Amara Zaheer, Hashmat Ali, Ehtsham Azhar, Muhammad Jamal
{"title":"Application of Moore Gibson–Thompson effects on wave propagation and reflection in nonlocal solid medium","authors":"Amara Zaheer, Hashmat Ali, Ehtsham Azhar, Muhammad Jamal","doi":"10.1007/s00419-025-02784-w","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, the wave propagation and reflection are studied in nonlocal solid under the impact of Moore Gibson–Thompson model. The governing equations are Helmholtzed and converted into the homogeneous algebraic system of equations. The algebraic equations have non-trivial solutions that can provide the dispersion relation associated with propagation speed. Two coupled longitudinal waves (P-waves and T-waves) and one transverse wave (SV-wave) can be obtained from the dispersion relation. In this case, the ratios of the amplitudes of the reflected waves are calculated analytically by imposing a given set of appropriate boundary conditions. The amplitude ratio and propagation speed are also plotted graphically. The influence of nonlocality and thermal relaxation time parameter on the gained results is examined and visualized through graphical representations. Optimal results are obtained by neglecting the thermal relaxation time parameter.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 3","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-025-02784-w","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the wave propagation and reflection are studied in nonlocal solid under the impact of Moore Gibson–Thompson model. The governing equations are Helmholtzed and converted into the homogeneous algebraic system of equations. The algebraic equations have non-trivial solutions that can provide the dispersion relation associated with propagation speed. Two coupled longitudinal waves (P-waves and T-waves) and one transverse wave (SV-wave) can be obtained from the dispersion relation. In this case, the ratios of the amplitudes of the reflected waves are calculated analytically by imposing a given set of appropriate boundary conditions. The amplitude ratio and propagation speed are also plotted graphically. The influence of nonlocality and thermal relaxation time parameter on the gained results is examined and visualized through graphical representations. Optimal results are obtained by neglecting the thermal relaxation time parameter.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.