Formulação de modelos de dano tensorial para análise fisicamente não linear de estruturas de concreto submetidas a carregamentos monotônicos e cíclicos

Abstract

The present work aims to study the performance of constitutive models for orthotropic damage based on Damage Effect Tensors (DET) in the physically nonlinear static analysis of concrete structures subjected to monotonic and cyclic loading. For this, the INSANE (INteractive Structural ANalysis Environment) system was adopted as an implementation platform, that is a free and open source software developed at the Structural Engineering Department of the Federal University of Minas Gerais. The software expansion occurred from the deduction and implementation of damage effect tensors, according to proposals from different authors. These tensors were coupled to the smeared cracking constitutive model for plane stress state analysis. As for the load cycles, tools have been incorporated into the computational environment to include unload and reload paths from a variety of laws, such as secant, elastic, the concept of focal point and the stress-strain law prescribed by Popovics-Saenz. In order to understand the features and limitations of the new analysis devices, a range of numerical simulations was performed. Finally, the implemented resources were validated through the comparison between the numerical results and experimental curves obtained from the literature, evaluating structures under cyclic tension, cyclic compression and cyclic bending loading.