A Linear Complementarity Numerical Approach to the Non-Convex Problem of Structures Environmentally Damaged and Strengthened by Cable-bracings Dedicated to Academician Blagovest Sendov's 80th anniversary

A computational treatment is presented for the mathematically rigorous analysis of civil engineering structures, which have been environmentally damaged and subsequently strengthened by cable-elements. The problem is treated as an inequality one, where the governing conditions are equalities as well as inequalities. The cable behavior is considered as nonconvex and nonmonotone one and is described by generalized subdifferential relations including loosening, elastoplastic fracturing and other effects. Using piece-wise linearization for the cable behavior, a linear complementarity problem, with a reduced number of unknowns, is solved by optimization algorithms. Finally, an example from Civil and Environmental Engineering praxis is presented. Keywords-Civil and Environmental Engineering; NonConvex Analysis; Computational Mechanics; Cable-braced structures; Optimization Algorithms;