ANALYSIS OF THE STRESS-FOCUSING EFFECT IN A SOLID CYLINDER SUBJECTED TO INSTANTANEOUS HEATING BASED ON THE GENERALIZED THERMOELASTICITY

2001 ◽  
Vol 24 (4) ◽  
pp. 383-394 ◽  
Author(s):  
XiaoFei Ding, Toshio Furukawa, Hiro
Keyword(s):  
Generalized Thermoelasticity ◽  
Solid Cylinder ◽  
Focusing Effect

scholarly journals Generalized thermoelasticity for an infinite solid cylinder.

1990 ◽  
Vol 56 (523) ◽  
pp. 631-637
Author(s):  
Toshio FURUKAWA ◽  
Naotake NODA ◽  
Fumihiro ASHIDA
Keyword(s):  
Generalized Thermoelasticity ◽  
Solid Cylinder

scholarly journals Effect of modified Ohm's and Fourier's laws on magneto thermoviscoelastic waves with Green-Naghdi theory in a homogeneous isotropic hollow cylinder

2021 ◽  
Vol 8 (6) ◽  
pp. 40-47
Author(s):  
Khamis et al. ◽  
Keyword(s):  
Magnetic Field ◽  
Temperature Gradient ◽  
Charge Density ◽  
Current Density ◽  
Thermal Stresses ◽  
Generalized Thermoelasticity ◽  
Solid Cylinder ◽  
Viscoelastic Solid ◽  
The Impact ◽  
Change System

This paper deals with the modified Ohm's law, including the temperature gradient and charge density effects, and the generalized Fourier's law, including the present current density impact, the problem of conveyance of thermal stresses and temperature in a generalized Magneto–Thermo-Viscoelastic Solid Cylinder of radius L. The formulation is applied to the generalized thermoelasticity dependent on the Green-Naghdi (G-N II) hypothesis. The Laplace change system is utilized to solve the problem. At last, the outcomes got are introduced graphically to show the impact of Magnetic Field and time and on the field variables.

Reconsideration of the Stress-Focusing Effect in a Uniformly Heated Solid Cylinder

1994 ◽  
Vol 61 (3) ◽  
pp. 676-680 ◽  
Author(s):  
T. Hata
Keyword(s):  
Free Surface ◽  
Infinite Series ◽  
Stress Waves ◽  
Ray Theory ◽  
Solid Cylinder ◽  
Reflected Waves ◽  
Focusing Effect ◽  
Ray Path ◽  
Very High ◽  
Constant Period

The stress-focusing effect is the phenomenon that, under an instantaneous heating, stress waves reflected from the free surface of the cylinder result in very high stresses at the center. Ho solved the problem by using Laplace transform on time and presented the solution as infinite series summations, which converge very slowly for certain combinations of time and the radius of a cylinder. However, adopting a concept of the ray theory, the solution of stress waves in the cylinder is sorted out into rays according to the ray path of multiply reflected waves. The results expressed in an infinite series reveal that stresses peak out periodically at a constant period and the order of singularity of the stresses in a cylinder is O(ρ−2).

Thermo-diffusion of solid cylinders based upon refined dual-phase-lag models

2020 ◽  
Vol 16 (6) ◽  
pp. 1417-1434
Author(s):  
Ashraf M. Zenkour
Keyword(s):  
Single Phase ◽  
Chemical Potential ◽  
Thermal Flux ◽  
Closed Form Solution ◽  
Generalized Thermoelasticity ◽  
Phase Lag ◽  
Dual Phase ◽  
Solid Cylinder ◽  
Content Type ◽  
Coupled Equations

PurposeThe thermo-diffusion analysis of an isotropic cylinder under thermal flux and chemical potential impacts has been discussed. Improvements of Green and Naghdi generalized thermoelasticity theory have been proposed.Design/methodology/approachSome models with and without energy dissipation have been presented as well as the simple forms of Green–Naghdi (G–N) theories. These novel multi- and single-/dual-phase-lag models are presented to investigate the thermo-diffusion of the solid cylinder. The closed-form solution of thermo-diffusion governing equations of solid cylinder has been obtained to deduce all field variables.FindingsA comparison study between the simple G–N II and III models and their improved models has been presented. The validations of outcomes are acceptable and so benchmarks are reported to help other investigators in their future comparisons.Originality/valueThe modified Green and Naghdi theories of types II and III are presented to get novel and accurate models of single- and dual-phase-lag of multiterms. The heat of mass diffusion equation as well as the constitutive equations for the stresses and chemical potential of a solid cylinder is added to the present formulation. The system of three differential coupled equations is solved, and all field variables are obtained for the thermal diffusion of the solid cylinder. Some validation examples and applications are presented to compare the simple and modified Green and Naghdi theories of types II and III. Sample plots are illustrated along the radial direction of the solid cylinder. Some results are tabulated to serve as benchmark results for future comparisons with other investigators. The reported and illustrated results show that the simple G–N II and III models yield the largest values of all field quantities. The single-phase-lag models give the smallest values. However, the dual-phase-lag model yields results that are intermediate between those of the simple and single-phase-lag G–N models.

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