The paper compares two analytical solutions for the equal-rate mechanochemical corrosion of an elastic spherical shells subjected to internal and external pressure. Results based on the G. Lame’s formulas for a pressurized thick hollow sphere and on the thin-walled spherical shell model are analyzed when applied to relatively thin shells. The rates of corrosion at the inner and outer surfaces are supposed to be proportional to the maximum principal stress at the surface involved.

1.
P. A.
Pavlov
,
B. A.
Kadyrbekov
, and
V. A.
Kolesnikov
,
Strength of Steels in Corrosive Environments
,
Nauka
,
Alma-Ata
,
1987
, pp.
207
213
.
(in Russian
).
2.
A. I.
Rusanov
, “
Mechanochemistry of dissolution: Kinetic aspect
,”
Russ. J. Gen. Chem.
77
(
4
),
491
502
(
2007
).
3.
V. M.
Dolinskii
, “
Calculations on loaded tubes exposed to corrosion
,”
Chem. Petroleum Eng.
3
(
2
),
96
97
(
1967
).
4.
V. G.
Karpunin
,
S. I.
Kleshchev
, and
M. S.
Kornishin
, “
Calculation of plates and shells taking general corrosion into account
,” in
Proceedings, 10th All-Union Conference of the Theory of Shells and Plates
,
1
,
Tbilisi
,
1975
, pp.
166
174
.
5.
E. M.
Gutman
,
J.
Haddad
, and
R. M.
Bergman
, “
Stability of thin-walled high-pressure vessels subjected to uniform corrosion
,”
Thin-Walled Struct.
38
,
43
52
(
2000
).
6.
R. M.
Bergman
,
S. P.
Levitsky
,
J.
Haddad
 et al., “
Stability loss of thin-walled cylindrical tubes, subjected to longitudinal compressive forces and external corrosion
,”
Thin-Walled Struct.
44
(
7
),
726
729
(
2006
).
7.
Y. G.
Pronina
, “
Estimation of the life of an elastic tube under the action of a longitudinal force and pressure under uniform surface corrosion conditions
,”
Russ. Metallurgy (Metally)
2010 (
4
),
361
364
(
2010
).
8.
Y. G.
Pronina
, “
Thermoelastic stress analysis for a tube under general mechanochemical corrosion conditions
,” in
Proceedings of the 4th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2011
, edited by
M.
Papadrakakis
 et al.,
Int. Center for Numerical Methods in Engineering (CIMNE)
,
2011
, pp.
1408
1415
.
9.
Y. G.
Pronina
, “
Analytical solution for the general mechanochemical corrosion of an ideal elastic-plastic thick-walled tube under pressure
,”
Int. J. Solids Struct.
50
(
22-23
),
3626
3633
(
2013
).
10.
Y. G.
Pronina
, “
Lifetime assessment for an ideal elastoplastic thick-walled spherical member under general mechanochemical corrosion conditions
,” in
Computational Plasticity XII: Fundamentals and Applications
, edited by
E.
Onate
 et al.,
Proceedings of the 12th Int. Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS XII
,
2013
, pp.
729
738
.
11.
E. B.
Voronkova
,
S. M.
Bauer
,
A.
Eriksson
, “
Nonclassical theories of shells in application to soft biological tissues
,”
Advanced Struct. Mater.
15
,
647
654
(
2011
).
12.
P. E.
Tovstik
,
T. P.
Tovstik
, “
Two-dimensional linear model of elastic shell accounting for general anisotropy of material
,”
Acta Mechanica
225
(
3
),
647
661
(
2014
).
13.
Y. E.
Balykina
,
E. P.
Kolpak
,
E. D.
Kotina
, “
Mathematical model of thyroid function
,”
Middle - East J. Sci. Research
19
(
3
),
429
433
(
2014
).
14.
I. V.
Zhukova
,
E. P.
Kolpak
,
Y. E.
Balykina
, “
Mathematical model of growing tumor
,”
Appl. Math. Sci.
8
(
29–32
),
1455
1466
(
2014
).
15.
I.
Paczelt
,
S.
Kucharski
, and
Z.
Mroz
, “
The experimental and numerical analysis of quasi-steady wear processes for a sliding spherical indenter
,”
Wear
274–275
,
127
148
(
2012
).
16.
O. S.
Sedova
, and
Y. G.
Pronina
, “
Initial boundary value problems for mechanochemical corrosion of a thick spherical member in terms of principal stress
,” in
International Conference of Numerical Analysis and Applied Mathematics-2014
,
AIP Conference Proceedings
,
American Institute of Physics
,
New York
,
2014
. (This volume. In print).
This content is only available via PDF.
You do not currently have access to this content.