Concurrent topology optimization design of material and structure within FE2 nonlinear multiscale analysis framework

By Liang Xia, Piotr Breitkopf. 2014

341 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/67041359664cf4b2abf25a611c7390da414dd097

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method (2016, methodology): “On the other hand, after the groundbreaking contribution of Bendsoe and Kikuchi [6] in which the homogenization method is used to design optimal topology structures several authors have dabbled into this actual research topic [1, 21, 55, 106, 128].”
Current and future trends in topology optimization for additive manufacturing (2018, background): “…Guo et al. 2015; Deng et al. 2013; Fujii et al. 2001; Zhang and Sun 2006; Liu et al. 2008) and heterogeneous (Coelho et al. 2008, 2011; Rodrigues et al. 2002; Xia and Breitkopf 2014, 2015; Wang et al. 2017c; Sivapuram et al. 2016) lattice infill have been studied through the two-scale optimization.”
Deep Generative Modeling for Mechanistic-based Learning and Design of Metamaterial Systems (2020, background): “State-of-the-art multiscale designs of systems with periodic microstructures [9-14] rely on nested optimization frameworks that are computationally demanding and do not scale to heterogeneous designs.”
Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review (2016, methodology): “53 Illustration of simultaneous topology optimization of structure the underlying materials [145]”
Multiscale structural topology optimization with an approximate constitutive model for local material microstructure (2015, neutral): “2 Multiscale structural topology optimization [4] Let ρ ( x ) and η ( x , y ) denote the design variables at the two scales, respectively.”
Design of graded lattice structure with optimized mesostructures for additive manufacturing (2018, background): “The other more critical issue is the lack of connectivity between two neighboring optimized mesostructures, due to the decoupled design process [12].”