State-space approach to two-temperature generalized thermoelasticity without energy dissipation of medium subjected to moving heat source

2012 ◽  
Vol 34 (1) ◽  
pp. 63-74 ◽  
Author(s):  
H. M. Youssef
Keyword(s):  
Energy Dissipation ◽  
Heat Source ◽  
State Space ◽  
Generalized Thermoelasticity ◽  
Moving Heat Source ◽  
State Space Approach ◽  
Without Energy Dissipation ◽  
Two Temperature ◽  
Space Approach

State space approach for the vibration of nanobeams based on the nonlocal thermoelasticity theory without energy dissipation

2015 ◽  
Vol 29 (7) ◽  
pp. 2921-2931 ◽  
Author(s):  
A. M. Zenkour ◽  
A. E. Abouelregal ◽  
K. A. Alnefaie ◽  
N. H. Abu-Hamdeh ◽  
A. A. Aljinaidi ◽  
...  
Keyword(s):  
Energy Dissipation ◽  
State Space ◽  
State Space Approach ◽  
Thermoelasticity Theory ◽  
Without Energy Dissipation ◽  
Space Approach

Modeling of memory-dependent derivatives with the state-space approach

2019 ◽  
Vol 16 (4) ◽  
pp. 657-677
Author(s):  
Siddhartha Biswas
Keyword(s):  
Time Delay ◽  
State Space ◽  
Kernel Function ◽  
Generalized Thermoelasticity ◽  
Inversion Method ◽  
Two Dimensional ◽  
State Space Approach ◽  
Content Type ◽  
Coupled Equations ◽  
Space Approach

Purpose The purpose of this paper is to deal with a new generalized model of thermoelasticity theory with memory-dependent derivatives (MDD). Design/methodology/approach The two-dimensional equations of generalized thermoelasticity with MDD are solved using a state-space approach. The numerical inversion method is employed for the inversion of Laplace and Fourier transforms. Findings The solutions are presented graphically for different values of time delay and kernel function. Originality/value The governing coupled equations of the new generalized thermoelasticity with time delay and kernel function, which can be chosen freely according to the necessity of applications, are applied to a two-dimensional problem of an isotropic plate.

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