A continuum model for frictional slip of the yarns of a plain-weave fabric is presented. The model is based on the assumption that the weave is composed of two families of continuously distributed yarns constrained at all times to occupy a common evolving surface in three-dimensional space. The two families may slide relative to one another on the surface, subject to their respective equations of motion, fiber constitutive equations, and frictional slip rules. The theory is intended for the quantitative analysis of deformation, slip and energy dissipation during a ballistic impact event. A novel two-scale approach is used to generate continuum-level constitutive data by integrating the nonlinear response of microscopic elasticae that represent the mechanics of crimping and decrimping as the yarns of the weave are deformed. Numerical examples are presented and comparisons with experimental data are discussed.
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