Temperature field in a half-space with a foreign inclusion

1988 ◽  
Vol 55 (6) ◽  
pp. 1431-1436 ◽  
Author(s):  
Yu. M. Kolyano ◽  
Yu. M. Krichevets ◽  
E. G. Ivanik ◽  
V. I. Gavrysh
Keyword(s):  
Temperature Field ◽  
Half Space ◽  
Foreign Inclusion

scholarly journals The axisymmetric Boussinesq-type problem for a half-space under optimal heating of arbitrary profile

2004 ◽  
Vol 2004 (40) ◽  
pp. 2123-2131
Author(s):  
J. Rokne ◽  
B. M. Singh ◽  
R. S. Dhaliwal ◽  
J. Vrbik
Keyword(s):  
Temperature Field ◽  
Half Space ◽  
Analytical Method ◽  
Thermal Stresses ◽  
Type Problem ◽  
Total Load ◽  
Arbitrary Profile ◽  
Laplace And Hankel Transforms ◽  
Transient Thermal ◽  
Optimal Heating

A solution of the axisymmetric Boussinesq-type problem is derived for transient thermal stresses in a half-space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions. Several simple shapes of punches of arbitrary profile are considered and an expression for the total load is derived to achieve penetration. The numerical results for the temperature and the total load on the punch are shown graphically.

scholarly journals Anisotropic Half-Space Temperature Field with its Moving Boundary Being under Local Pulse-periodic Heat Action in Heat Exchange Conditions with External Environment

2018 ◽  
pp. 19-32
Author(s):  
A. V. Attetkov ◽  
I. K. Volkov
Keyword(s):  
Thermal Conductivity ◽  
Temperature Field ◽  
Heat Exchange ◽  
Half Space ◽  
Mathematical Theory ◽  
Moving Boundary ◽  
External Environment ◽  
Engineering Application ◽  
Test Problems ◽  
Anisotropic Thermal Conductivity

A noticeably raising interest in analytical research methods in the mathematical theory of the thermal conductivity of solids [1-3] was initiated by various causes, among which, as the most significant, special mention should go to the widespread practical engineering application of computer technology, mathematical modelling techniques and anisotropic materials of various origin. At present, the "anisotropic section" [3, 4] holds a most unique position in the mathematical theory of the thermal conductivity of solids, due both to the specificity of the mathematical models used in it, and to the fair-minded development need in fundamentally new high-performance and absolutely stable computational methods [4-6] to solve real, practically important engineering tasks.The spectrum of practical use of solutions to problems of the mathematical theory of the thermal conductivity, presented in an analytically closed form, is quite wide. In particular, such solutions are used to test new computational algorithms, and the problems generating these solutions are called test problems. And if in the traditional sections of the mathematical theory of the thermal conductivity a set of test problems is very extensive [1-3, 7], then test problems of the "anisotropic thermal conductivity" in regions with fixed and moving boundaries are inconsiderable in number [4, 8-14].The main objective of the research is to solve the problem of determining the temperature field of an anisotropic half-space, the boundary of which moves linearly and is subject to local pulse-periodic thermal action under conditions of heat exchange with the external environment.

The thermally stressed state of a half-space with a cylindrical foreign inclusion

1993 ◽  
Vol 63 (3) ◽  
pp. 340-344 ◽  
Author(s):  
Yu. M. Krichevest ◽  
E. G. Ivanik ◽  
I. R. Tatchin
Keyword(s):  
Stressed State ◽  
Half Space ◽  
Foreign Inclusion ◽  
Thermally Stressed State ◽  
Thermally Stressed

scholarly journals Influence of spatial inhomogeneity of environment temperature on temperature oscillations and thermocyclic stresses in elastic half-space

2019 ◽  
Vol 196 ◽  
pp. 00027
Author(s):  
Maxim Supel’nyak
Keyword(s):  
Heat Transfer ◽  
Temperature Field ◽  
Half Space ◽  
Double Fourier Series ◽  
Elastic Half Space ◽  
Spatial Inhomogeneity ◽  
Quasistatic Problem ◽  
Temperature Oscillations ◽  
Environment Temperature ◽  
Deformed State

Elastic half-space on which surface the heat transfer follows the Newton-Richmann law where enviroment temperature is a periodic function of time and spatial variable is investigated. A temperature field and a stressed deformed state of half-space is found after the solution of a quasistatic problem of thermoelasticity. The solution is received in the form of double Fourier series.

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