Modelling crack propagation in concrete structures with a two scale approach

• Published in: International journal for numerical and analytical methods in geomechanics 2003-11, Vol.27 (13), p.1187-1205
• Main Authors: Haidar, Khalil, Dubé, Jean François, Pijaudier-Cabot, Gilles
• Format: Article
• Language: English
• Subjects: Applied sciences; Building structure; Buildings. Public works; Computation methods. Tables. Charts; concrete; Concrete structure; Construction (buildings and works); damage; Engineering Sciences; Exact sciences and technology; Mechanics; Mechanics of materials; multiscale approaches; Structural analysis. Stresses
• ISSN: 0363-9061; 1096-9853
• DOI: 10.1002/nag.318

A simplified computational technique based on a refined global–local method is applied to the failure analysis of concrete structures. The technique distinguishes the scale of the structure, modelled with large size finite elements, from the scale at which material non‐linearity occurs due to progressive cracking and macro‐crack propagation. The finite element solution is split into two parts: a linear elastic analysis on a coarse mesh over the entire structure and a non‐linear analysis over a small part of the structure where a dense finite element grid is employed. In the non‐linear calculation, a non‐local damage model is implemented. These two computations are coupled with the help of an iterative scheme. The size and location of the region where a non‐linear analysis is performed, is adapted to follow the development of the damage zone. Numerical examples of mode I fracture of concrete specimens with straight and curved cracks are presented. Copyright © 2003 John Wiley & Sons, Ltd.