TY - JOUR
T1 - Analytical sensitivity analysis for decoupling multi-scale topology optimization of composites
AU - Yachi, Daishun
AU - Kato, Junji
AU - Takase, Shinsuke
AU - Terada, Kenjiro
AU - Kyoya, Takashi
PY - 2013/12/1
Y1 - 2013/12/1
N2 - The present study proposes an analytical sensitivity analysis for a so-called multi-scale topology optimization introduced to minimization of compliance of three dimensional structural problems. The multi-scale topology optimization is a strategy to optimize topology of microstructures applying a decoupling multi-scale analysis based on a homogenization method. The stiffness of the macrostructure is maximized with a prescribed material volume of constituents under linear elastic regime. A gradient-based optimization strategy is applied and an analytical sensitivity approach based on the adjoint method is proposed to reduce the computational costs. It was verified from a series of numerical examples that the proposed method has great possibility for microscopic advanced material designs.
AB - The present study proposes an analytical sensitivity analysis for a so-called multi-scale topology optimization introduced to minimization of compliance of three dimensional structural problems. The multi-scale topology optimization is a strategy to optimize topology of microstructures applying a decoupling multi-scale analysis based on a homogenization method. The stiffness of the macrostructure is maximized with a prescribed material volume of constituents under linear elastic regime. A gradient-based optimization strategy is applied and an analytical sensitivity approach based on the adjoint method is proposed to reduce the computational costs. It was verified from a series of numerical examples that the proposed method has great possibility for microscopic advanced material designs.
KW - Adjoint sensitivity analysis
KW - Decoupling multi-scale analysis
KW - Homogenization
KW - Microstructures
KW - Multi-scale topology optimization
KW - Topology optimization
UR - http://www.scopus.com/inward/record.url?scp=84891953240&partnerID=8YFLogxK
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U2 - 10.11421/jsces.2013.20130022
DO - 10.11421/jsces.2013.20130022
M3 - Article
AN - SCOPUS:84891953240
VL - 2013
JO - Transactions of the Japan Society for Computational Engineering and Science
JF - Transactions of the Japan Society for Computational Engineering and Science
SN - 1344-9443
ER -