Numerical Procedure for Elasto-Plastic No-Tension Model

Abstract

In the present work a generalization of the classical elastic no-tension model accounting for irreversible crushing strains is proposed. The model considers limited tensile and compressive strength; in particular, fracture strain arises when the tensile strength is reached, while plastic strain can be developed because of the limited compressive strength. As a consequence, inelastic strains are partitioned into the sum of a positive semi-definite fracture strain and a plastic (crushing) strain, which are both assumed to fulfill a normality rule. A numerical procedure, based on the backward Euler time-integration scheme, is proposed; the time step is solved adopting a strain driven predictor-corrector scheme. The consistent no-tension elastoplastic tangent is computed. Then, the model is implemented in a finite element code. Numerical applications, concerning the study of the behavior of some significative masonry structures, are presented.