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A three-dimensional hybrid stress isoparametric element for the analysis of laminated composite plates
Affiliation:1. College of Mechanical and Transportation Engineering, China University of Petroleum-Beijing, 18 Fuxue Road, Changping, Beijing CO 102249, China;2. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China;3. School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, PO Box 71, Bundoora, VIC 3083, Australia;4. School of Civil Engineering, The University of Queensland, Brisbane, St Lucia 4072, Australia;1. Faculty of Mechanical Engineering, Kashan, Iran;2. Institute of Nanoscience & Nanotechnology University of Kashan, Kashan, Iran;1. Department of Mechanical Engineering, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, Iran;2. Department of Mechanical Engineering, University of Guilan, P.O. Box 41635-3756, Rasht, Iran;1. State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;2. Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong
Abstract:In view of the increasing interest in using composite materials for aerospace structures, the analysis of laminated composite plates becomes essential. A three-dimensional eight-node hybrid stress finite element method is developed for the analysis of laminated plates. The hybrid stress model is based on the modified complementary energy principle and takes into account the transverse shear deformation effects. The displacement field is interpolated through shape functions and nodal displacements. All three displacement components are assumed to vary linearly through the thickness of each lamina. The stress field is interpolated through assumed stress polynomials with 55 stress parameters for each lamina. All six stresses are included and satisfy the homogeneous equilibrium equations. The validity of the hybrid stress finite element model is determined by comparing the predicted numerical results with the existing three-dimensional elasticity solutions. Excellent accuracy and fast convergence are observed in the numerical results.
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