An analysis of the inelastic tensile deformation of a fiber composite
containing multiple bridged cracks of finite length is presented. Comp
osite strains are predicted by using crack opening areas to account fo
r the additional inelastic strain due to the cracks. The analysis is b
ased upon a line-spring representation of the crack surface tractions
associated with bridging fibers, accounting for frictional sliding alo
ng the fiber-matrix interface with a constant shear stress. Approximat
e analytical solutions are derived based on the assumption that the ne
ar tip behavior of the crack dominates either the entire crack profile
(for short cracks) or only a small portion of it (for long cracks). T
hese results are compared to more detailed numerical solutions. The an
alysis is extended to the case of cyclic loading, incorporating the hy
steresis that occurs as a result of reverse slip along the interfaces.
(C) 1997 Elsevier Science Ltd.