Thermal Stresses Due to Disturbance of Uniform Heat Flow by an Insulated Ovaloid Hole

1960 ◽  
Vol 27 (4) ◽  
pp. 635-639 ◽  
Author(s):  
A. L. Florence ◽  
J. N. Goodier
Keyword(s):  
Heat Flow ◽  
Closed Form ◽  
Thermal Stresses ◽  
Thermoelastic Problem ◽  
Uniform Heat ◽  
Special Cases

The linear thermoelastic problem is solved for a uniform heat flow disturbed by a hole of ovaloid form, which includes the ellipse and circle as special cases. Results for stress and displacement are found in closed form, by reducing the problem to one of boundary loading solvable by a method of Muskhelishvili.

Thermal Stresses in a Generally Anisotropic Body With an Elliptic Inclusion Subject to Uniform Heat Flow

1998 ◽  
Vol 65 (1) ◽  
pp. 51-58 ◽  
Author(s):  
C. K. Chao ◽  
M. H. Shen
Keyword(s):  
Heat Flow ◽  
Thermal Stresses ◽  
Anisotropic Body ◽  
Analytical Continuation ◽  
Complex Matrix ◽  
Elliptic Inclusion ◽  
Uniform Heat ◽  
Special Cases ◽  
The Matrix ◽  
Stress Functions

A general analytical solution for the elliptical anisotropic inclusion embedded in an infinite anisotropic matrix subjected to uniform heat flow is provided in this paper. Based upon the method of Lekhnitskii formulation, the technique of conformal mapping, the method of analytical continuation, and the concept of superposition, both the solutions of the temperature and stress, functions either in the matrix or in the inclusion are expressed in complex matrix notation. Numerical results are carried out and provided in graphic form to elucidate the effect of material and geometric parameters on the interfacial stresses. Since the general solutions have not been found in the literature, comparison is made with some special cases of which the analytical solutions exist, which shows that our solutions presented here are exact and general.

scholarly journals On the Thermal Stresses of an Infinite Plate with an Infinite Row of Circular Inclusions under Uniform Heat Flow

1980 ◽  
Vol 23 (180) ◽  
pp. 849-856 ◽  
Author(s):  
Hidekazu ARAKI ◽  
Shunsuke SHIOYA ◽  
Mitsumasa MATSUDA
Keyword(s):  
Heat Flow ◽  
Thermal Stresses ◽  
Infinite Plate ◽  
Uniform Heat

216 Thermal Stresses in Bonded Dissimilar Plate with an Interface Crack under Uniform Heat Flow

2014 ◽  
Vol 2014.67 (0) ◽  
pp. _216-1_-_216-2_
Author(s):  
Kazuhiro ODA ◽  
Ryohei TSUTSUMI ◽  
Noriko TSUTSUMI
Keyword(s):  
Heat Flow ◽  
Interface Crack ◽  
Thermal Stresses ◽  
Uniform Heat
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