## Abstract

The mystery why a tire, just one part of a vehicle, realizes many functions simultaneously can be explained by the fact that a tire has a composite structure made from composite material. Unidirectional fiber-reinforced rubber (UFRR) is the main composite material of a tire. The elastic and viscoelastic properties of UFRR are defined in principal directions, which are the direction of the fiber or cord and the direction perpendicular to the fiber or cord. Applying the rotation matrix to the properties of UFRR in the principal directions, the properties of UFRR can then be calculated in an arbitrary direction. Because UFRR has nonlinear properties with respect to the direction of the applied external force, the angle and width of UFRR used for a tire belt need to be carefully determined in tire design.

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