Structural concrete analysis using rigid-body-spring networks

This article presents a new computational approach for supporting the desig n of structural concrete. The main purpose of this research is to facilitat e 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 locati ons and widths. Concrete material is represented by a rigid-body-spring net work whose geometry is defined by a Voronoi diagram on randomly distributed points. Random geometry of the network reduces mesh bins on potential crac king directions. Concrete cracking is modeled using an energetic fracture m echanics approach that is objective with respect to network component densi ty and random geometry. Reinforcing material may assume any piecewise linea r trajectory and is positioned irrespective of the spring network defining the concrete material. Viability of the approach is demonstrated through el astic stress analyses and ultimate failure analyses of T-shape bridge piers subjected to eccentric loading.