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Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials pp 21–47Cite as

Multi-objective Topology Optimization Design of Micro-structures

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 49))

Abstract

This contribution proposes a methodology for the multi-objective synthesis and/or topology optimization of microstructures based on the topological derivative concept. The macroscopic properties are estimated by a standard multi-scale constitutive theory where the macroscopic responses are volume averages of their microscopic counterparts over a Representative Volume Element (RVE). We introduce a macroscopic cost functional that combines the mechanical and thermal effects in a single expression, allowing to design an RVE satisfying a specific thermo-mechanical macroscopic behavior. The algorithm is of simple computational implementation and relies in a level-set domain representation method. The effectiveness of the proposed methodology is illustrated by a set of finite element-based numerical examples.

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Authors and Affiliations

  1. Departamento de Ingeniería Civil, Facultad Regional Córdoba UTN/FRC - CONICET, Universidad Tecnológica Nacional, Maestro M. López esq. Cruz Roja Argentina, X5016ZAA, Córdoba, Argentina

    Sebastián Miguel Giusti

  2. Laboratório Nacional de Computação Científica LNCC/MCT, Coordenação de Matemática Aplicada e Computacional, Av. Getúlio Vargas 333, Petrópolis, RJ, 25651-075, Brazil

    Antonio André Novotny

Authors
  1. Sebastián Miguel Giusti
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  2. Antonio André Novotny
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Correspondence to Sebastián Miguel Giusti .

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Editors and Affiliations

  1. Department of Mechanical Engineering, Santa Catarina State Uni. - UDESC, Joinville, Santa Catarina, Brazil

    Pablo Andrés Muñoz-Rojas

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Giusti, S.M., Novotny, A.A. (2016). Multi-objective Topology Optimization Design of Micro-structures. In: Muñoz-Rojas, P. (eds) Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials. Advanced Structured Materials, vol 49. Springer, Cham. https://doi.org/10.1007/978-3-319-04265-7_2

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  • DOI: https://doi.org/10.1007/978-3-319-04265-7_2

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  • Online ISBN: 978-3-319-04265-7

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