Dynamic analysis to the fractional order thermoelastic diffusion problem of an infinite body with a spherical cavity and variable material properties

Journal of Thermal Stresses ◽

10.1080/01495739.2019.1676681 ◽

2019 ◽

Vol 43 (1) ◽

pp. 38-54

Author(s):

Wei Peng ◽

Yongbin Ma ◽

Chenlin Li ◽

Tianhu He

Keyword(s):

Dynamic Analysis ◽

Fractional Order ◽

Material Properties ◽

Spherical Cavity ◽

Diffusion Problem ◽

Infinite Body ◽

Thermoelastic Diffusion

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Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.01.065 ◽

2015 ◽

Vol 39 (20) ◽

pp. 6196-6206 ◽

Author(s):

Ibrahim A. Abbas

Keyword(s):

Elastic Medium ◽

Fractional Order ◽

Spherical Cavity ◽

Order Theory ◽

Diffusion Problem ◽

Eigenvalue Approach ◽

Thermoelastic Diffusion

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Magneto-thermoelasticity for an infinite body with a spherical cavity and variable material properties without energy dissipation

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2010.04.021 ◽

2010 ◽

Vol 47 (20) ◽

pp. 2631-2638 ◽

Author(s):

Mohmed N. Allam ◽

Khaled A. Elsibai ◽

Ahmed E. Abouelregal

Keyword(s):

Energy Dissipation ◽

Material Properties ◽

Spherical Cavity ◽

Infinite Body ◽

Without Energy Dissipation

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Electromagneto-thermoelastic diffusive plane waves in a half-space with variable material properties under fractional order thermoelastic diffusion

International Journal of Applied Electromagnetics and Mechanics ◽

10.3233/jae-160038 ◽

2017 ◽

Vol 53 (2) ◽

pp. 251-269 ◽

Author(s):

Chunbao Xiong ◽

Ying Guo

Keyword(s):

Fractional Order ◽

Material Properties ◽

Plane Waves ◽

Thermoelastic Diffusion

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Fractional order generalised thermoelasticity to an infinite body with a cylindrical cavity and variable material properties

European Journal of Computational Mechanics ◽

10.1080/17797179.2014.912411 ◽

2014 ◽

Vol 23 (1-2) ◽

pp. 96-111

Author(s):

P. Pal ◽

A. Kar ◽

M. Kanoria

Keyword(s):

Fractional Order ◽

Material Properties ◽

Cylindrical Cavity ◽

Infinite Body ◽

Generalised Thermoelasticity

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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 ◽

10.1002/zamm.202000321 ◽

2021 ◽

Author(s):

Ankit Bajpai ◽

P. K. Sharma ◽

Rajneesh Kumar

Keyword(s):

Fractional Order ◽

Material Properties ◽

Temperature Dependent ◽

Thermoelastic Diffusion ◽

Two Temperature

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Eigenvalue approach to fractional order thermoelasticity for an infinite body with a spherical cavity

Journal of the Association of Arab Universities for Basic and Applied Sciences ◽

10.1016/j.jaubas.2014.11.001 ◽

2016 ◽

Vol 20 (1) ◽

pp. 84-88 ◽

Author(s):

Ibrahim A. Abbas

Keyword(s):

Fractional Order ◽

Spherical Cavity ◽

Infinite Body ◽

Eigenvalue Approach

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Generalized Thermoelastic Diffusion Problem for an Infinite Medium with a Spherical Cavity

International Journal of Thermophysics ◽

10.1007/s10765-011-1138-0 ◽

2011 ◽

Vol 33 (1) ◽

pp. 172-183 ◽

Author(s):

M. A. Elhagary

Keyword(s):

Spherical Cavity ◽

Diffusion Problem ◽

Infinite Medium ◽

Thermoelastic Diffusion ◽

Generalized Thermoelastic Diffusion ◽

Generalized Thermoelastic

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Axi-symmetric generalized thermoelastic diffusion problem with two-temperature and initial stress under fractional order heat conduction

Physica B Condensed Matter ◽

10.1016/j.physb.2016.05.008 ◽

2016 ◽

Vol 496 ◽

pp. 57-68 ◽

Author(s):

Sunita Deswal ◽

Kapil Kumar Kalkal ◽

Sandeep Singh Sheoran

Keyword(s):

Heat Conduction ◽

Initial Stress ◽

Fractional Order ◽

Diffusion Problem ◽

Thermoelastic Diffusion ◽

Generalized Thermoelastic Diffusion ◽

Generalized Thermoelastic ◽

Two Temperature

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Fractional thermoelastic diffusion problem for an infinite medium with a spherical cavity using Modified Caputo-Fabrizio’s definition

Waves in Random and Complex Media ◽

10.1080/17455030.2021.1959672 ◽

2021 ◽

pp. 1-22

Author(s):

M. A. Elhagary

Keyword(s):

Spherical Cavity ◽

Diffusion Problem ◽

Infinite Medium ◽

Thermoelastic Diffusion

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Fractional Order Theory of Thermoelastic Diffusion Problem for an Infinite Medium with Cylindrical Cavity

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2015.4089 ◽

2015 ◽

Vol 12 (10) ◽

pp. 3118-3124

Author(s):

Ibrahim A. Abbas

Keyword(s):

Fractional Order ◽

Cylindrical Cavity ◽

Order Theory ◽

Diffusion Problem ◽

Infinite Medium ◽

Thermoelastic Diffusion

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