A micromechanics based analysis of hollow fiber composites using DQEM |
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| Authors: | M Bayat MM Aghdam |
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| Affiliation: | 1. Department of Civil and Environmental Engineering, University of Pittsburgh, 710 Benedum Hall, 3700 O?Hara Street, Pittsburgh, PA, USA;2. Department of Chemical and Petroleum Engineering, University of Pittsburgh, 710 Benedum Hall, 3700 O?Hara Street, Pittsburgh, PA, USA;3. CSIRO Earth Science and Resource Engineering, Melbourne, Australia;4. CSIRO Earth Science and Resource Engineering, Perth, Australia;5. Department of Civil Engineering, University of Minnesota, Minneapolis, MN, USA;1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore;2. Solid Mechanics and Materials Engineering Group, Department of Engineering Science, University of Oxford, Oxford, UK;1. School of Earth Science and Mineral Resources, China University of Geosciences, Beijing 100083, China;2. Fluids Research Laboratory, Department of Geosciences, Virginia Tech, Blacksburg, VA 24061, USA;3. MLR Key Laboratory of Metallogeny and Mineral Assessment, Institute of Mineral Resources, Chinese Academy of Geological Sciences, Beijing 100037, China;4. College of Earth Sciences, Chengdu University of Technology, Chengdu, Sichuan 610059, China;1. Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran;2. Aerospace Engineering Department & Center of Excellence in Computational Aerospace, Amirkabir University of Technology, Tehran, Iran |
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| Abstract: | In this study, a generalized plane strain micromechanical model is presented to obtain micro-stress/strain fields within the unidirectional (UD) hollow fiber reinforced composites. In addition, the thermally induced residual stresses during cooling down process, overall elastic properties and energy absorption capability of hollow reinforced composite are studied. The representative volume element (RVE) of the composite consists of a quarter of the fiber surrounded by matrix to represent the real composite with repeating square array of fibers. Fully bonded fiber–matrix interface condition is considered and the displacement continuity and traction reciprocity are properly imposed to the interface. The cubic serendipity shape functions are used to convert the solution domain to a proper rectangular domain. A Least-squares based differential quadrature element method (DQEM) is used to obtain solutions for the governing partial differential equations of the problem. Results of the presented method for various stress and displacement components and thermal residual stresses show excellent agreement with finite element analysis. Furthermore, predicted overall properties also show good agreement with other available analytical and finite element results. Moreover, results also revealed that the presented model can provide highly accurate predictions with a few number of elements and grid points within each element. |
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