A simple displacement-based 3-node triangular element for linear and geometrically nonlinear analysis of laminated composite plates |
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| Affiliation: | 1. Department of Ocean Systems Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 305-701, Republic of Korea;2. Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;1. Qian Xuesen Laboratory of Space Technology, China Academy of Space Technology, Beijing 100094, China;2. Aerospace Structures and Computational Mechanics, Delft University of Technology, Kluyverweg 1, 2629 HS Delft, The Netherlands;3. School of Engineering, University of Glasgow, Rankine Building, Oakfield Avenue, Glasgow G12 8LT, United Kingdom;1. BK21 Plus Transformative Training Program for Creative Mechanical and Aerospace Engineers, Institute of Advanced Machines and Design, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 151-744, Republic of Korea;2. Department of Mechanical and Aerospace Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul 143-747, Republic of Korea;3. Department of Mechanical and Aerospace Engineering, Institute of Advanced Aerospace Technology, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 151-744, Republic of Korea;1. Department of Electrical Energy, Systems and Automation, Faculty of Engineering and Architecture, Ghent University, Belgium;2. Faculdade de Engenharia, Universidade do Porto, Porto, Portugal;3. Center for Interdisciplinary Research in Technology (Cirtech), Hutech University, Ho Chi Minh City, Vietnam;4. Department of Architectural Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul, 143-747, South Korea;5. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam;6. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;7. Soete Laboratory, Faculty of Engineering and Architecture, Ghent University, Technologiepark Zwijnaarde 903, B-9052 Zwijnaarde, Belgium;1. Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123, USA;2. Department of Solid Mechanics, Aalto University, Finland;3. Department of Continuum Mechanics and Structural Analysis University Carlos III of Madrid, Spain;1. Division of Construction Computation, Institute for Computational Science, 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 Engineering and Mathematical Sciences, La Trobe University, Bundoora, VIC 3086, Australia;4. Institute of Research and Development, Duy Tan University, 03 Quang Trung, Da Nang, Viet Nam;5. Department of Mechanical and Construction Engineering, Northumbria University, Ellison Place, Newcastle upon Tyne NE1 8ST, UK;6. Department of Physical Therapy, Graduate Institute of Rehabilitation Science, China Medical University, Taichung 40402, Taiwan;7. Center for Interdisciplinary Research in Technology (CIRTech), Hutech University, Ho Chi Minh City 700000, Viet nam |
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| Abstract: | A simple displacement-based 3-node, 18-degree-of-freedom flat triangular plate/shell element LDT18 is proposed in this paper for linear and geometrically nonlinear finite element analysis of thin and thick laminated composite plates. The presented element is based on the first-order shear deformation theory (FSDT), and the total Lagrangian approach is employed to formulate the element for geometrically nonlinear analysis. The deflection and rotation functions of the element boundary are obtained from the Timoshenko’s laminated composite beam functions, hence convergence to the thin plate solution can be achieved theoretically and shear-locking problem is avoided naturally. The plane displacement interpolation functions of the Airman’s triangular membrane element with drilling degrees of freedom are taken as the in-plane displacements of the element. Numerical examples demonstrate that the present element is accurate and efficient for linear and geometrically nonlinear analysis of thin to moderately thick laminated composite plates. |
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