Asphalt mixture has been used as impermeable core rockfill dams since 1930. Since then, studies have been developed, searching an improvement of the main characteristics of the asphalt mixture, such as grading, bitumen content and volume ratio, allowing to obtain an asphalt material of higher density and less permeability than 10-9 cm s. Techniques and constructive procedures of these dams have advantages when are compared to known dams. The core materials, rockfill and transitions can be represented by appropriate constitutive models and the behavior of rockfill dams with an asphaltic concrete core (BENCA) can be reproduced by computational tools. The present work presents a study about the type dams (BENCA), using the finite elements computer program PLAXIS. The program was calibrated and validated from results of field measurements of Megget Reservoir, built in Scotland (1981). A study on the influence of core inclination in the strength and deformability of rockfill dams is presented and discussed. Finally, it is presented the numerical prediction of the behavior of the Foz de Chapecó dam that is the first dam built with this technique in Brazil (2010). The results were consistent with the behavior observed in field, indicating that the program and the adopted constitutive models allow the prediction of the behavior of rockfill dams with asphalt concrete core.