Short fibers micromechanic models

Li, V.C., Wang, Y., and Backer, S. (1991) A statistical-micromechanical model of tension-softening behavior of short fiber reinforced brittle matrix composites , Journal of Mechanics and Physics of Solids, Vol. 39, No. 5, 1991, 607-625. 

Micromechanical models such as Cox shear-lag and Halpin-Tsai are often used to predict the stiffness and strength of discontinuously short-fiber reinforced composites. Experimental results of tensile measurements are then compared or correlated with such theoretical models. The shear-lag analysis originally proposed by Cox considered a discontinuous fiber embedded in an elastic matrix with a perfectly bonded interface and loaded in tension along the fiber direction [25]. The analysis tabes into account the difference in strain displacements of the fiber and matrix along the interface. The stress transfer depends on the interfacial shear stress between the fiber and the matrix. The stress transfer from fiber ends is neglected in the analysis. The Cox model incorporates the aspect ratio (a = l/d where I is the fiber length and d the diameter) of the fiber into... 

V.C. Li, Y. Wang and S. Backer, A micromechanical model of tension softening and bridging toughening of short random fiber reinforced brittle matrix composites , J. Mech. Phys. Solids. 39,1991, 607-625. 

Micromechanic Models for Short Fibers-Filled Polymer Composites... 

Nearly all micromechanics models for short-fibers filled systems consider the same basic assumptions ... 

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