Temperature-rate dependent electro-magneto-thermoelastic plane waves in a rotating solid

1986 ◽  
Vol 24 (7) ◽  
pp. 1173-1181 ◽  
Author(s):  
D.S. Chandrasekharaiah
Keyword(s):  
Plane Waves ◽  
Rate Dependent ◽  
Temperature Rate

Three-dimensional constitutive model for shape-memory polymers considering temperature-rate dependent behavior

2021 ◽  
Vol 30 (3) ◽  
pp. 035030
Author(s):  
Jinsu Kim ◽  
Seung-Yeol Jeon ◽  
Seokbin Hong ◽  
Yongsan An ◽  
Haedong Park ◽  
...  
Keyword(s):  
Constitutive Model ◽  
Shape Memory ◽  
Three Dimensional ◽  
Shape Memory Polymers ◽  
Rate Dependent ◽  
Dependent Behavior ◽  
Temperature Rate

scholarly journals Stability in constrained temperature-rate-dependent thermoelasticity

2017 ◽  
Vol 22 (8) ◽  
pp. 1738-1763
Author(s):  
Amnah M Alharbi ◽  
Nigel H Scott
Keyword(s):  
Heat Conduction Equation ◽  
Deformation Gradient ◽  
Generalized Thermoelasticity ◽  
Rate Of Change ◽  
Harmonic Waves ◽  
Rate Dependent ◽  
Thermoelastic Material ◽  
Anisotropic Temperature ◽  
Temperature Rate ◽  
Anisotropic And Isotropic Materials

In an anisotropic temperature-rate-dependent thermoelastic material four plane harmonic waves may propagate in any direction, all dispersive and attenuated, and all stable in the sense that their amplitudes remain bounded in the direction of travel. In this paper, the material is additionally assumed to suffer an internal constraint of the deformation-temperature type, i.e. the temperature is a prescribed function of the deformation gradient. In this constrained thermoelastic material four waves continue to propagate but instabilities are now found. Constrained temperature-rate-dependent thermoelasticity is then combined with generalized thermoelasticity in which the rate of change of heat flux also appears in the heat conduction equation. Four waves again propagate but instabilities are found as before. Anisotropic and isotropic materials are both considered.

Temperature-rate-dependent thermoelastic interactions due to a line heat source

1991 ◽  
Vol 89 (1-4) ◽  
pp. 1-12 ◽  
Author(s):  
D. S. Chandrasekharaiah ◽  
H. N. Murthy
Keyword(s):  
Heat Source ◽  
Line Heat Source ◽  
Rate Dependent ◽  
Temperature Rate

Fractional Order Generalized Electro-Magneto-Thermo-Elasticity with Magnetic Monopoles and Geometrical Nonlinearity

2013 ◽  
Vol 273 ◽  
pp. 162-166 ◽  
Author(s):  
Ya Jun Yu ◽  
Xiao Geng Tian
Keyword(s):  
Electromagnetic Field ◽  
Numerical Methods ◽  
Fractional Calculus ◽  
Fractional Order ◽  
Inverse Method ◽  
Geometrical Nonlinearity ◽  
Generalized Thermoelasticity ◽  
Magnetic Monopoles ◽  
Rate Dependent ◽  
Temperature Rate

Recently, Youssef developed the fractional order generalized thermoelasticity (FOGTE) in the context of extended thermoelasticity (ETE). In this work, we extended the concept of fractional calculus into the temperature rate dependent thermoelasticity (TRDTE) and introduced the unified form of the two cases. Upon introducing the electromagnetic field with magnetic monopoles and considering the geometrical nonlinearity, we proposed a fractional order generalized electro-magneto- thermo-elasticity (FOGEMm-poleTEg-non) with magnetic monopoles (m-pole) and geometrical nonlinearity (g-non). To deal with multi-physics problems using numerical methods, we obtained a generalized variational theorem by using the semi-inverse method.

Sign in / Sign up

Export Citation Format

Share Document