Dynamic problem of fractional order thermoelasticity for a thick circular plate with finite wave speeds

2016 ◽  
Vol 39 (2) ◽  
pp. 220-230 ◽  
Author(s):  
J. J. Tripathi ◽  
G. D. Kedar ◽  
K. C. Deshmukh
Keyword(s):  
Circular Plate ◽  
Fractional Order ◽  
Dynamic Problem ◽  
Wave Speeds ◽  
Thick Circular Plate

Effects of Phase-Lag on Thick Circular Plate with Heat Sources in Modified Couple Stress Thermoelastic Medium

2016 ◽  
Vol 32 (6) ◽  
pp. 665-671 ◽  
Author(s):  
R. Kumar ◽  
S. Devi
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Mathematical Formulation ◽  
Phase Lag ◽  
Heat Sources ◽  
Thermoelastic Medium ◽  
Conduction Model ◽  
Three Phase ◽  
Thick Circular Plate ◽  
Modified Couple Stress

AbstractThe main objective of the present paper is to analyze the effects of phase-lag on thick circular plate with heat sources in modified couple stress thermoelastic medium. The mathematical formulation is prepared for three-phase-lag heat conduction model subjected to prescribed normal heat flux along with stress free boundary. Laplace and Hankel transforms are used to deal the problem. The displacements, stresses and temperature change are obtained in the transformed domain. Numerical inversion technique has been used to obtain the solutions in the physical domain. The results obtained numerically for these quantities are presented graphically. Some particular cases are also discussed in the present problem.

scholarly journals Inverse quasi–static unsteady–state thermal stresses in a thick circular plate

2017 ◽  
Vol 4 (1) ◽  
pp. 1283763
Author(s):  
Ishaque Khan ◽  
Lalsingh Khalsa ◽  
Vinod Varghese ◽  
Yong Hong Wu
Keyword(s):  
Circular Plate ◽  
Thermal Stresses ◽  
Unsteady State ◽  
Thick Circular Plate

Axisymmetric Distributions of Thick Circular Plate in a Modified Couple Stress Theory

2015 ◽  
Vol 03 (03n04) ◽  
pp. 1550004 ◽  
Author(s):  
Rajneesh Kumar ◽  
Marin Marin ◽  
Ibrahim A. Abbas
Keyword(s):  
Circular Plate ◽  
Couple Stress ◽  
Chemical Potential ◽  
Couple Stress Theory ◽  
Elastic Solid ◽  
Modified Couple Stress Theory ◽  
Stress Theory ◽  
Stress Components ◽  
Thick Circular Plate ◽  
Modified Couple Stress

In this paper, the two-dimensional axisymmetric distributions of thick circular plate in modified couple stress theory with heat and mass diffusive sources is investigated. The problem is considered in the context of the theories of thermodiffusion elastic solid with one and two relaxation time developed by Sherief et al. [Int. J. Eng. Sci. 42, 591 (2004)] and Kumar and Kansal [Int. J. Solid Struct. 45, 5890 (2008)] by using Laplace and Hankel transforms technique. The displacements, stress components, temperature change and chemical potential are obtained in transformed domain. Particular cases of interest are also deduced.

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