Eventos Anais de eventos
MecSol 2017
6th International Symposium on Solid Mechanics
OPTIMAL DISTRIBUTION OF A HOLLOW SPHERE MATERIAL APPLIED TO THE DESIGN OF THREE DIMENSIONAL STRUCTURE WITH MINIMUM VOLUME CONSIDERING STRESS CONSTRAINTS
Submission Author:
Bruno Guilherme Christoff , SC
Co-Authors:
Luiz Fernando Dos Santos Souza, Eduardo Lenz Cardoso, Ricardo De Medeiros
Presenter: Bruno Guilherme Christoff
doi://10.26678/ABCM.MecSol2017.MSL17-0052
Abstract
This work describes a methodology to design optimal lightweight structures comprised of a hollow-sphere cellular material. The objective is to minimize the structural volume while respecting strength limits associated to this specific type of micro structure. The effective elastic properties of the cellular material are obtained by means of the homogenization by asymptotic expansion and the failure criteria is the well-known Tsai-Wu stress criteria. Computational simulation, by using commercial software, is carried out to simulate mechanical testing using a hollow sphere material in order to obtain the limit average macroscopic stresses. Thus, by varying the geometrical parameters of the hollow spheres it is possible to adjust equations relating the effective properties of the media to these parameters, as well as equations relating the strength parameters. The Augmented Lagrangian method is used in order to solve the constrained problem and as optimization solver, a modified descent direction algorithm is adopted. The results show that the optimal distribution of hollow spheres is consistent with the expected material distribution.
Keywords
Cellular Materials, Hollow Sphere Structures, Topology optimization
