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Steel and Composite Structures
  Volume 29, Number 5, December10 2018 , pages 635-645

Design of multiphase carbon fiber reinforcement of crack existing concrete structures using topology optimization
Anh P. Nguyen, Thanh T. Banh, Dongkyu Lee, Jaehong Lee, Joowon Kang and Soomi Shin

    Beam-column joints play a significant role in static and dynamic performances of reinforced concrete frame structures. This study contributes a numerical approach of topologically optimal design of carbon fiber reinforced plastics (CFRP) to retrofit existing beam-column connections with crack patterns. In recent, CFRP is used commonly in the rehabilitation and strengthening of concrete members due to the remarkable properties, such as lightweight, anti-corrosion and simplicity to execute construction. With the target to provide an optimal CFRP configuration to effectively retrofit the beam-column connection under semi-failure situation such as given cracks, extended finite element method (X-FEM) is used by combining with multi-material topology optimization (MTO) as a mechanical description approach for strong discontinuity state to mechanically model cracked structures. The well founded mathematical formulation of topology optimization problem for cracked structures by using multiple materials is described in detail in this study. In addition, moved and regularized Heaviside functions (MRHF), that have the role of a filter in multiple materials case, is also considered. The numerical example results illustrated in two cases of beam-column joints with stationary cracks verify the validity, benefit and supremacy of the proposed method.
Key Words
    CFRP; composite; multiple materials; topology optimization; X-FEM; MRHF; crack; beam-column joint
(1) Anh P. Nguyen, Thanh T. Banh, Dongkyu Lee, Jaehong Lee:
Department of Architectural Engineering, Sejong University, Seoul 05006, Korea;
(2) Joowon Kang:
Department of Architecture, Yeungnam University, Gyeongsan 38541, Korea;
(3) Soomi Shin:
Research Institute of Industrial Technology, Pusan National University, Busan 46241, Korea.

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