Abstract
Abstract Based on the torque-axial load coupling properties of twisted cord, a new unipolar composite theory is developed. Overall, the full complement of the so-called micropolar stress/moment-strain/rotation gradient coupling is accommodated. This includes the handling of the skew-symmetric stress to relative matrix wind-up interaction which is a central feature of continuous twisted cord-reinforced composites. To establish various interaction effects, both analytical and finite element models of unit cell behavior are employed. Due to the mixed tensor-vector properties of the constitutive formulation, a specially anisotropic polar formulation is developed. To illustrate the millimeter level importance of polarity, i.e., millipolarity, the results of several case study problems are also presented for cord-reinforced elastomeric composites. These include both square and alternating (triangular) packing morphologies. To generalize the results, the investigations include a wide range of packing densities.
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