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International Journal of Plasticity
Volume 9, Issue 4, 1993, Pages 437-460
 
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doi:10.1016/0749-6419(93)90047-T    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1993 Published by Elsevier Science Ltd.

Axisymmetric micromechanics of elasticity-perfectly plastic fibrous composites under uniaxial tension loading

Jong-Won Leea and David H. Allenb

a Korea Aerospace Research Institute P.O. Box 15 Daeduck Science Town, Daejun, 305-606, Korea b Center for Mechanics of Composites Texas A&M University, College Station, TX 77843, USA

Received 6 February 1992; 
accepted 26 July 1992. ;
Available online 26 February 2003.

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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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