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Steel and Composite Structures
  Volume 27, Number 1, April10 2018 , pages 27-33

Multi-material topology optimization of Reissner-Mindlin plates using MITC4
Thien Thanh Banh and Dongkyu Lee

    In this study, a mixed-interpolated tensorial component 4 nodes method (MITC4) is treated as a numerical analysis model for topology optimization using multiple materials assigned within Reissner-Mindlin plates. Multi-material optimal topology and shape are produced as alternative plate retrofit designs to provide reasonable material assignments based on stress distributions. Element density distribution contours of mixing multiple material densities are linked to Solid Isotropic Material with Penalization (SIMP) as a design model. Mathematical formulation of multi-material topology optimization problem solving minimum compliance is an alternating active-phase algorithm with the Gauss-Seidel version as an optimization model of optimality criteria. Numerical examples illustrate the reliability and accuracy of the present design method for multi-material topology optimization with Reissner-Mindlin plates using MITC4 elements and steel materials.
Key Words
    multi-materials topology optimization; MITC4; Reissner-Mindlin theory; finite element method; steel plate; shearlocking
Department of Architectural Engineering, Sejong University, Seoul 05006, Republic of Korea.

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