A coupled damage-plasticity model for concrete based on thermodynamic principles: Part II: non-local regularization and numerical implementation

Abstract

<jats:title>Abstract</jats:title><jats:p>Non‐local regularization is applied to a new coupled damage–plasticity model (<jats:italic>Int. J. Numer. Anal. Meth. Geomech.</jats:italic> 2007; DOI: 10.1002/nag.627), turning it into a non‐local model. This procedure resolves softening‐related problems encountered in local constitutive models when dealing with softening materials. The parameter identification of the new non‐local coupled damage–plasticity model is addressed, with all parameters being shown to be obtainable from the experimental data on concrete. Because of the appearance of non‐local spatial integrals in the constitutive equations, a new implementation scheme is developed for the integration of the non‐local incremental constitutive equations in nonlinear finite element analysis. The performance of the non‐local model is assessed against a range of two‐dimensional structural tests on concrete, illustrating the stability of the stress update procedure and the lack of mesh dependency of the model. Copyright © 2007 John Wiley &amp; Sons, Ltd.</jats:p>