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A partial hybrid stress solid-shell element for the analysis of laminated composites
Authors:K Rah  W Van Paepegem  AM Habraken  J Degrieck
Affiliation:1. Dept. of Materials Science and Engineering, Ghent University, Technologiepark-Zwijnaarde 903, 9052 Zwijnaarde, Belgium;2. Mécanique des Solides, des Fluides et des Structures, Université de Liège, chemin des Chevreuils 1, bât B52/3, 4000 Liège, Belgium;1. Department of Structural and Continuum Mechanics, Universitat Politècnica de València, Spain;2. Department of Applied Physics, University of Granada, Spain;1. Mechanical Engineering Department, National Institute of Technology Durgapur, Durgapur, India;2. Applied Mechanics Department, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, India;3. Department of Mechanical and Industrial Engineering, Faculty of Applied Science and Engineering, University of Toronto, Toronto, Ontario, Canada;1. City University London, Northampton Square, London EC1V 0HB, United Kingdom;2. Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy;1. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China;2. Shanghai Academy of Spaceflight Technology, Shanghai 200045, China
Abstract:In this paper we introduce a low order partial hybrid stress solid-shell element based on the composite energy functional for the analysis of laminated composite structures. This solid-shell element has eight nodes with only displacement degrees of freedoms, and three-dimensional constitutive models can be directly employed in the present formulation without any additional treatment. The assumed interlaminar stress field provides very accurate interlaminar stress calculation through the element thickness. These elements can be stacked on top of each other to model multilayer structures, fulfilling the interlaminar stress continuity at the interlayer surfaces and zero traction conditions on the top and bottom surfaces of the laminate. The present solid-shell does not show the transverse shear, trapezoidal and thickness locking phenomenon, and passes both the membrane and the bending patch tests. To assess the present formulation’s accuracy, a variety of popular numerical benchmark examples related to element convergence, mesh distortion, shell and laminated composite analyses are investigated and the results are compared with those available in the literature. The numerical results show the accuracy of the presented solid-shell element for the analysis of laminated composites.
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