Martina Colombo of RSE’s Sustainable Development and Energy Sources Department participated in the International Symposium on Dams and Earthquakes in Athens on Sept. 13, where she presented a study on seismic analysis of concrete dams using the Extended Finite Element Method (XFEM) approach to analyze crack propagation.

In Italy the average age of existing concrete dams is about 65 years and there are few possibilities to design and build new dams. This means there is a strong need to keep existing dams in safe service conditions, considering particularly the effects of seismic loadings, not foreseen during the design. The modelling of the cracking behaviour of concrete dams during earthquakes is a challenging issue that can be tackled with models based either on the discrete crack or the smeared crack approach. As an alternative, the non-linear response of dams could be accounted for by means of geometric discontinuities, but in this case it is mandatory to previously define their position into the mesh; furthermore, it is not possible to reconstruct the trigger point and the crack propagation, but only to analyse the opening and sliding between the crack faces, evaluating their influence on the global stability of the structure.

In RSE paper, the Extended Finite Element Method (XFEM), a numerical technique in the context of the discrete crack approaches, has been adopted to analyse the propagation of cracks. In the last years this method, innovative in the world of dam engineering, has been implemented in the commercial fem code Abaqus: either a cohesive approach or an energetic approach based on the linear elastic fracture mechanics are available to describe the crack initiation and propagation. The XFEM can be very versatile to simulate cracks, since the crack propagation is not required to follow the element boundaries. The method allows to assign the position from which a crack will start, but it can also generate a crack without the trigger point, by defining the region in which the crack will initiate and propagate.

To verify the validity of the method, a simply supported plain concrete beam subject to imposed displacements has been considered; then, the cracking process of Koyna dam during the 1967 Koyna earthquake has been numerically simulated.

The results of the XFEM approach have been compared with those obtained with the concrete damage plasticity model, in the context of a smeared crack approaches.