Calculations on loaded tubes exposed to corrosion

Generalization of the Lamé problem for three-stage decelerated corrosion process of an elastic hollow sphere

“…Let the inner radius r at t = t II be denoted by r II . The corrosion rates at this stage are described by (1) and (4). Integrating (1) with the condition r(t II ) = r II yields…”

“…The inner and outer radii of the sphere are denoted by r and R, respectively; r(0) = r 0 and R(0) = R 0 are these radii at the initial time t = 0. The corrosion velocities on the inside and outside, denoted by v r and v R , respectively, can be approximated by the expressions [4,15]:…”

“…There are only a few publications where closed-formed expressions have been found. Among them are [2,4,5,9,12,16]. In [19], the solution for the corrosion of an ideal elastic-plastic spherical shell was developed with a linear relation between the rate of corrosion and the von Mises stress.…”

A New Model for the Mechanochemical Corrosion of a Thin Spherical Shell

“…In the case when the corrosion is understood as a uniform dissolution, there are a few works reporting closed-formed expressions, see, e.g., [3][4][5][6][7][8][9]. Stress-assist chemical reactions sustained by diffusion in deformable solids were modeled in [10][11][12][13].…”

“…The corrosion process affects the shell sizes: the inner radius increases while the outer radius decreases from the initial time t 0 values denoted respectively by r 0 and R 0 . According to [1,3], the rates of corrosion on the inner and outer surfaces are:…”