UL Formulation for Corrosion Effect on Cable State

Abstract

As those are typical cable characteristics that steel cables are susceptible to corrosion and tend to stress relaxation after long term service, it is essential to take those damage characteristics into account in structural analysis to obtain actual behavior of cable in service. By introducing Lemaitre’s equivalent strain principle and geometrical damage theory, the corrosion mechanism of cable was described by rational discount of the modulus of elasticity. A UL formulation for cable state was formulated after solving the boundary problem with the governing differential equation of the servicing cable. It is shown that corrosion and stress relaxation effects should not be ignored in the determination of in service cable state to ensure safety of the existing cable structures. With the proposed method, cable corrosion as well as stress relaxation has been taken into consideration, which leads to good precision and can meet the engineering requirements.