Thermal stresses in the vicinity of a circular hole in a spherical shell in the presence of heat emission

1973 ◽  
Vol 6 (3) ◽  
pp. 366-370
Author(s):  
R. N. Shvets ◽  
V. D. Pavlenko
Keyword(s):  
Spherical Shell ◽  
Circular Hole ◽  
Thermal Stresses ◽  
Heat Emission

Axisymmetric Thermal Stresses in a Spherical Shell of Arbitrary Thickness

1957 ◽  
Vol 24 (3) ◽  
pp. 376-380
Author(s):  
E. L. McDowell ◽  
E. Sternberg
Keyword(s):  
Steady State ◽  
Spherical Shell ◽  
Spherical Cavity ◽  
Series Solution ◽  
Thermal Stresses ◽  
Solid Sphere ◽  
Theory Of Elasticity ◽  
Infinite Medium ◽  
Series Solutions ◽  
Arbitrary Thickness

Abstract This paper contains an explicit series solution, exact within the classical theory of elasticity, for the steady-state thermal stresses and displacements induced in a spherical shell by an arbitrary axisymmetric distribution of surface temperatures. The corresponding solutions for a solid sphere and for a spherical cavity in an infinite medium are obtained as limiting cases. The convergence of the series solutions obtained is discussed. Numerical results are presented appropriate to a solid sphere if two hemispherical caps of its boundary are maintained at distinct uniform temperatures.

Optimal control of heating a spherical shell with constraints on thermal stresses

1978 ◽  
Vol 14 (9) ◽  
pp. 919-925
Author(s):  
V. M. Vigak ◽  
A. A. Fedorishin ◽  
A. I. Pilyavskii
Keyword(s):  
Optimal Control ◽  
Spherical Shell ◽  
Thermal Stresses

Inhomogeneous reinforcement of a circular hole in a spherical shell

1977 ◽  
Vol 13 (6) ◽  
pp. 624-627
Author(s):  
A. A. Syas'kii ◽  
D. I. Yarema
Keyword(s):  
Spherical Shell ◽  
Circular Hole

scholarly journals Thermal Stresses of the Elastic Plane with a Circular Hole, Including One Heat Source

1971 ◽  
Vol 14 (73) ◽  
pp. 624-628 ◽  
Author(s):  
Kiyoshi FUKUI ◽  
Tsuyoshi FUKUI ◽  
Hiroyoshi KAIBORI
Keyword(s):  
Heat Source ◽  
Circular Hole ◽  
Thermal Stresses ◽  
Elastic Plane

Thermostatics of an elastic Cosserat plate containing a circular hole

1971 ◽  
Vol 70 (1) ◽  
pp. 169-174 ◽  
Author(s):  
İ. T. Gürgöze
Keyword(s):  
Temperature Gradient ◽  
General Theory ◽  
Circular Hole ◽  
Thermal Stresses ◽  
Plate Theory ◽  
The Other ◽  
Uniform Temperature ◽  
Classical Plate Theory ◽  
Cosserat Surface ◽  
Limiting Case

AbstractIn this paper, the general theory of a Cosserat surface given by Green, Naghdi and Wainwright(1), has been applied to the problem of a thermo-elastic Cosserat plate containing a circular hole of radius a. We assume that the major surfaces of the plate and the boundary of the hole are thermally insulated and that a uniform temperature gradient τ exists at infinity. In the limiting case, when h/a → 0, where h is the thickness of the plate, the thermal stresses at the circular hole reduce to those obtained by Florence and Goodier (4), by means of the classical plate theory. Results for the other limiting case h/a → ∞ are also given.

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