Implementação computacional de modelos elastoplásticos para análise fisicamente não linear

Abstract

This master's thesis is concerned about the addition of classic constitutive models of plasticity into the computing environment INSANE (INteractive Structural ANalysis Environment), developed at the Department of Structural Engineering of the Federal University of Minas Gerais. The work starts with a discussion of the theoretical framework necessary for the implementation of the mathematical theory of plasticity. The main plasticity models used in engineering analysis are describedin detail: Tresca, von Mises, Mohr-Coulomb and Drucker-Prager. The models of Ottosen and Willam-Warnke used to study the behavior of the concrete are also described. The formulation of the constitutive models based on stress and hardening laws which a material may be subjected are showed. The return mapping algorithms, required for the integration of constitutive relations governing the behavior of the material in the context of computational plasticity, are discussed. Then, the necessary methodology to achieved objectives of this work, explaining the mainfeatures of INSANE system and the modules where the implementations were held. Several examples are presented, in order to illustrate the modeling possibilities provided by the plasticity models present in INSANE. The results of these analyzes are compared with those from the literature to veried the stability and accuracy of the models.