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Topology optimization of multiphase elastic plates with Reissner-Mindlin plate theory

  • Banh, Thanh T. (Department of Architectural Engineering, Sejong University) ;
  • Lee, Dongkyu (Department of Architectural Engineering, Sejong University) ;
  • Lee, Jaehong (Department of Architectural Engineering, Sejong University) ;
  • Kang, Joowon (Department of Architecture, Yeungnam University) ;
  • Shin, Soomi (Research Institute of Industrial Technology, Pusan National University)
  • Received : 2017.12.20
  • Accepted : 2018.06.18
  • Published : 2018.09.25

Abstract

This study contributes to evaluate multiphase topology optimization design of plate-like elastic structures with constant thickness and Reissner-Mindlin plate theory. Stiffness and adjoint sensitivity formulations linked to Reissner-Mindlin plate potential energy of bending and shear are derived in terms of multiphase design variables. Multiphase optimization problem is solved through alternative active-phase algorithm with Gauss-Seidel version as an optimization model of optimality criteria. Numerical examples verify efficiency and diversity of the present topology optimization method of Reissner-Mindlin elastic plates depending on multiphase and Poisson's ratio.

Keywords

Acknowledgement

Supported by : NRF (National Research Foundation of Korea)

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