Thermal stresses in a spherical shell with a ring of equal circular holes

1974 ◽  
Vol 6 (6) ◽  
pp. 657-662
Author(s):  
R. N. Shvets ◽  
V. D. Pavlenko ◽  
L. V. Sinishin
Keyword(s):  
Spherical Shell ◽  
Thermal Stresses ◽  
Circular Holes

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
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