Techno Press
Techno Press

Steel and Composite Structures   Volume 21, Number 6, August30 2016, pages 1389-1410
DOI: http://dx.doi.org/10.12989/scs.2016.21.6.1389
 
Hybrid of topological derivative-based level set method and isogeometric analysis for structural topology optimization
Mehdi Roodsarabi, Mohsen Khatibinia and Seyyed R. Sarafrazi

 
Abstract     [Full Text]
    This paper proposes a hybrid of topological derivative-based level set method (LSM) and isogeometric analysis (IGA) for structural topology optimization. In topology optimization a significant drawback of the conventional LSM is that it cannot create new holes in the design domain. In this study, the topological derivative approach is used to create new holes in appropriate places of the design domain, and alleviate the strong dependency of the optimal topology on the initial design. Furthermore, the values of the gradient vector in Hamilton-Jacobi equation in the conventional LSM are replaced with a Delta function. In the topology optimization procedure IGA based on Non-Uniform Rational B-Spline (NURBS) functions is utilized to overcome the drawbacks in the conventional finite element method (FEM) based topology optimization approaches. Several numerical examples are provided to confirm the computational efficiency and robustness of the proposed method in comparison with derivative-based LSM and FEM.
 
Key Words
    topology optimization; level set method; topological derivative; isogeometric analysis
 
Address
Department of Civil Engineering, University of Birjand, Birjand, Republic Islamic of Iran.
 

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