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Static and dynamic analyses of three-dimensional hollow concrete block revetments using polyhedral finite element method
Institution:1. Department of Electrical Energy, Metals, Mechanical Constructions and Systems, Faculty of Engineering and Architecture, Ghent University, Ghent, Belgium;2. University of Science and Technology, The University of Danang, Da Nang, Viet Nam;3. Mien Trung University of Civil Engineering, Tuy Hoa, Viet Nam;4. Department of Physical Therapy, Graduate Institute of Rehabilitation Science, China Medical University, Taichung 40402, Taiwan;5. CIRTech Institute, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh, Viet Nam;6. Soete Laboratory, Faculty of Engineering and Architecture, Ghent University, Technologiepark Zwijnaarde 903, B-9052 Zwijnaarde, Belgium;1. Ocean College, Zhejiang Univ., Zhoushan, 316021, China;2. Ocean College and State Key Laboratory of Fluid Power & Mechatronic System, Zhejiang Univ., Hangzhou, 310027, China;1. Faculty of Technology and Maritime Science, University of Southeast Norway, Tønsberg, Norway;2. Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway;1. University of L’Aquila, Department of Civil, Construction-Architectural and Environmental Engineering (DICEAA), Environmental and Maritime Hydraulic Laboratory (LIam), P.le Pontieri, 1, 67040 Monteluco di Roio, L’Aquila, Italy;2. Technical University of Bari, Department of Civil, Environmental, Building Engineering and Chemistry (DICATECh), Coastal Engineering Laboratory, Area Universitaria di Valenzano S.P. Valenzano Casamassima, Km.3, 70010 Valenzano, Bari, Italy
Abstract:In this study, we exploit the flexibility and advantages of polyhedral finite elements in modeling 3D hollow concrete block revetments. In the present method, a new concept is proposed, in which the polyhedral elements are subdivided into sub-tetrahedrons through virtual nodes located at the centroids of the faces and element. Piecewise linear shape functions of polyhedral elements are constructed for the sub-tetrahedrons. Then, the shape functions are used to formulate the stiffness and mass matrices. By this way, the present approach yields lower computational cost than that of the standard polyhedral finite element method based on rational basis functions. The presented method suits well general polyhedral meshes including concave elements, which are used to model 3D complicated structures in design of coastal defenses system protection such as interlocking revetments. Reliability and effectiveness of the present approach are validated by the well-known commercial ANSYS software through static and dynamic analysis.
Keywords:Block revetments  Polyhedral finite elements  Piecewise linear shape functions  3D  Static and dynamic analyses
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