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Static,free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique
Affiliation:1. Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;2. Departamento of Aeronautics and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy;3. INEGI, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal;4. Instituto Superior Técnico, Av. Rovisco Pais, Lisboa, Portugal;1. Department of Mechanical and Construction Engineering, Northumbria University, Ellison Place, Newcastle Upon Tyne NE1 8ST, UK;2. Faculty of Civil Engineering, Ho Chi Minh City University of Technology and Education, 1 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Viet Nam;3. Institute of Research and Development, Duy Tan University, 03 Quang Trung, Da Nang, Viet Nam;4. Division of Construction Computation, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;5. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;6. School of Engineering and Mathematical Sciences, La Trobe University, Bundoora, VIC 3086, Australia;1. 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, Viet Nam;2. Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;3. Faculty of Engineering and Environment, Northumbria University, Newcastle upon Tyne NE1 8ST, UK;1. Sustainable Developments in Civil Engineering Research Group, Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. The Graduate School of Construction Engineering, Chung-Ang University, 84, Huksuk-ro, Dongjak-ku, Seoul 06974, Republic of Korea
Abstract:In this paper the authors derive a higher-order shear deformation theory for modeling functionally graded plates accounting for extensibility in the thickness direction.The explicit governing equations and boundary conditions are obtained using the principle of virtual displacements under Carrera’s Unified Formulation. The static and eigenproblems are solved by collocation with radial basis functions.The efficiency of the present approach is assessed with numerical results including deflection, stresses, free vibration, and buckling of functionally graded isotropic plates and functionally graded sandwich plates.
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