a b s t r a c tThe paper presents an analytical solution to Lamé's problem for a hollow sphere with unknown evolving boundaries. The double-sided uniform corrosion of a linearly elastic thick-walled spherical shell under internal and external pressure is considered. It is assumed that the corrosion rates are piecewise linear functions of the maximum principal stress on the related surface, and exponentially decaying with time. The corrosion process is supposed to be divided into three successive stages: constant rate double-sided corrosive wear, a stage of corrosion accelerated on only one of the surfaces of the shell, and a double-sided mechanochemical corrosion. Closed-formed expressions for all the consecutive stages are obtained with their junction points (corresponding to stress corrosion thresholds) being taken into account.
The paper concerns the problem of the double-sided mechanochemical corrosion of an elastic thick-walled sphere subjected to internal and external pressure. The corrosion rates on the inner and outer surfaces are assumed to be exponentially dependent on time and linearly dependent on the equivalent stress. Two analytical solutions are compared: one of them is developed by the use of the maximum principal stress and the second uses the von Mises stress for the equivalent stress. It is shown that the model using the maximum principal stress reflects the effect of hydrostatic pressure on the lifetime of the shell.
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