An Improved Shear-Lag Model for a Single Fiber Composite with a Ductile Matrix


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A shear-lag model is developed to predict the stress distributions in and around an isolated fiber in a single-fiber polymer matrix composite (PMC) subjected to uniaxial tensile loading and unloading along the fiber direction. The matrix is assumed to be an elasto-plastic material that deforms according to J2 flow theory. The stress distributions are obtained numerically and compared with a different shear-lag model that employs total strain theory as a constitutive equation of the matrix material. An effect of the difference between the models on the derived stress state is discussed.



Key Engineering Materials (Volumes 334-335)

Edited by:

J.K. Kim, D.Z. Wo, L.M. Zhou, H.T. Huang, K.T. Lau and M. Wang




S. Kimura et al., "An Improved Shear-Lag Model for a Single Fiber Composite with a Ductile Matrix ", Key Engineering Materials, Vols. 334-335, pp. 333-336, 2007

Online since:

March 2007




[1] A. Kelly, and W.R. Tyson, in: Fibre-strengthened materials, volume 13 of Journal of Mechanics and Physics of Solids, (1965).

[2] S. Kimura, J. Koyanagi, T. Hama and H. Kawada, in: Evaluation of the Interfacial Properties in Polymer Matrix Composite: Experiments and Elasto-plastic Shear-lag Analysis, Key Engineering Materials, accepted.


[3] T. Okabe and N. Takeda, in: Elastoplastic shear-lag analysis of single-fiber composites and strength prediction of unidirectional multi-fiber composites, volume 33 of Composites: Part A: applied science and manufacturing, (2002).


[4] C.H. Landis and R.M. McMeeking, in: A shear-lag model for a broken fiber embedded in a composite with a ductile matrix, volume 59 of Composites Science and Technology, (1999).


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