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A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates
Authors:AMA Neves  AJM Ferreira  E Carrera  CMC Roque  M Cinefra  RMN Jorge  CMM Soares
Affiliation:1. Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;2. INEGI, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;3. Departament of Aeronautics and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy;4. Instituto Superior Técnico, Av. Rovisco Pais, Lisboa, Portugal;1. Laboratoire des Matériaux et Hydrologie, Faculté de Technologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbes, Algeria;2. Laboratoire des Structures et Matériaux, Avancés dans le Génie Civil et Travaux Publics, Université de Sidi Bel Abbes, Faculté de Technologie, BP 89 Cité Ben M’hidi, 22000 Sidi Bel Abbes, Algeria;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia;4. Mathematics Department, Faculty of Science, University of Sohag, Egypt;5. Gort Engovation–Propulsion, Nanomechanics and Biophysics, Southmere Avenue, Bradford, UK;1. Department of Civil and Environmental Engineering, Hanyang University, 17 Haengdang-dong, Seongdong-gu, Seoul 133-791, Republic of Korea;2. School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;1. Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;2. Faculty of Civil Engineering and Applied Mechanics, University of Technical Education Ho Chi Minh City, 1 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Vietnam;3. Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne NE1 8ST, UK;4. Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, Korea
Abstract:In this paper we present a new application for Carrera’s unified Formulation (CUF) to analyse functionally graded plates.In this paper the authors present explicit governing equations of a sinusoidal shear deformation theory for functionally graded plates. It addresses the bending and free vibration analysis and accounts for through-the-thickness deformations.The equations of motion are interpolated by collocation with radial basis functions. Numerical examples demonstrate the efficiency of the present approach.
Keywords:
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