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基于多时间导数热弹性理论的含球形孔无界介质中的磁热弹性响应

Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories.

作者信息

Zenkour Ashraf M, Mashat Daoud S, Allehaibi Ashraf M

机构信息

Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.

Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt.

出版信息

Materials (Basel). 2022 Mar 25;15(7):2432. doi: 10.3390/ma15072432.

DOI:10.3390/ma15072432
PMID:35407764
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8999892/
Abstract

This article introduces magneto-thermoelastic exchanges in an unbounded medium with a spherical cavity. A refined multi-time-derivative dual-phase-lag thermoelasticity model is applied for this reason. The surface of the spherical hole is considered traction-free and under both constant heating and external magnetic field. A generalized magneto-thermoelastic coupled solution is developed utilizing Laplace's transform. The field variables are shown graphically and examined to demonstrate the impacts of the magnetic field, phase-lags, and other parameters on the field quantities. The present theory is examined to assess its validity including comparison with the existing literature.

摘要

本文介绍了具有球形空腔的无界介质中的磁热弹性相互作用。因此应用了一种改进的多时间导数双相滞后热弹性模型。球形孔的表面被认为是无牵引力的，并且处于恒定加热和外部磁场作用之下。利用拉普拉斯变换得到了广义磁热弹性耦合解。以图形方式展示并研究了场变量，以证明磁场、相位滞后和其他参数对场量的影响。对当前理论进行了检验以评估其有效性，包括与现有文献进行比较。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/c2b716c90a96/materials-15-02432-g011.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/c2b716c90a96/materials-15-02432-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/213d01749655/materials-15-02432-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/4ee0af9a4b08/materials-15-02432-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/991afc01442e/materials-15-02432-g003.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/7f05b2b7ac74/materials-15-02432-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/0b83569bfdf7/materials-15-02432-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/ce930294a32d/materials-15-02432-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/6269c3ea54bb/materials-15-02432-g008.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/c3a4893f221a/materials-15-02432-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e86e/8999892/c2b716c90a96/materials-15-02432-g011.jpg

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