2D hereditary thermoelastic application of a thick plate under axisymmetric temperature distribution

2021 ◽  
Author(s):  
Hany H. Sherief ◽  
Abd El‐Latief M. Abd El‐Latief ◽  
Mohsen A. Fayik
Keyword(s):  
Temperature Distribution ◽  
Thick Plate ◽  
Axisymmetric Temperature

Analysis of phase-lag effects on wave propagation in a thick plate under axisymmetric temperature distribution

2009 ◽  
Vol 210 (3-4) ◽  
pp. 331-344 ◽  
Author(s):  
Santwana Mukhopadhyay ◽  
Roushan Kumar
Keyword(s):  
Wave Propagation ◽  
Temperature Distribution ◽  
Thick Plate ◽  
Phase Lag ◽  
Lag Effects ◽  
Axisymmetric Temperature

scholarly journals Discontinuities in an axisymmetric generalized thermoelastic problem

2005 ◽  
Vol 2005 (7) ◽  
pp. 1015-1029 ◽  
Author(s):  
Moncef Aouadi
Keyword(s):  
Temperature Distribution ◽  
Shear Wave ◽  
Inversion Formula ◽  
Fourier Expansion ◽  
Thick Plate ◽  
Hankel Transform ◽  
The Other ◽  
Stress Fields ◽  
Generalized Thermoelastic ◽  
Axisymmetric Temperature

This paper deals with discontinuities analysis in the temperature, displacement, and stress fields of a thick plate whose lower and upper surfaces are traction-free and subjected to a given axisymmetric temperature distribution. The analysis is carried out under three thermoelastic theories. Potential functions together with Laplace and Hankel transform techniques are used to derive the solution in the transformed domain. Exact expressions for the magnitude of discontinuities are computed by using an exact method developed by Boley (1962). It is found that there exist two coupled waves, one of which is elastic and the other is thermal, both propagating with finite speeds with exponential attenuation, and a third which is called shear wave, propagating with constant speed but with no exponential attenuation. The Hankel transforms are inverted analytically. The inversion of the Laplace transforms is carried out using the inversion formula of the transform together with Fourier expansion techniques. Numerical results are presented graphically along with a comparison of the three theories of thermoelasticity.

2D PROBLEM FOR A SPHERE IN THE FRACTIONAL ORDER THEORY THERMOELASTICITY TO AXISYMMETRIC TEMPERATURE DISTRIBUTION

2022 ◽  
Vol 11 (1) ◽  
pp. 1-15
Author(s):  
S.G. Khavale ◽  
K.R. Gaikwad
Keyword(s):  
Temperature Distribution ◽  
Fractional Order ◽  
Direct Method ◽  
Order Theory ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Copper Material ◽  
Mathcad Software ◽  
Axisymmetric Temperature ◽  
A Direct Method

In the present article, we implement the fractional thermoelasticity theory to a 2D issue for a sphere whose surface is free from traction, subject to a provided axisymmetric temperature distribution of heat. The medium is supposed to be quiescent initially. A direct method is used to get a solution and the Laplace transform technique is used. Mathematical models for copper material are designed as a particular instance. Numerical results are computed with help of Mathcad software and graphically represented and the fractional-order parameter effect has been explained.

Transient Heat Conduction in an Infinite Plate With a Transverse Circular Cylindrical Hole

1973 ◽  
Vol 95 (3) ◽  
pp. 414-416 ◽  
Author(s):  
C. D. Michalopoulos ◽  
J. J. Seco
Keyword(s):  
Heat Conduction ◽  
Temperature Distribution ◽  
Infinite Plate ◽  
Transient Heat Conduction ◽  
Cylindrical Hole ◽  
The Other ◽  
Graphical Form ◽  
Zero Temperature ◽  
Temperature Distributions ◽  
Axisymmetric Temperature

The flow of heat in an infinite plate with a transverse circular cylindrical hole is considered. The boundary conditions are zero temperature on the cylindrical surface and arbitrary but axisymmetric temperature distributions on the plane surfaces. The solution is obtained by means of Laplace and an unconventional Hankel transforms. Numerical results are given in graphical form for a plate with a step temperature distribution on one face and zero temperature on the other.

Impact of Non-Uniform Temperature on Flange Leak Tightness

2013 ◽  
Author(s):  
Gong H. Jung ◽  
Minsu Kim ◽  
Eric Gage
Keyword(s):  
Temperature Distribution ◽  
Heat Exchangers ◽  
Test Results ◽  
Uniform Temperature ◽  
Element Analysis ◽  
Bolt Stress ◽  
Leak Tightness ◽  
Stress Behaviors ◽  
The Impact ◽  
Axisymmetric Temperature

It is critical to maintain uniformity of gasket stress in control against leakage in piping and heat exchangers. Many innovative bolting tools have been developed, but their benefit could be downgraded if there were sources disrupting initially achieved uniformity of gasket stress, especially temperature differences in mating flanges and non-axisymmetric temperature. It is thus necessary to understand behaviors of flanges and gaskets with non-uniform temperature distribution. The impact of temperature differences in mating flanges with various types of gaskets on leak tightness was evaluated by lab tests. Based on test results, 250°F was proposed as a tentative allowable skin temperature difference of mating flanges in heat exchangers. The characteristics of gasket stress behaviors with non-axisymmetric temperature distribution were studied using analytical solution and finite element analysis. It was found that change of gasket stress is independent of the magnitude of initial bolt stress, and initial bolt stress of 50 ksi is sufficient to protect all evaluated flanges against leakage under evaluated non-axisymmetric temperature distributions.

Understanding Behaviors of Bolted Flanges With Non-Axisymmetric Temperature Distribution

2014 ◽  
Author(s):  
Gong H. Jung ◽  
Minsu Kim
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Temperature Distribution ◽  
Curve Fitting ◽  
Heat Exchangers ◽  
Element Analysis ◽  
Bolt Stress ◽  
Rigidity Index ◽  
Axisymmetric Temperature

It is critical to maintain uniformity of gasket stress in control against leakage in piping and heat exchangers. Many innovative bolting tools have been developed, but their benefit could be downgraded if there were sources disrupting initially achieved uniformity of gasket stress. The characteristics behaviors of gasket stress in flanges with NATD (Non-Axisymmetric Temperature Distribution) were studied using finite element analysis on ANSI standard flanges. It was found that change of gasket stress was independent of the magnitude of initial bolt stress and size of flange, but strongly dependent upon type of flange class. Empirical curves (curve fitting equation) were proposed to determine change of gasket stress which was function of degree of NATD and flange class (rigidity index). The change of bolt stress with NATD was relatively small compared to the change of gasket stress, which may make it difficult to assess flange integrity by monitoring bolt stress in service.

Sign in / Sign up

Export Citation Format

Share Document