Refined Dual-Phase-Lag Theory for the 1D Behavior of Skin Tissue under Ramp-Type Heating.

bio-thermal ramp-type heating refined DPL theory skin tissue

Journal

Materials (Basel, Switzerland)
ISSN: 1996-1944
Titre abrégé: Materials (Basel)
Pays: Switzerland
ID NLM: 101555929

Informations de publication

Date de publication:
17 Mar 2023
Historique:
received: 14 02 2023
revised: 15 03 2023
accepted: 15 03 2023
medline: 30 3 2023
entrez: 29 3 2023
pubmed: 30 3 2023
Statut: epublish

Résumé

In this article, a mathematical analysis of thermoelastic skin tissue is presented based on a refined dual-phase-lag (DPL) thermal conduction theory that considers accounting for the effect of multiple time derivatives. The thin skin tissue is regarded as having mechanically clamped surfaces that are one-dimensional. Additionally, the skin tissue undergoes ramp-type heating on its outer surface, whereas its inner surface keeps the assessed temperature from vanishing. Some of the previous generalized thermoelasticity theories were obtained from the proposed model. The distributions of temperature, displacement, dilatation, and stress are attained by applying the Laplace transform and its numerical reversal approaches. The outcomes are explicitly illustrated to examine the significant influences on the distributions of the field variables. The refined DPL bioheat conduction model in this study predicts temperature, and the findings revealed that the model is located among the existing generalized thermoelastic theories. These findings offer a more thorough understanding of how skin tissue behaves when exposed to a particular boundary condition temperature distribution.

Identifiants

pubmed: 36984301
pii: ma16062421
doi: 10.3390/ma16062421
pmc: PMC10055763
pii:
doi:

Types de publication

Journal Article

Langues

eng

Subventions

Organisme : King Abdulaziz University
ID : KEP-MSc: 32-130-1443

Déclaration de conflit d'intérêts

The authors declare no conflicts of interest and the funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.

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Auteurs

Ashraf M Zenkour (AM)

Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt.

Tareq Saeed (T)

Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

Amal M Aati (AM)

Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Department of Mathematics, College of Science and Arts and Applied College Branch in Rijal Alma'a, King Khalid University, Abha 61411, Saudi Arabia.

Classifications MeSH