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Mechanics Based Design of Structures and Machines
An International Journal
Volume 50, 2022 - Issue 3
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Articles

Generalized thermoelastic-diffusion model with higher-order fractional time-derivatives and four-phase-lags

Ahmed E. Abouelregala Faculty of Science, Department of Mathematics, Mansoura University, Mansoura, Egypt;b Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi ArabiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-3363-7924
ORCID Icon,
Mohammed A. Elhagaryb Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia;c Faculty of Science, Department of Mathematics, Damietta University, New Damietta, EgyptORCID Iconhttps://orcid.org/0000-0003-2581-146X
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Amr Soleimanb Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia;d Faculty of Science, Department of Mathematics, Benha University, Benha, Egypt
&
Khalil M. Khalilb Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia;d Faculty of Science, Department of Mathematics, Benha University, Benha, EgyptORCID Iconhttps://orcid.org/0000-0001-6732-1907
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Pages 897-914 | Received 21 Sep 2019, Accepted 11 Feb 2020, Published online: 24 Feb 2020

Citations (27)

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Read on this site (14)

Md Abul Kashim Molla & Sadek Hossain Mallik. (2023) Time-nonlocal six-phase-lag generalized theory of thermoelastic diffusion. Mechanics Based Design of Structures and Machines 51:11, pages 6123-6141.
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Hashmat Ali, Aarouj Ahmed, Iftikhar Ahmed, Adnan Jahangir & Ehtsham Azhar. (2023) Nonlocal theory of propagation and reflection of plane waves in higher order thermo diffusive semiconducting medium. Journal of Thermal Stresses 46:10, pages 1022-1044.
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Yi Peng, Xue-Yang Zhang & Xian-Fang Li. (2023) Effect of phase lags of moisture–heat flow on the hygrothermoelastic field of hollow cylinders with convective surfaces. Mechanics Based Design of Structures and Machines 51:6, pages 3004-3025.
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Md Abul Kashim Molla & Sadek Hossain Mallik. (2023) Variational principle, uniqueness and reciprocity theorems for higher order time-fractional four-phase-lag generalized thermoelastic diffusion model. Mechanics Based Design of Structures and Machines 51:4, pages 1904-1919.
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Shishir Gupta, Soumik Das & Rachaita Dutta. (2023) Peltier and Seebeck effects on a nonlocal couple stress double porous thermoelastic diffusive material under memory-dependent Moore-Gibson-Thompson theory. Mechanics of Advanced Materials and Structures 30:3, pages 449-472.
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Bingdong Gu, Shuanhu Shi, Yongbin Ma & Tianhu He. (2022) Thermoelastic damping analysis in nanobeam resonators considering thermal relaxation and surface effect based on the nonlocal strain gradient theory. Journal of Thermal Stresses 45:12, pages 974-992.
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Ahmed E. Abouelregal, Alanazi Rayan & Doaa M. Mostafa. (2022) Transient responses to an infinite solid with a spherical cavity according to the MGT thermo-diffusion model with fractional derivatives without nonsingular kernels. Waves in Random and Complex Media 0:0, pages 1-29.
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Abhik Sur. (2022) A memory response on the elasto-thermodiffusive interaction subjected to rectangular thermal pulse and chemical shock. Mechanics Based Design of Structures and Machines 50:6, pages 2102-2123.
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Aatef D. Hobiny. (2022) Effects of porosity and thermal relaxation time in a poro-thermoelastic material by hybrid finite element method. Mechanics Based Design of Structures and Machines 50:5, pages 1778-1792.
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Geetanjali Geetanjali, Ankit Bajpai & Pawan Kumar Sharma. (2022) Impact of variable thermal conductivity and diffusivity on two temperature fractional thermodiffusive elastic half space with dual phase lags. Waves in Random and Complex Media 0:0, pages 1-23.
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Faris S. Alzahrani & Ibrahim A. Abbas. (2022) Eigenvalues approach on thermo-elastic diffusions problem for an infinite material containing spherical holes. Waves in Random and Complex Media 0:0, pages 1-13.
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Ahmed E. Abouelregal, Hakan Ersoy & Ömer Civalek. (2021) A new heat conduction model for viscoelastic micro beams considering the magnetic field and thermal effects. Waves in Random and Complex Media 0:0, pages 1-30.
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P. K. Sharma, Ankit Bajpai & Rajneesh Kumar. (2021) Analysis of two temperature thermoelastic diffusion plate with variable thermal conductivity and diffusivity. Waves in Random and Complex Media 0:0, pages 1-19.
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Ankit Bajpai & P. K. Sharma. (2021) Variable thermal conductivity and diffusivity impact on forced vibrations of thermodiffusive elastic plate. Journal of Thermal Stresses 44:9, pages 1169-1190.
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Articles from other publishers (13)

