Structural concrete analysis using rigid-body-spring networks

This article presents a new computational approach for supporting the design of structural concrete. The main purpose of this research is to facilitate construction, interpretation, and revision of the analysis model through (I) highly automated mesh generation, (2) discrete modeling of the material components and cracking, (3) dependence on basic material parameters, and (4) graphic rendering of the response quantities, most notably crack locations and widths. Concrete material is represented by a rigid-body-spring network whose geometry is defined by a Voronoi diagram on randomly distributed points. Random geometry of the network reduces mesh bins on potential cracking directions. Concrete cracking is modeled using an energetic fracture mechanics approach that is objective with respect to network component density and random geometry. Reinforcing material may assume any piecewise linear trajectory and is positioned irrespective of the spring network defining the concrete material. Viability of the approach is demonstrated through elastic stress analyses and ultimate failure analyses of T-shape bridge piers subjected to eccentric loading.