Wave propagation in context of Moore–Gibson–Thompson thermoelasticity with Klein–Gordon nonlocality
Understanding plane and surface waves in elastic materials is crucial in various fields, including geophysics, seismology, and materials science, as they provide valuable information about the properties of the materials they travel through and can help in earthquake detection and analysis. In the...
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Publishing House for Science and Technology
2024-06-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/19728 |
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| author | Baljeet Singh |
| author_facet | Baljeet Singh |
| author_sort | Baljeet Singh |
| collection | DOAJ |
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Understanding plane and surface waves in elastic materials is crucial in various fields, including geophysics, seismology, and materials science, as they provide valuable information about the properties of the materials they travel through and can help in earthquake detection and analysis. In the present paper, the governing equations of Moore–Gibson–Thompson (MGT) thermoelasticity are modified in context of Klein–Gordon (KG) nonlocality. For linear, homogeneous and isotropic case, the governing equations in two-dimensions are solved to obtain the dispersion relations for possible plane waves. It is found that there exists one transverse and two coupled longitudinal waves in a two-dimensional model of MGT weakly nonlocal thermoelastic medium and the speeds of these plane waves are found to be dependent on KG nonlocal parameters. The coupled longitudinal waves are also found to be dependent on conductivity rate parameter. For linear, homogeneous and isotropic case, the governing equations in two-dimensions are also solved to obtain a Rayleigh wave secular equation at thermally insulated surface. For a numerical example of aluminium material, the speeds of transverse wave, coupled longitudinal waves and the Rayleigh wave are computed and graphically illustrated to visualize the effects of KG nonlocality parameters, conductivity rate parameter and the angular frequency on the wave speeds.
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| format | Article |
| id | doaj-art-9036bbe394ae4da5a29bee674e43adb1 |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-9036bbe394ae4da5a29bee674e43adb12025-08-20T02:54:58ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822024-06-0146210.15625/0866-7136/19728Wave propagation in context of Moore–Gibson–Thompson thermoelasticity with Klein–Gordon nonlocalityBaljeet Singh0https://orcid.org/0000-0001-8706-6309Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh, 160011, India Understanding plane and surface waves in elastic materials is crucial in various fields, including geophysics, seismology, and materials science, as they provide valuable information about the properties of the materials they travel through and can help in earthquake detection and analysis. In the present paper, the governing equations of Moore–Gibson–Thompson (MGT) thermoelasticity are modified in context of Klein–Gordon (KG) nonlocality. For linear, homogeneous and isotropic case, the governing equations in two-dimensions are solved to obtain the dispersion relations for possible plane waves. It is found that there exists one transverse and two coupled longitudinal waves in a two-dimensional model of MGT weakly nonlocal thermoelastic medium and the speeds of these plane waves are found to be dependent on KG nonlocal parameters. The coupled longitudinal waves are also found to be dependent on conductivity rate parameter. For linear, homogeneous and isotropic case, the governing equations in two-dimensions are also solved to obtain a Rayleigh wave secular equation at thermally insulated surface. For a numerical example of aluminium material, the speeds of transverse wave, coupled longitudinal waves and the Rayleigh wave are computed and graphically illustrated to visualize the effects of KG nonlocality parameters, conductivity rate parameter and the angular frequency on the wave speeds. https://vjs.ac.vn/index.php/vjmech/article/view/19728plane wavesRayleigh waveMoore–Gibson–Thompson thermoelasticitysecular equationwave speednonlocality parameters |
| spellingShingle | Baljeet Singh Wave propagation in context of Moore–Gibson–Thompson thermoelasticity with Klein–Gordon nonlocality Vietnam Journal of Mechanics plane waves Rayleigh wave Moore–Gibson–Thompson thermoelasticity secular equation wave speed nonlocality parameters |
| title | Wave propagation in context of Moore–Gibson–Thompson thermoelasticity with Klein–Gordon nonlocality |
| title_full | Wave propagation in context of Moore–Gibson–Thompson thermoelasticity with Klein–Gordon nonlocality |
| title_fullStr | Wave propagation in context of Moore–Gibson–Thompson thermoelasticity with Klein–Gordon nonlocality |
| title_full_unstemmed | Wave propagation in context of Moore–Gibson–Thompson thermoelasticity with Klein–Gordon nonlocality |
| title_short | Wave propagation in context of Moore–Gibson–Thompson thermoelasticity with Klein–Gordon nonlocality |
| title_sort | wave propagation in context of moore gibson thompson thermoelasticity with klein gordon nonlocality |
| topic | plane waves Rayleigh wave Moore–Gibson–Thompson thermoelasticity secular equation wave speed nonlocality parameters |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/19728 |
| work_keys_str_mv | AT baljeetsingh wavepropagationincontextofmooregibsonthompsonthermoelasticitywithkleingordonnonlocality |