rayleigh wave is obtained and solved numerically for obtaining phase speed and attenuation coefficient. Two different types of composite materials are considered for numerical study to analyze the effect of solids present in the structure. The study depicts that increase in rigidity of the composite increases the phase speed of the Rayleigh surface wave. Significant effect of the density and bulk modulus of fluid mixture present in the pores is also observed on the phase speed of the wave. The effect of porosity on the phase speed of the Rayleigh wave and the particle motion during the propagation of the wave is also analyzed.
期刊介绍:
The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues.
Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.