Thermal diffusion of an unbounded solid with a spherical cavity via refined three-phase-lag Green-Naghdi models

被引：22

作者：

Zenkour, A. M. ^{[1
,2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Kafrelsheikh Univ, Fac Sci, Dept Math, Kafrelsheikh 33516, Egypt

来源：

INDIAN JOURNAL OF PHYSICS | 2022年 / 96卷 / 04期

关键词：

Green-Naghdi II and III; Thermal diffusion; Chemical potential; Spherical cavity; Multi-phase-lag; PHASE-LAGS THEORY; GENERALIZED THERMOELASTIC DIFFUSION; ORTHOTROPIC ELASTIC MEDIUM; THICK CIRCULAR PLATE; INFINITE MEDIUM; CYLINDRICAL CAVITY; MAGNETO-THERMOELASTICITY; ENERGY-DISSIPATION; WAVE-PROPAGATION; BODY;

D O I：

10.1007/s12648-021-02042-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This article deals with thermal diffusion vibration analysis in an unbounded medium including a spherical cavity. Multi single/dual-phase-lag models based upon the Green-Naghdi theory are obtained to discuss the thermoelastic diffusion of the spherical cavity. The surface of the cavity is traction and chemical potential free, not isolated, and subjected to a flux varying harmonically with time. A comparison of results is made, and the validity of results is acceptable. Benchmark outcomes are tabulated to aid other researchers in their future investigations.

引用

页码：1087 / 1104

页数：18

共 17 条

[1] Thermal diffusion of an unbounded solid with a spherical cavity via refined three-phase-lag Green–Naghdi models
A. M. Zenkour
[J]. Indian Journal of Physics, 2022, 96 : 1087 - 1104
[2] Modified three-phase-lag Green-Naghdi models for thermomechanical waves in an axisymmetric annular disk
Sobhy, Mohammed
Zenkour, Ashraf M.
[J]. JOURNAL OF THERMAL STRESSES, 2020, 43 (08) : 1017 - 1029
[3] Refined dual-phase-lag Green-Naghdi models for thermoelastic diffusion in an infinite medium
Kutbi, Marwan A.
Zenkour, Ashraf M.
[J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2022, 32 (02) : 947 - 967
[4] Thermoelastic Interaction in a Functionally Graded Medium Due to Refined Three-Phase-Lag Green-Naghdi Model under Gravitational Field
Purkait, Pallabi
Kanoria, Mridula
[J]. JOURNAL OF MULTISCALE MODELLING, 2023, 14 (04)
[5] Effect of three-phase-lag thermal and three-phase-lag diffusion models on waves at the boundary of elastic and thermoelastic diffusion medium
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Kumar, Manoj
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2024,
[6] Thermoelastic diffusion problem for a half-space due to a refined dual-phase-lag Green-Naghdi model
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[7] Thermoelastic diffusion of a solid cylinder in the context of modified Green-Naghdi models
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Zenkour, Ashraf M.
[J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2021,
[8] Thermo-diffusion of a thick circular plate via modified Green-Naghdi models
Zenkour, A. M.
[J]. ARCHIVES OF MECHANICS, 2020, 72 (03): : 235 - 256
[9] Thermoelastic diffusion problem for a half-space due to a refined dual-phase-lag Green-Naghdi model (vol 5, pg 214, 2019)
Doustdar, M. Mehdi
Kazemi, Hamid
[J]. JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2021, 6 (01) : 106 - 106
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[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2012, 33 (04) : 483 - 498

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