Two kinds of kink-band propagation in the compression of aligned-fiber composites are studied analytically : band broadening, discovered experimentally by Moran, Liu and Shih, 1996, in which a uniform kink band grows in the direction of loading at constant stress under increasing deformation; and transverse kink propagation, in which a kink band traverses a specimen quasi-statically under constant overall shortening. The analysis is based on a 1-D, geometrically nonlinear couple-stress theory of composite kinking that takes elastic fiber bending resistance into account together with idealized nonlinear stress–strain relations, but assumes non-breaking fibers. Simple results for the band-broadening and transverse propagation stresses are deduced, and their significance is discussed.
Journal of the Mechanics and Physics of Solids 09/1998; 46(9-46):1637-1653. DOI:10.1016/S0022-5096(97)00042-2