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Geometrically nonlinear isogeometric analysis of laminated composite plates based on higher-order shear deformation theory
Institution:1. Department of Mechanical Construction and Production, Faculty of Engineering and Architecture, Ghent University, 9000 Ghent, Belgium;2. Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul 143-747, South Korea;3. Faculty of Civil Engineering, Ho Chi Minh City University of Architecture, 196 Pasteur Street, District 3, Ho Chi Minh City, Viet Nam;4. Department of Computational Engineering, Vietnamese-German University, Binh Duong New City, Viet Nam;1. Division of Computational Mechanics, Ton Duc Thang University, 19 Nguyen Huu Tho, Tan Phong Ward, Dist. 7, HCMC, Viet Nam;2. Department of Mechanical Construction and Production, Faculty of Engineering and Architecture, Ghent University, Belgium;3. Institut für Angewandte Mechanik, Technische Universität Braunschweig, Bienroder Weg 87, Campus Nord, 38106 Braunschweig, Germany;4. Duy Tan University, Da Nang, Viet Nam;1. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Institute of Mechanics and Advanced Materials, School of Engineering, Cardiff University, Queen’s Buildings, The Parade, Cardiff CF24 3AA, UK;3. Department of Mechanics, Faculty of Mathematics & Computer Science, University of Science, VNU - HCMC, Viet Nam;1. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Ave, Singapore;4. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China;5. Physics Department, University of Evora, Portugal;6. Duy Tan University, Danang, Viet Nam;7. Department of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0085, USA;8. Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstrasse 15, 99423 Weimar, Germany;1. Department of Mechanical Construction and Production, Faculty of Engineering and Architecture, Ghent University, 9000 Ghent, Belgium;2. Department of Aerospace Engineering, Faculty of Transportation Engineering, Ho Chi Minh City University of Technology, VNU-HCMC, 268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Vietnam;3. Department of Architectural Engineering, Sejong University, Seoul, South Korea;4. Department of Computational Engineering, Vietnamese–German University, Binh Duong New City, Vietnam;1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore;2. Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15, D-99423 Weimar, Germany;1. Department of Architectural Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul 05006, Republic of Korea;2. School of Architecture, Yeungnam University, 280, Daehak-Ro, Gyeongsan, Gyeongbuk 38541, Republic of Korea
Abstract:In this paper, we present an effectively numerical approach based on isogeometric analysis (IGA) and higher-order shear deformation theory (HSDT) for geometrically nonlinear analysis of laminated composite plates. The HSDT allows us to approximate displacement field that ensures by itself the realistic shear strain energy part without shear correction factors (SCFs). IGA utilizing basis functions namely B-splines or non-uniform rational B-splines (NURBS) enables to satisfy easily the stringent continuity requirement of the HSDT model without any additional variables. The nonlinearity of the plates is formed in the total Lagrange approach based on the small strain assumptions. Numerous numerical validations for the isotropic, orthotropic, cross-ply and angle-ply laminated plates are provided to demonstrate the effectiveness of the proposed method.
Keywords:Laminated composite plate  Isogeometric analysis  Higher-order shear deformation theory  Nonlinear analysis
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