Two-dimensional problem of two-temperature generalized thermoelasticity using memory-dependent heat transfer: an integral transform approach

2019 ◽  
Vol 94 (12) ◽  
pp. 1965-1974 ◽  
Author(s):  
Nantu Sarkar ◽  
Sudip Mondal
Keyword(s):  
Heat Transfer ◽  
Integral Transform ◽  
Generalized Thermoelasticity ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Two Temperature

scholarly journals Effect of Rotation for Two-Temperature Generalized Thermoelasticity of Two-Dimensional under Thermal Shock Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Kh. Lotfy ◽  
Wafaa Hassan
Keyword(s):  
Thermal Shock ◽  
Half Space ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Generalized Thermoelasticity ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Field Equations ◽  
Conductive Temperature ◽  
Two Temperature

The theory of two-temperature generalized thermoelasticity based on the theory of Youssef is used to solve boundary value problems of two-dimensional half-space. The governing equations are solved using normal mode method under the purview of the Lord-Şhulman (LS) and the classical dynamical coupled theory (CD). The general solution obtained is applied to a specific problem of a half-space subjected to one type of heating, the thermal shock type. We study the influence of rotation on the total deformation of thermoelastic half-space and the interaction with each other under the influence of two temperature theory. The material is homogeneous isotropic elastic half-space. The methodology applied here is use of the normal mode analysis techniques that are used to solve the resulting nondimensional coupled field equations for the two theories. Numerical results for the displacement components, force stresses, and temperature distribution are presented graphically and discussed. The conductive temperature, the dynamical temperature, the stress, and the strain distributions are shown graphically with some comparisons.

Two-dimensional problem for thermoviscoelastic materials with fractional order heat transfer

2019 ◽  
Vol 42 (10) ◽  
pp. 1298-1315 ◽  
Author(s):  
Mohamed H. Hendy ◽  
Magdy M. Amin ◽  
Magdy A. Ezzat
Keyword(s):  
Heat Transfer ◽  
Fractional Order ◽  
Two Dimensional ◽  
Dimensional Problem
Sign in / Sign up

Export Citation Format

Share Document