Analytical model for non-uniform corrosion-induced concrete cracking

Abstract

Corrosion-induced concrete cracking is one of the major deterioration mechanisms for reinforced concrete structures, and the corrosion process is not uniform along the circumference of the reinforcement. To model the stress distribution in concrete and determine the initiation of concrete cracking, a realistic non-uniform corrosion model needs to be developed. In this paper, a time-dependent corrosion model, producing non-uniform expansion to concrete, is first established. The stresses in concrete are then formulated through the employment of complex functions. The time to initiation of concrete cracking is determined and related to a number of material, geometric and corrosion parameters. The derived analytical model is verified by comparing the results with those from experimental tests reported in the literature. It is concluded that this model is one of very few analytical models that can determine the stresses in concrete caused by non-uniform corrosion of the reinforcement.