Elastoplastic constitutive modeling for concrete: a theoretical and computational approach

Abstract

Abstract This article presents a study of the plasticity model applicability to concrete in a theoretical framework that generalizes the formulation of constitutive models for physically nonlinear analysis of structures. In this sense, the theoretical framework for the computational implementation of the plasticity mathematical theory is described, detailing the models formulations capable to describe the inelastic behavior of concrete. The loading surfaces associated to Drucker Prager and Ottosen criterion are highlighted. Furthermore, the Cutting Plane return mapping algorithm, necessary to the integration of constitutive relations that govern the behavior of the material in the context of computational plasticity, is described. Finally, numerical simulations are presented, such as the direct tension loading and three-point bending tests. The results of these simulations are compared with those from the literature to verify the model stability and accuracy.

Keywords

• computational plasticity
• constitutive models
• hardening laws
• return mapping