A new fractional viscoelastic model for an infinitely thermoelastic body with a spherical cavity including Caputo-Fabrizio operator without singular kernel

2021 ◽  
Author(s):  
Khalil M. Khalil ◽  
Ahmed E. Abouelregal ◽  
Doaa Atta
Keyword(s):  
Spherical Cavity ◽  
Viscoelastic Model ◽  
Singular Kernel ◽  
Thermoelastic Body

scholarly journals Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity

2000 ◽  
Vol 23 (8) ◽  
pp. 555-562 ◽  
Author(s):  
D. S. Chandrasekharaiah ◽  
K. S. Srinath
Keyword(s):  
Energy Dissipation ◽  
Spherical Cavity ◽  
Small Time ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Thermoelastic Body ◽  
Without Energy Dissipation ◽  
The Waves ◽  
Thermoelastic Waves ◽  
Stress Free Boundary

The linear theory of thermoelasticity without energy dissipation is employed to study waves emanating from the boundary of a spherical cavity in a homogeneous and isotropic unbounded thermoelastic body. The waves are supposed to be spherically symmetric and caused by a constant step in temperature applied to the stress-free boundary of the cavity. Small-time solutions for the displacement, temperature, and stress fields are obtained by using the Laplace transform technique. It is found that there exist two coupled waves, of which one is predominantly elastic and the other is predominantly thermal, both propagating with finite speeds but with no exponential attenuation. Exact expressions for discontinuities in the field functions that occur at the wavefronts are computed and analysed. The results are compared with those obtained earlier in the contexts of some other models of thermoelasticity.

Fluid Dynamics of Spherical Cavity Reactors

1987 ◽  
Author(s):  
Isaac Maya ◽  
Craig Christy ◽  
Mohamad Dagher ◽  
Thomas Kim ◽  
J. Richard Williams
Keyword(s):  
Fluid Dynamics ◽  
Spherical Cavity

THERMO-VISCOELASTIC MODEL FOR THE CONTRACTION DURING THE POLYMERIZATION OF BULK FILL RESINS

2018 ◽  
Author(s):  
Claudio Antunes Junior ◽  
Emílio Mercuri ◽  
Ana Paula Gebert de Oliveira Franco ◽  
Leandro Zen Karam
Keyword(s):  
Viscoelastic Model

Oscillatory Viscoelastic Model of Blood Flow in Stenotic Artery

2020 ◽  
Vol 82 (5) ◽  
pp. 617-625
Author(s):  
Pramod Kumar Yadav ◽  
Bhupesh Dutt Sharma ◽  
A. N. Filippov
Keyword(s):  
Blood Flow ◽  
Viscoelastic Model
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