Variational principle, uniqueness and reciprocity theorems for higher order time-fractional four-phase-lag generalized thermoelastic diffusion model

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

Mechanics Based Design of Structures and Machines ◽

10.1080/15397734.2020.1730189 ◽

2020 ◽

pp. 1-18 ◽

Cited By ~ 3

Author(s):

Ahmed E. Abouelregal ◽

Mohammed A. Elhagary ◽

Amr Soleiman ◽

Khalil M. Khalil

Keyword(s):

Diffusion Model ◽

Higher Order ◽

Thermoelastic Diffusion ◽

Phase Lags ◽

Variational principle, uniqueness and reciprocity theorems in the theory of generalized thermoelastic diffusion material

QScience Connect ◽

10.5339/connect.2013.27 ◽

2013 ◽

pp. 27 ◽

Cited By ~ 1

Author(s):

Rajneesh Kumar ◽

Tarun Kansal

Keyword(s):

Variational Principle ◽

Thermoelastic Diffusion ◽

A two-dimensional generalized thermoelastic diffusion problem for a half-space

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2015.01.002 ◽

2015 ◽

Vol 52 ◽

pp. 37-43 ◽

Cited By ~ 25

Author(s):

Tianhu He ◽

Chenlin Li ◽

Shuanhu Shi ◽

Yongbin Ma

Keyword(s):

Half Space ◽

Diffusion Problem ◽

Two Dimensional ◽

Thermoelastic Diffusion ◽

A two-dimensional generalized thermoelastic diffusion problem for a half-space

Mathematics and Mechanics of Solids ◽

10.1177/1081286514549877 ◽

2016 ◽

Vol 21 (9) ◽

pp. 1045-1060 ◽

Cited By ~ 9

Author(s):

Amany M El-Sayed

Keyword(s):

Half Space ◽

Diffusion Problem ◽

Two Dimensional ◽

Thermoelastic Diffusion ◽

Some theorems on generalized thermoelastic diffusion

Acta Mechanica ◽

10.1007/s00707-010-0401-y ◽

2010 ◽

Vol 217 (3-4) ◽

pp. 287-296 ◽

Cited By ~ 11

Author(s):

Roushan Kumar ◽

Shweta Kothari ◽

Santwana Mukhopadhyay

Keyword(s):

Thermoelastic Diffusion ◽

Classic and Generalized Thermoelastic Diffusion Theories

Encyclopedia of Thermal Stresses ◽

10.1007/978-94-007-2739-7_358 ◽

2014 ◽

pp. 567-575 ◽

Cited By ~ 4

Author(s):

Moncef Aouadi

Keyword(s):

Thermoelastic Diffusion ◽

Analytical study of transient thermo-mechanical responses in a fractional order generalized thermoelastic diffusion spherical shell with variable thermal conductivity and diffusivity

Waves in Random and Complex Media ◽

10.1080/17455030.2019.1648910 ◽

2019 ◽

pp. 1-24 ◽

Cited By ~ 1

Author(s):

Chenlin Li ◽

Xiaogeng Tian ◽

Tianhu He

Keyword(s):

Thermal Conductivity ◽

Spherical Shell ◽

Fractional Order ◽

Analytical Study ◽

Variable Thermal Conductivity ◽

Thermoelastic Diffusion ◽

Mechanical Responses ◽

Generalized thermoelastic responses in an infinite solid cylinder under the thermoelastic-diffusion model with four lags

Chinese Journal of Physics ◽

10.1016/j.cjph.2021.08.015 ◽

2021 ◽

Author(s):

Ahmed E. Abouelregal ◽

H. Ahmad ◽

A.M.H. Yahya ◽

A. Saidi ◽

H. Alfadil

Keyword(s):

Diffusion Model ◽

Solid Cylinder ◽

Thermoelastic Diffusion ◽

Boundary integral equation formulation for generalized thermoelastic diffusion – Analytical aspects

Applied Mathematical Modelling ◽

10.1016/j.apm.2013.11.070 ◽

2014 ◽

Vol 38 (14) ◽

pp. 3523-3537 ◽

Cited By ~ 1

Author(s):

Shweta Semwal ◽

Santwana Mukhopadhyay

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Boundary Integral ◽

Thermoelastic Diffusion ◽

Equation Formulation ◽

Integral Equation Formulation ◽

A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2007.01.019 ◽

2007 ◽

Vol 44 (17) ◽

pp. 5711-5722 ◽

Cited By ~ 83

Author(s):

Moncef Aouadi

Keyword(s):

Elastic Body ◽

Spherical Cavity ◽

Thermoelastic Diffusion ◽