The Initial Phase of Transient Thermal Stresses Due to General Boundary Thermal Loads in Orthotropic Hollow Cylinders

1990 ◽  
Vol 57 (3) ◽  
pp. 719-724 ◽  
Author(s):  
G. A. Kardomateas
Keyword(s):  
Heat Flux ◽  
Initial Phase ◽  
Bessel Functions ◽  
Thermal Stresses ◽  
Constant Heat Flux ◽  
Hollow Cylinders ◽  
Temperature Constant ◽  
The One ◽  
Transient Thermal ◽  
Bounding Surfaces

The stresses and displacements in the initial phase of applying a thermal load on the bounding surfaces of an orthotropic hollow circular cylinder are obtained using the Hankel asymptotic expansions for the Bessel functions of the first and second kind. Such a load may be constant temperature, constant heat flux, zero heat flux, or heat convection to a different medium at either surface. The material properties are assumed to be independent of temperature. A constant applied temperature at the one surface and convection into a medium at a different temperature at the other surface is used to illustrate the variation of stresses with time and through the thickness in the initial transient phase.

scholarly journals An External Circular Crack in an Infinite Solid Under Axisymmetric Heat Flux Loading in the Framework of Fractional Thermoelasticity

Entropy ◽  
2021 ◽  
Vol 24 (1) ◽  
pp. 70
Author(s):  
Yuriy Povstenko ◽  
Tamara Kyrylych ◽  
Bożena Woźna-Szcześniak ◽  
Renata Kawa ◽  
Andrzej Yatsko
Keyword(s):  
Heat Flux ◽  
Thermal Stresses ◽  
Time Derivative ◽  
Circular Crack ◽  
Constant Heat Flux ◽  
Circular Ring ◽  
Different Types ◽  
External Circular Crack ◽  
Fractional Heat Conduction ◽  
Real Solid

In a real solid there are different types of defects. During sudden cooling, near cracks, there can appear high thermal stresses. In this paper, the time-fractional heat conduction equation is studied in an infinite space with an external circular crack with the interior radius R in the case of axial symmetry. The surfaces of a crack are exposed to the constant heat flux loading in a circular ring R<r<ρ. The stress intensity factor is calculated as a function of the order of time-derivative, time, and the size of a circular ring and is presented graphically.

Transient Thermal Stresses in Cylindrically Orthotropic Composite Tubes

1989 ◽  
Vol 56 (2) ◽  
pp. 411-417 ◽  
Author(s):  
G. A. Kardomateas
Keyword(s):  
Circular Cylinder ◽  
Surface Temperature ◽  
Constant Temperature ◽  
Material Properties ◽  
Thermal Stresses ◽  
The Other ◽  
The One ◽  
Displacement Approach ◽  
Transient Thermal ◽  
Cylindrically Orthotropic

A solution is given for the stresses and displacements in an orthotropic, hollow circular cylinder, due to an imposed constant temperature on the one surface and heat convection into a medium of a different constant temperature at the other surface. Temperature-independent material properties are assumed and a displacement approach is used. Results for the variation of stresses with time and through the thickness are presented.

scholarly journals A Study of Temperature Distribution and Thermal Stresses in a Hot Rock Due to Rapid Cooling

2020 ◽  
Vol 142 (4) ◽  
Author(s):  
Tran X. Phuoc ◽  
Mehrdad Massoudi ◽  
Ping Wang ◽  
Mark L. McKoy
Keyword(s):  
Heat Flux ◽  
Temperature Distribution ◽  
Thermal Stresses ◽  
Initial Temperature ◽  
Constant Heat Flux ◽  
Surface Heat ◽  
Uniform Temperature ◽  
Constant Heat ◽  
Thermoelastic Response ◽  
Unit Depth

Abstract Thermal stresses may be induced in a hot dry rock when a cold fluid is injected in the well. To study this problem, we look at the thermoelastic response of a hot rock that is suddenly cooled. The cooling is assumed to be either at a constant temperature or at a constant heat flux per unit depth. Our approach is to nondimensionalize the equations and perform a parametric study and look at the temperature distribution and the induced-thermal stresses. The results indicate that depending on the extent of cooling and the cooling time, thermal stresses can be induced. Numerical simulations on sandstone, with an initial uniform temperature of 473 K, are also carried out. The results show that if the cooling is due to the surface temperature maintained at 463 K (10 °C lower than the initial temperature of the hot rock), thermal stresses that are larger than the rock tensile strength could be induced. When the cooling is due to a constant surface heat flux, this temperature can be reached after about 777 days of cooling with a minimum value of a heat flux of −20 W/m.

One-Dimensional Solutions for Transient Thermal Stresses in Functionally Graded Hollow Cylinders and Hollow Spheres

2008 ◽  
Author(s):  
Yoshihiro Ootao ◽  
Yoshinobu Tanigawa ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
Robert H. Dodds ◽  
...  
Keyword(s):  
Thermal Stresses ◽  
Hollow Spheres ◽  
Functionally Graded ◽  
One Dimensional ◽  
Hollow Cylinders ◽  
Transient Thermal

scholarly journals Semi-Analytical Solution of Functionally Graded Circular Short Hollow Cylinder Subject to Transient Thermal Loading

2014 ◽  
Vol 61 (3) ◽  
pp. 409-432 ◽  
Author(s):  
Jafar Eskandari Jam ◽  
Y. Rahmati Nezhad
Keyword(s):  
Analytical Solution ◽  
Hollow Cylinder ◽  
Thermal Loading ◽  
Thermal Stresses ◽  
Functionally Graded ◽  
Thermal Boundary Conditions ◽  
Numerical Laplace Inversion ◽  
Time Variations ◽  
Hollow Cylinders ◽  
Transient Thermal

Abstract In this paper, by using a semi-analytical solution based on multi-layered approach, the authors present the solutions of temperature, displacements, and transient thermal stresses in functionally graded circular hollow cylinders subjected to transient thermal boundary conditions. The cylinder has finite length and is subjected to axisymmetric thermal loads. It is assumed that the functionally graded circular hollow cylinder is composed of N fictitious layers and the properties of each layer are assumed to be homogeneous and isotropic. Time variations of the temperature, displacements, and stresses are obtained by employing series solving method for ordinary differential equation, Laplace transform techniques and a numerical Laplace inversion.

scholarly journals Transient Thermoelastic Analysis of a Cylinder Having a Varied Coefficient of Thermal Expansion

2020 ◽  
Vol 64 (4) ◽  
pp. 273-278
Author(s):  
Olga Shypul ◽  
Vitalii Myntiuk
Keyword(s):  
Heat Flux ◽  
Thermal Expansion ◽  
Coefficient Of Thermal Expansion ◽  
Linear Thermal Expansion ◽  
Transient State ◽  
Maximum Temperature ◽  
Stress Distributions ◽  
One Dimensional ◽  
The One ◽  
Transient Thermal

This paper is concerned with the mathematical modeling of transient thermal elastic problem involving a layered cylinder with a varied coefficient of thermal expansion and powered by a heat flux from an external surfaces. All material's properties are the same for each cylinder's layers, besides the coefficient of linear thermal expansion which is varied and corresponds to hardened and unhardened layers. An obtained solution is a transient state of a heat transfer for the one-dimensional temperature change under the action of heat flux in continuous time. Cumbersome analytical solutions are converted into simple approximation. They are used to solve the inverse problems of the thermal stressed state–determining the time of action of the heat flux to achieve the specified maximum temperature or stress. Some numerical results for the stress distributions are shown in figures.

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