Doaa Atta, Ahmed E. Abouelregal, Hamid M. Sedighi & Rasmiyah A. Alharb. (2023) Thermodiffusion interactions in a homogeneous spherical shell based on the modified Moore–Gibson–Thompson theory with two time delays. Mechanics of Time-Dependent Materials.
Crossref
Aatef Hobiny & Ibrahim Abbas. (2022) Generalized Thermo-Diffusion Interaction in an Elastic Medium under Temperature Dependent Diffusivity and Thermal Conductivity. Mathematics 10:15, pages 2773.
Crossref
Khalil M. Khalil, Ahmed E. Abouelregal & Doaa Atta. (2022) A new fractional viscoelastic model for an infinitely thermoelastic body with a spherical cavity including Caputo-Fabrizio operator without singular kernel. Chinese Journal of Physics 77, pages 1450-1464.
Crossref
Ahmed E. Abouelregal, Hamid M. Sedighi & Ali H. Shirazi. (2021) The Effect of Excess Carrier on a Semiconducting Semi-Infinite Medium Subject to a Normal Force by Means of Green and Naghdi Approach. Silicon 14:9, pages 4955-4967.
Crossref
M. E. Nasr & Ahmed E. Abouelregal. (2022) Light absorption process in a semiconductor infinite body with a cylindrical cavity via a novel photo-thermoelastic MGT model. Archive of Applied Mechanics 92:5, pages 1529-1549.
Crossref
S.A. Davydov & A.V. Zemskov. (2022) Thermoelastic diffusion phase-lag model for a layer with internal heat and mass sources. International Journal of Heat and Mass Transfer 183, pages 122213.
Crossref
Qiao Zhang, Yuxin Sun & Jialing Yang. (2021) Thermoelastic responses of biological tissue under thermal shock based on three phase lag model. Case Studies in Thermal Engineering 28, pages 101376.
Crossref
Aatef D. Hobiny & Ibrahim A. Abbas. (2021) Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model. Mathematics 9:21, pages 2782.
Crossref
Ankit Bajpai, P. K. Sharma & Rajneesh Kumar. (2021) Modeling of thermoelastic diffusion plate under two temperature, fractional‐order, and temperature‐dependent material properties. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 101:10.
Crossref
Ankit Bajpai, P. K. Sharma & Rajneesh Kumar. (2021) Transient response of a thermo-diffusive elastic thick circular plate with variable conductivity and diffusivity. Acta Mechanica 232:9, pages 3343-3361.
Crossref
Ahmed E. Abouelregal & Hamid M. Sedighi. (2021) A new insight into the interaction of thermoelasticity with mass diffusion for a half-space in the context of Moore–Gibson–Thompson thermodiffusion theory. Applied Physics A 127:8.
Crossref
Ahmed E. Abouelregal, Hakan Ersoy & Ömer Civalek. (2021) Solution of Moore–Gibson–Thompson Equation of an Unbounded Medium with a Cylindrical Hole. Mathematics 9:13, pages 1536.
Crossref
A. Soleiman, Ahmed E. Abouelregal, K. M. Khalil & M. E. Nasr. (2020) Generalized thermoviscoelastic novel model with different fractional derivatives and multi-phase-lags. The European Physical Journal Plus 135:10.
Crossref

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