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
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.