scholarly journals Erratum to “Analytical Solution for the Lifetime of a Spherical Shell of Arbitrary Thickness Under the Pressure of Corrosive Environments: The Effect of Thermal and Elastic Stresses”

2021 ◽  
pp. 1-1
Author(s):  
Yulia G. Pronina ◽  
Olga S. Sedova
Keyword(s):  
Analytical Solution ◽  
Spherical Shell ◽  
Applied Mechanics ◽  
Elastic Stresses ◽  
Arbitrary Thickness ◽  
Corrosive Environments

Abstract This note is to correct errata in the paper “quot;Analytical Solution for the Lifetime of a Spherical Shell of Arbitrary Thickness Under the Pressure of Corrosive Environments: The Effect of Thermal and Elastic Stresses”quot; published in Journal of Applied Mechanics, Vol.~88, P.~061004 (2021), doi: 10.1115/1.4050280.

Analytical solution for the lifetime of a spherical shell of arbitrary thickness under the pressure of corrosive environments: The effect of thermal and elastic stresses

2021 ◽  
pp. 1-25
Author(s):  
Yulia G. Pronina ◽  
Olga S. Sedova
Keyword(s):  
Corrosion Rate ◽  
Spherical Shell ◽  
Stress Component ◽  
Equivalent Stress ◽  
Circumferential Stress ◽  
Thermoelastic Stress ◽  
Decisive Role ◽  
Process Conditions ◽  
Corrosive Media ◽  
Arbitrary Thickness

Abstract The paper presents analytical solutions to initial boundary value problems of thermoelasticity with a priori unknown evolving boundaries. To be more precise, we consider a spherical shell of arbitrary thickness subjected to the internal and external pressures of corrosive media at generally different temperatures, with taking into account the mechanochemical effect and inhibition of corrosion process. Conditions under which the circumferential stress can serve as the equivalent stress are determined. It was found that the life of the shell was influenced by the competing effects of the pressures and temperatures on the corrosion rate and stress values, as well as by possible moving the location of the maximal stress. It was also concluded that the elastic stress component played a decisive role in the synergistic growth of the total thermoelastic stress and the corrosion rate.

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.

Stress Distribution in a Rotating Spherical Shell of Arbitrary Thickness

1961 ◽  
Vol 28 (1) ◽  
pp. 127-131 ◽  
Author(s):  
M. A. Goldberg ◽  
V. L. Salerno ◽  
M. A. Sadowsky
Keyword(s):  
Exact Solution ◽  
Stress Intensity ◽  
Stress Distribution ◽  
Spherical Shell ◽  
Maximum Stress ◽  
Elastic Spherical Shell ◽  
Arbitrary Thickness ◽  
Maximum Stress Intensity ◽  
Thickness Parameter

This paper contains an exact solution for the stress distribution in an elastic spherical shell rotating about a diametral axis. The surfaces of the shell are free of boundary tractions. The coefficients necessary to determine the stresses at any point have been calculated for eight values of a thickness parameter, α. Graphs of the maximum stress intensity as a function of α are presented.

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