Durability of an Elastic Bar Under Tension With Linear or Nonlinear Relationship Between Corrosion Rate and Stress

Abstract

In this study we investigate the durability of a bar subjected to tension in the presence of corrosion. Various possible relationships are considered between the corrosion velocity and stress. We concentrate on linear, quadratic, purely cubic, and genet al cubic relationships. Closed-form expressions are obtained for the structure's durability, which is identified with time to failure, with failure defined as the stress reaching the yield level. Among other things, we evaluate the validity of the assumption that the average diameter of the bar remains constant, as suggested by Dolinskii (1967, "Analysis of Loaded Tubes Subjected to Corrosion," Khimicheskoe I Neftianoe Mashinostroenie (Chemical and Oil Machinery), 2, pp. 9-10, (in Russian)). We show that in certain circumstances this assumption may lead to an unacceptably large error. Q pf '" Eq, (7) is a first order differential equation with variable coefficients. We integrate Eq, (7) to get da{t) -vo -ma{t)WQlna{t) + R; R~ Jo = dt (8) Eq. (8) results in Journal of Applied Mechanics

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

“…Furthermore, unlike the present article, previous publications [16][17][18][19] have not considered stress corrosion thresholds. The effect of threshold stresses has only been indirectly reflected in the nonlinear -v relations used by Bergman et al [2] and Elishakoff et al [5].…”

“…Experimental data show the existence of a stress corrosion threshold, after which mechanical stress can accelerate corrosion [5,8,15]. In such cases, the stresses can change due to the reduction in the size of the solid, and the changing stresses, in turn, enhance the corrosion process.…”

“…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.…”

Comment on “New understanding of the effect of hydrostatic pressure on the corrosion of Ni–Cr–Mo–V high strength steel”

“…In other words, it is useful to find out whether the third stage -"formation of uniform corrosion" [1] -is just a final act (i.e., only result) of the second stage (pit coalescence) or if this is a new long period of general corrosion and for approximate strength analysis we can use some idealized models of uniform corrosion as previously described [15][16][17][18]. Also, it would be interesting to determine the dependency of corrosion rate on pressure before the formation of uniform wear, e.g., to build up the diagrams like in Fig.…”

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].…”