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Transverse strength of metal matrix composites reinforced with strongly bonded continuous fibers in regular arrangements
Affiliation:1. Max-Planck-Institut für Metallforschung, Institut für Werkstoffwissenschaft, Seestrasse 92, D-70174 Stuttgart, Germany;2. Mechanical Engineering Department, University of California Santa Barbara, CA 93106, U.S.A.;1. Ceramic Department, Materials and Energy Research Center, Alborz, Iran;2. Semiconductor Department, Materials and Energy Research Center, Alborz, Iran;1. Department of Structural, Geotechnical and Building Engineering, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italy;2. IMT Institute for Advanced Studies Lucca, Piazza San Francesco 19, 55100 Lucca, Italy;1. Laboratoire des Sciences des Matériaux et de l''Environnement, Département de Chimie, Faculté des Sciences de Sfax, 3000 Sfax, Tunisia;2. Laboratoire de Physico-Chimie des Matériaux Minéraux et leurs Applications, Centre National de Recherches en Sciences des Matériaux, B.P. 95, Hammam-Lif 2050, Tunisia;3. Institut Européen des Membranes, Université de Montpellier II, France;1. School of Engineering Science, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran;2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran;3. Department of Mechanical Engineering, Middle East Technical University, Ankara, Turkey;1. Department of Chemistry, University of Louisville, Louisville, KY, 40292, USA;2. Oak Ridge National Laboratory, Oak Ridge, TN, 37931, USA
Abstract:The composite limit flow stress for transverse loading of metal matrix composites reinforced with a regular array of uniform continuous fibers is calculated using the finite element method. The effects of volume fraction and matrix work hardening are investigated for fibers of circular cross section distributed in both sqyare and hexagonal arrangements. The hexagonal arrangement is seen to behave isotropically with respect to the limit stress, whereas the square arrangement of fibers results in a composite which is much stronger when loaded in the direction of nearest neighbors and weak when loaded at 45° to this direction. The interference of fibers with flow planes is seen to play an important role in the strengthening mechanism. The influence of matrix hardening as a strengthening mechanism in these composites increases with volume fraction due to increasing fiber interaction. The results for a power law hardening matrix are also applicable to the steady state creep for these composites. The influence of volume fraction on failure parameters in these composites is addressed. Large increases in the maximum values of hydrostatic tension, equivalent plastic stain, and tensile stress normal to the fiber-matrix interface are seen to accompany large increases in composite strength.
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