Eventos Anais de eventos
MECSOL 2019
7th International Symposium on Solid Mechanics
Free-checkerboard topology optimization using the generalized finite-volume theory
Submission Author:
Marcelo Oliveira Araujo , SE , Brazil
Co-Authors:
Marcelo Oliveira Araujo, Eduardo Lages, Márcio Cavalcante
Presenter: Marcelo Oliveira Araujo
doi://10.26678/ABCM.MECSOL2019.MSL19-0131
Abstract
In the gradient-based topology optimization algorithms based on the finite-element method is very common to observe some problems related to numerical instabilities, such as checkerboard pattern, local minima and mesh dependence. Possible solutions for the checkerboard pattern and mesh dependence issues are the adoption of higher order finite elements or filtering techniques. Basically, the checkerboard pattern is directly associated with the solution assumptions of the finite-element method, as the satisfaction of equilibrium equations and the compatibility conditions among elements established through the nodes, resulting in checkerboard optimized topologies. On the other hand, the finite-volume theory satisfies the equilibrium equations in the subvolume level, and the kinematic and static compatibilities are established through the subvolume adjacent interfaces, as expected from the Continuum Mechanics point of view. In this context, different approaches of topology optimization for compliance minimization based on the generalized finite-volume theory are proposed for continuum elastic structures, resulting in computational efficient tools and leading to checkerboard-free topologies.
Keywords
finite-volume theory, Topology optimization, checkerboard-free topologies, Compliance Minimization, continuum elastic structures
