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Steel and Composite Structures
  Volume 47, Number 3, May10 2023 , pages 365-374

Topology optimization of Reissner-Mindlin plates using multi-material discrete shear gap method
Minh-Ngoc Nguyen, Wonsik Jung, Soomi Shin, Joowon Kang and Dongkyu Lee

    This paper presents a new scheme for constructing locking-free finite elements in thick and thin plates, called Discrete Shear Gap element (DSG), using multiphase material topology optimization for triangular elements of ReissnerMindlin plates. Besides, common methods are also presented in this article, such as quadrilateral element (Q4) and reduced integration method. Moreover, when the plate gets too thin, the transverse shear-locking problem arises. To avoid that phenomenon, the stabilized discrete shear gap technique is utilized in the DSG3 system stiffness matrix formulation. The accuracy and efficiency of DSG are demonstrated by the numerical examples, and many superior properties are presented, such as being a strong competitor to the common kind of Q4 elements in the static topology optimization and its computed results are confirmed against those derived from the three-node triangular element, and other existing solutions.
Key Words
    discrete shear gap method; multi-material; reduced integration method; Reissner-Mindlin plate; shear locking; topology optimization
Minh-Ngoc Nguyen and Wonsik Jung:Department of Architectural Engineering, Sejong University, Seoul, 05006, Republic of Korea

Soomi Shin and Dongkyu Lee:Research Institute of Industrial Technology, Pusan National University, Busan, 46241, Republic of Korea

Joowon Kang:School of Architecture, Yeungnam University, 280 Daehak-Ro, Gyeongsan, Gyeongbuk 38541, Republicof Korea

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