Vademecum-based approach to multi-scale topological material design

The work deals on computational design of structural materials by resorting to computational homogenization and topological optimization techniques. The goal is then to minimize the structural (macro-scale) compliance by appropriately designing the material distribution (microstructure) at a lower s...

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Detalles Bibliográficos
Autores: Ferrer Ferré, Àlex|||0000-0003-1011-0230, Oliver Olivella, Xavier|||0000-0001-8717-1483, Cante Terán, Juan Carlos|||0000-0002-9887-4448, Lloberas Valls, Oriol|||0000-0001-8405-8725
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/89387
Acceso en línea:https://hdl.handle.net/2117/89387
https://dx.doi.org/10.1186/s40323-016-0078-4
Access Level:acceso abierto
Palabra clave:Multiscale modeling--Computer simulation
COMP-DES-MAT Project
COMPDESMAT Project
Topological optimization
Multiscale material design
Computational Vademecum
Topological derivative
Finite element modelling
Modelització en etapes múltiples
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
Descripción
Sumario:The work deals on computational design of structural materials by resorting to computational homogenization and topological optimization techniques. The goal is then to minimize the structural (macro-scale) compliance by appropriately designing the material distribution (microstructure) at a lower scale (micro-scale), which, in turn, rules the mechanical properties of the material. The specific features of the proposed approach are: (1) The cost function to be optimized (structural stiffness) is defined at the macro-scale, whereas the design variables defining the micro-structural topology lie on the low scale. Therefore a coupled, two-scale (macro/micro), optimization problem is solved unlike the classical, single-scale, topological optimization problems. (2) To overcome the exorbitant computational cost stemming from the multiplicative character of the aforementioned multiscale approach, a specific strategy, based on the consultation of a discrete material catalog of micro-scale optimized topologies (Computational Vademecum) is used. The Computational Vademecum is computed in an offline process, which is performed only once for every constitutive-material, and it can be subsequently consulted as many times as desired in the online design process. This results into a large diminution of the resulting computational costs, which make affordable the proposed methodology for multiscale computational material design. Some representative examples assess the performance of the considered approach.