Abstract:
A dynamic problem of an infinite isotropic cylinder of radius r subjected to boundary conditions of the radial stress, temperature, or concentration of the diffusing substance is studied by using the equations of state of a elastothermodiffusive solid with one relaxation time and the Laplace transform technique. The distributions of the displacement, temperature, and concentration are displayed graphically and analytically.
Keywords:
cylindrical cavity, infinite space, diffusion, thermoelasticity, small time approximation.
Citation:
J. N. Sharma, N. Kumari, K. K. Sharma, “Diffusion in a generalized thermoelastic solid in an infinite body with a cylindrical cavity”, Prikl. Mekh. Tekh. Fiz., 54:5 (2013), 154–168; J. Appl. Mech. Tech. Phys., 54:5 (2013), 819–831
\Bibitem{ShaKumSha13}
\by J.~N.~Sharma, N.~Kumari, K.~K.~Sharma
\paper Diffusion in a generalized thermoelastic solid in an infinite body with a cylindrical cavity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 5
\pages 154--168
\mathnet{http://mi.mathnet.ru/pmtf1147}
\elib{https://elibrary.ru/item.asp?id=20653901}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 5
\pages 819--831
\crossref{https://doi.org/10.1134/S0021894413050155}
Linking options:
https://www.mathnet.ru/eng/pmtf1147
https://www.mathnet.ru/eng/pmtf/v54/i5/p154
This publication is cited in the following 8 articles:
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Faris S. Alzahrani, Ibrahim A. Abbas, “Eigenvalues approach on thermo-elastic diffusions problem for an infinite material containing spherical holes”, Waves in Random and Complex Media, 2022, 1
Aatef Hobiny, Ibrahim Abbas, “Generalized Thermo-Diffusion Interaction in an Elastic Medium under Temperature Dependent Diffusivity and Thermal Conductivity”, Mathematics, 10:15 (2022), 2773
A. G. Knyazeva, E. S. Parfenova, “Nonlinear coupled model of surface treatment by a particle beam taking into account the formation of a new phase”, J. Appl. Mech. Tech. Phys., 62:4 (2021), 633–641
Ashraf M. Zenkour, Daoud S. Mashat, Ashraf M. Allehaibi, “Thermoelastic Coupling Response of an Unbounded Solid with a Cylindrical Cavity Due to a Moving Heat Source”, Mathematics, 10:1 (2021), 9
Aatef D. Hobiny, Ibrahim A. Abbas, “Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model”, Mathematics, 9:21 (2021), 2782
Minjie Wen, Jinming Xu, Houren Xiong, “Thermo-hydro-mechanical dynamic response of a cylindrical lined tunnel in a poroelastic medium with fractional thermoelastic theory”, Soil Dynamics and Earthquake Engineering, 130 (2020), 105960
Ibrahim A. Abbas, “Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity”, Applied Mathematical Modelling, 39:20 (2015), 6196
Citation in format AMSBIB
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