{"title":"用三相滞后热弹性理论研究平面波在非局部多孔各向同性中的传播","authors":"Sumaira Zaman, Ehtsham Azhar, Hashmat Ali","doi":"10.1007/s00419-025-02911-7","DOIUrl":null,"url":null,"abstract":"<div><p>The three phase lag (TPL) thermoelasticity theory has been employed in this work to investigate wave propagation in a nonlocal porous medium. The governing wave-type equations are transformed into a homogeneous algebraic system, leading to non-trivial solutions that reveal the dispersion relation linked to propagation speed. From this dispersion relation, three coupled longitudinal waves (P waves, T waves, and V waves) and one transverse wave (SV-wave) are identified. The propagation speed is then plotted graphically. The effects of nonlocality, the heat flux relaxation time parameter and porosity are examined. In addition, the propagation speeds for the TPL and DPL models are examined. The influence of three phase lag (TPL) is investigated and presented via graphical representations. The already existed results in the literature are obtained by neglecting the porosity (void) parameter in the isotropic solid.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2025-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Propagation of plane waves through nonlocal porous isotropic with three phase lag thermoelasticity theory\",\"authors\":\"Sumaira Zaman, Ehtsham Azhar, Hashmat Ali\",\"doi\":\"10.1007/s00419-025-02911-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The three phase lag (TPL) thermoelasticity theory has been employed in this work to investigate wave propagation in a nonlocal porous medium. The governing wave-type equations are transformed into a homogeneous algebraic system, leading to non-trivial solutions that reveal the dispersion relation linked to propagation speed. From this dispersion relation, three coupled longitudinal waves (P waves, T waves, and V waves) and one transverse wave (SV-wave) are identified. The propagation speed is then plotted graphically. The effects of nonlocality, the heat flux relaxation time parameter and porosity are examined. In addition, the propagation speeds for the TPL and DPL models are examined. The influence of three phase lag (TPL) is investigated and presented via graphical representations. The already existed results in the literature are obtained by neglecting the porosity (void) parameter in the isotropic solid.</p></div>\",\"PeriodicalId\":477,\"journal\":{\"name\":\"Archive of Applied Mechanics\",\"volume\":\"95 8\",\"pages\":\"\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-08-07\",\"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/s00419-025-02911-7\",\"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":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-025-02911-7","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Propagation of plane waves through nonlocal porous isotropic with three phase lag thermoelasticity theory
The three phase lag (TPL) thermoelasticity theory has been employed in this work to investigate wave propagation in a nonlocal porous medium. The governing wave-type equations are transformed into a homogeneous algebraic system, leading to non-trivial solutions that reveal the dispersion relation linked to propagation speed. From this dispersion relation, three coupled longitudinal waves (P waves, T waves, and V waves) and one transverse wave (SV-wave) are identified. The propagation speed is then plotted graphically. The effects of nonlocality, the heat flux relaxation time parameter and porosity are examined. In addition, the propagation speeds for the TPL and DPL models are examined. The influence of three phase lag (TPL) is investigated and presented via graphical representations. The already existed results in the literature are obtained by neglecting the porosity (void) parameter in the isotropic solid.
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.