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A theoretical basic scheme is presented to desclibe how the deformation properties of random fiber masses are affected by the slippage of fibers at their contact points. The constituting fibers are modeled by chains of hypothetical short elements variously oriented, each of which has a length equaling the mean free-fiber-length depending on the respective direction in the mass and a circular curvature corresponding to the local fiber crimpiness ; the elements are treated as if they were nonlinear elastic springs characterized by their orientation and curvature at each stage of deformation. The force that tends to induce fiber slippage or to oppose it at a fiber contact point is related to the relative recovery force between two elemental springs connected at the contact. The elastic response of the system to external force is formulated by the scheme that was earlier given by the present authors to the deformation mechanics of fiber assemblies. Several typical model analyses of the uniaxial compression of an isotropic mass predict the followings : hysteresis appears in the stress-strain curve as well as in the Poisson's ratio-strain relation when the mass is unloaded after compression ; a greater friction coefficient of fibers gives to the assembly a higher elasticity and a lower Poisson's ratio.

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Deformation Mechanics of Random Fiber Masses Considering Fiber Slippage. Part 1: The Theoretical Scheme to Describe the Elastic Stress and an Application to Compressional Deformation.