African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

An internal heat source in temperature rate dependent thermoelastic medium subjected to the effect of rotation and gravity field

F. S. Bayones
  • F. S. Bayones
  • Mathematics Department, Faculty of Science, Taif University, Saudi Arabia.
  • Google Scholar


  •  Received: 18 September 2019
  •  Accepted: 03 January 2020
  •  Published: 29 February 2020

References

Abd-Alla AM, Bayones FS (2011). Effect of rotation and initial stress on generalized thermoelastic problem in an infinite circular cylinder. Applied Mathematical Sciences 5(42):2049-2076.

 

Abd-Alla AM, Abo-Dahab SM (2012). Effect of rotation and initial stress on an infinite generalized magneto-thermoelastic diffusion body with a spherical cavity. Journal of Thermal Stresses 35(10):892-912.
Crossref

 
 

Abd-Alla AM, Abo-Dahab SM, Bayones FS (2011). Rayleigh waves in generalized magneto-thermo-viscoelastic granular medium under the influence of rotation, gravity field, and initial stress, Mathematical Problems in engineering. Article ID 763429, 47p.
Crossref

 
 

Abd-Alla AM, Abo-Dahab SM, Bayones FS (2011a). Effect of the rotation on an infinite generalized magneto-thermoelastic diffusion body with a spherical cavity. International Review of Physics 5(4):171-181.

 
 

Abd-Alla AM, Abo-Dahab SM, Bayones FS (2011b). Effect of the rotation and initial stress on generalized- thermoelastic problem in an infinite circular cylinder. Advances in Theoretical and Applied Mechanics 4:15-42.

 
 

Abd-Alla AM, Abo-Dahab SM, Bayones FS (2013a). Propagation of Rayleigh waves in magneto-thermo-elastic half-space of a homogeneous orthotropic material under the effect of rotation, initial stress and gravity field. Journal of Vibration and Control 19(9):1395-1420.
Crossref

 
 

Abd-Alla AM, Abo-Dahab SM, Bayones FS (2015). Wave propagation in fibre-reinforced anisotropic thermoelastic medium subjected to gravity field. Structural Engineering and Mechanics 53(2):277-296.
Crossref

 
 

Abd-Alla AM, Abo-Dahab SM, Mahmoud SR, Hammad HA (2011c). On generalized magneto-thermoelastic Rayleigh waves in a granular medium under influence of gravity field and initial stress. Journal of Vibration and Control 17(1):115-128.
Crossref

 
 

Abd-Alla AM, Abo-Dahab SM, Mahmoud SR, Thamalia TA (2013b). Influence of the rotation and gravity field on stonely waves in a non- homogeneous orthotropic elastic medium. Journal of Computational and Theoretical Nanoscience 10(2):297-305.
Crossref

 
 

Abd-Alla AM, Abo-Mahmoud SR, Abo- Dahab SM (2012). On problem of transient coupled thermoelasticity of an annular fin. Meccanica 47(5):1295-1306.
Crossref

 
 

Abd-Alla AM, Bayones FS (2011). Effect of rotation and initial stress on generalized thermoelastic problem in an infinite circular cylinder. Applied Mathematical Sciences 5(42):2049-2076.

 
 

Abd-Alla AM, Mahmoud SR, Helmi MIR (2011d). Propagation of S-wave in a non-homogeneous anisotropic incompressible and initially stressed medium under influence of gravity field. Applied Mathematics and Computation 217(9):4321-4332.
Crossref

 
 

Abd-Alla AM, Yahya GA (2011). Radial vibration of wave propagation in an elastic medium of a non- homogeneous orthotropic material under influence of rotation. International Journal of Basic and Applied 11:26-35.

 
 

Abd-Alla AM, Yahya GA (2013). Mahmoud SR, Effect of magnetic field and non-homogeneity on the radial vibration in hollow rotating elastic cylinder. Meccanica 48(3):555-566.
Crossref

 
 

Abd-Alla AM, Yahya GA, Farhan AM (2012a). Effect of rotation and non-homogeneity on the radial vibration in orthotropic hollow sphere. International Journal of Mechanical Engineering 12:1-10.

 
 

Abo-Dahab SM, Abd-Alla AM (2014). Effects of voids and rotation on plane waves in generalized thermoelasticity. International Journal of Mechanical Engineering 27(12):3607-3614.
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Abouelregal AE (2011). Rayleigh waves in a thermoelastic solid half space using dual-phase-lag model. International Journal of Engineering Science 49(8):781-791.
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Ailawalia P, Budhiraja S (2010). Effect of hydrostatic initial stress and rotation in Green-Naghdi (type III) thermoelastic half-space. Multidiscipline Modeling in Materials and Structures 7(2):131-145.
Crossref

 
 

Bayones FS (2012). Effects of rotation and hydrostatic initial stress on propagation of Raylegh in waves in an elastic solide half-space under the GN theory. Pioneer Journal of Advances in Applied Mathematics 5:1-17.

 
 

Bayones FS (2015). Effect of rotation and initial magnetic field in fibre- reinforced anisotropic elastic media. Applied Mathematics 6(05):877.
Crossref

 
 

Bayones FS, Hussien NS (2015a). An analytical solution for effect of rotation and magnetic field on the composite infinite cylinder in non-homogeneity viscoelastic media. Applied Mathematics and Information Sciences 9(6):1-8.

 
 

Bayones FS, Hussien NS (2015b). Fibre-reinforced generalized thermoelastic medium subjected to gravity field. Journal of Modern Physics 6(08):1113.
Crossref

 
 

Biot MA (1956). Thermoelasticity and irreversible thermodynamics. Journal of Applied Physics 27(3):240-253.
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Datta BK (1986). Some observation on interactions of rayleigh waves in an elastic solid medium with the gravity field. Revue Roumaine des Scinces Techniqu-Serie de Mecanique Appliquee 31(4):369-374.

 
 

Green AE, Lindsay A (1972). Thermoelasticity. Journal of Elasticity 2(1):1-7.
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Lord HW, Shulman Y (1967). A generalized dynamical theory of thermo-elasticity. Journal of the Mechanics and Physics of Solids 15(5):299-309.
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Morse PM, Feshbach H (1953). Methods of Theoretical Physics, Part I. McGraw-Hill, New york.

 
 

Ponnusamy P(2007). Wave propagation in a generalized thermoelastic solid cylinder of arbitrary cross-section. International Journal of Solids and Structures 44(16):5336-5348.
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