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Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums
This paper investigates the intricate energy distribution patterns emerging at an orthotropic piezothermoelastic half-space interface by considering the influence of a higher-order three-phase lags heat conduction law, accompanied by memory-dependent derivatives (referred to as HPS) within the under...
Autores principales: | , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10567774/ https://www.ncbi.nlm.nih.gov/pubmed/37821492 http://dx.doi.org/10.1038/s41598-023-44339-5 |
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author | Barak, M. S. Ahmad, Hijaz Kumar, Rajesh Kumar, Rajneesh Gupta, Vipin Awwad, Fuad A. Ismail, Emad A. A. |
author_facet | Barak, M. S. Ahmad, Hijaz Kumar, Rajesh Kumar, Rajneesh Gupta, Vipin Awwad, Fuad A. Ismail, Emad A. A. |
author_sort | Barak, M. S. |
collection | PubMed |
description | This paper investigates the intricate energy distribution patterns emerging at an orthotropic piezothermoelastic half-space interface by considering the influence of a higher-order three-phase lags heat conduction law, accompanied by memory-dependent derivatives (referred to as HPS) within the underlying thermoelastic half-space (referred to as TS). This study explores the amplitude and energy ratios of reflected and transmitted waves. These waves span various incident types, including longitudinal, thermal, and transversal, as they propagate through the TS and interact at the interface. Upon encountering the interface, an intriguing dynamic unfolds: three waves experience reflection within the TS medium, while four waves undergo transmission into the HPS medium. A graphical representation effectively illustrates the impact of higher-order time differential parameters and memory to offer comprehensive insights. This visual representation reveals the nuanced fluctuations of energy ratios with the incidence angle. The model astutely captures diverse scenarios, showcasing its ability to interpret complex interface dynamics. |
format | Online Article Text |
id | pubmed-10567774 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-105677742023-10-13 Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums Barak, M. S. Ahmad, Hijaz Kumar, Rajesh Kumar, Rajneesh Gupta, Vipin Awwad, Fuad A. Ismail, Emad A. A. Sci Rep Article This paper investigates the intricate energy distribution patterns emerging at an orthotropic piezothermoelastic half-space interface by considering the influence of a higher-order three-phase lags heat conduction law, accompanied by memory-dependent derivatives (referred to as HPS) within the underlying thermoelastic half-space (referred to as TS). This study explores the amplitude and energy ratios of reflected and transmitted waves. These waves span various incident types, including longitudinal, thermal, and transversal, as they propagate through the TS and interact at the interface. Upon encountering the interface, an intriguing dynamic unfolds: three waves experience reflection within the TS medium, while four waves undergo transmission into the HPS medium. A graphical representation effectively illustrates the impact of higher-order time differential parameters and memory to offer comprehensive insights. This visual representation reveals the nuanced fluctuations of energy ratios with the incidence angle. The model astutely captures diverse scenarios, showcasing its ability to interpret complex interface dynamics. Nature Publishing Group UK 2023-10-11 /pmc/articles/PMC10567774/ /pubmed/37821492 http://dx.doi.org/10.1038/s41598-023-44339-5 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Barak, M. S. Ahmad, Hijaz Kumar, Rajesh Kumar, Rajneesh Gupta, Vipin Awwad, Fuad A. Ismail, Emad A. A. Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums |
title | Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums |
title_full | Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums |
title_fullStr | Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums |
title_full_unstemmed | Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums |
title_short | Behavior of higher-order MDD on energy ratios at the interface of thermoelastic and piezothermoelastic mediums |
title_sort | behavior of higher-order mdd on energy ratios at the interface of thermoelastic and piezothermoelastic mediums |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10567774/ https://www.ncbi.nlm.nih.gov/pubmed/37821492 http://dx.doi.org/10.1038/s41598-023-44339-5 |
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