Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
TOPOLOGICAL DERIVATIVE IN THE TOPOLOGY OPTIMIZATION OF ARCH-GRAVITY DAMS
Submission Author:
Lucas Duarte , RJ
Co-Authors:
Lucas Duarte, Marcel Xavier
Presenter: Lucas Duarte
doi://10.26678/ABCM.COBEM2023.COB2023-0527
Abstract
Dam design has been a subject of study for centuries. Recently, great advances in this area were achieved with the support of computational tools. The topological derivative has proven to be a powerful tool due to its successful application in physics and engineering. Topics such as inverse problems, optimization of structures, and mechanical modeling of fracture evolution are cases where this concept has been used. The topological derivative quantifies the sensitivity of a given shape functional with respect to the nucleation of a topological perturbation in the domain, such as the insertion of holes, inclusions, and even fractures. In this work, this method will be used specifically to optimize structures subjected to hydrostatic pressure, focused on the design of the cross section of arch-gravity dams. The computational algorithm, which is based on the topological derivative concept and the level-set domain representation method in the context of plane elasticity, is used to solve the optimization problem. The numerical result achieved by this algorithm is capable of generating an arch geometry that resembles the characteristic cross sections of an arch dam. Therefore, the numerical result suggests that the Topological Derivative Method is suitable for the specific context of arch dam designs
Keywords
Topology optimization, Topological Derivative, Arch-Dams
