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Axisymmetric micromechanics of elasticity-perfectly plastic fibrous composites under uniaxial tension loading
Institution:1. Korea Aerospace Research Institute P.O. Box 15 Daeduck Science Town Daejun, 305-606, Korea;2. Center for Mechanics of Composites Texas A&M University College Station, TX 77843, USA;1. National Center for Materials Service Safety, University of Science and Technology Beijing, No.30, Xueyuan Road, Haidian District, Beijing 100083, China;2. School of Transportation, Wuhan University of Technology, 1178 Heping Avenue, Wuhan, Hubei Province 430063, China;3. Joint USTB-Virginia Tech Lab on Multifunctional Materials, University of Science and Technology Beijing, Virginia Tech, Blacksburg, VA 24061, United States;1. Department of Engineering Mechanics, AML, Tsinghua University, Beijing 100084, China;2. Department of Naval Architecture, Naval University of Engineering, Wuhan, Hubei Province 430033, China;1. Arizona State University, 660 S. College Avenue, Tempe, AZ 85281, United States;2. Civil, Construction and Environmental Engineering, 418 Mann Hall, North Carolina State University, Raleigh, NC 27695, United States;1. Engineering Research Center for Transportation Materials of the Ministry of Education, Chang’an University, Xi’an 710061, China;2. Tibet Tianlu Co., Ltd by Shares, Lhasa 850000, China;3. Dept. of Civil and Environmental Engineering, North Carolina State University, Campus Box 7908, Raleigh, NC 27695-7908, USA;4. College of Civil Engineering, Fuzhou University, Fuzhou 350116, China;5. Department of Civil and Environmental Engineering, Washington State University, P.O. Box 642910, Pullman, WA 99164-2910, USA
Abstract:The uniaxial response of a continuous fiber elastic-perfectly plastic composite is modelled herein as a two-element composite cylinder. An axisymmetric analytical micromechanics solution is obtained for the rate-independent elastic-plastic response of the two-element composite cylinder subjected to tensile loading in the fiber direction for the case wherein the core fiber is assumed to be a transversely isotropic elastic-plastic material obeying Tsai-Hill's yield criterion, with yielding simulating fiber failure. The matrix is assumed to be an isotropic elastic-plastic material obeying Tresca's yield criterion. It is found that there are three different circumstances that depend on the fiber and matrix properties: (1) fiber yield, followed by matrix yielding; (2) complete matrix yield, followed by fiber yielding; and (3) partial matrix yield, followed by fiber yielding, followed by complete matrix yield. The order in which these phenomena occur is shown to have a pronounced effect on the predicted uniaxial effective composite response.
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