The quantitative relationship is examined between torsion and tensile experiments done on wool fibers at various conditions of humidity and temperature. The relationship between torsion and tension measurements on a two component fiber depends on the volume fraction of the two mechanically distinct components. The two mechanical phases of the wool fiber are first assumed to be isotropic, but no assumption is made about their volume fraction. On this basis a mechanically elastic phase refers to approximately 5% of the fiber, not about 50% as is sometimes supposed. The remaining 95% of the fiber acts mechanically as a water penetrable viscoelastic matrix.Allowance for anistropy in the mechanically elastic phase does not significantly affect its volume fraction. If the viscoelastic matrix phase is regarded as constituting 95% of the fiber, it can be considered as mechanically isotropic at all water contents. Because of the low filament volume fraction obtained, the results suggest that the microfibril is not the mechanical unit corresponding to the water unaffected phase of the two phase model.The tensile Young's modulus E of dry and of wet wool is approximately 6.3 GPa and 1.75 GPa, respectively [ 18], whereas the torsional modulus G of wool is about 1.75 GPa when dry and, on average, 0.14 GPa when wet f 1, 281. These moduli are based on the actual cross-sectional area of the fiber at the conditions of measurement, .not on the wet cross-sectional area of the fiber -the latter being the way the moduli are sometimes quoted in the wool literature (e.g., references 3, 18, 23). This implies that the ratio of E/G for dry wool is 3.6, and that for wet wool the ratio is about E/G = 130. The value of the ratio E/G for an isotropic incompressible solid is 3. For a compressible isotropic solid, the ratio is less (see for example reference 3). Consequently wool is highly anisotropic when wet but also somewhat anisotropic when dry.The simplest way of accounting for this anisotropic behavior is to assume that the wool fiber consists of two phases [ 15], aligned parallel to the fiber axis. One of the phases has been thought to represent the microfibrils in the wool fiber. observable by electron microscopy [8,15,20,23], and their volume fraction can be calculated by chemical means and from X-ray data.The two mechanical phases we refer to in this paper are described by the terms &dquo;filament&dquo; and &dquo;matrix&dquo; in accordance with the terminology in the composite literature [29]. They represent mechanical components in the fiber and are not necessarily equivalent to the hitherto accepted notions of the microfibril and matrix in the wool literature [3,23].-, By making certain assumptions, outlined below, only tension and torsion measurements on wool fibers are required to determine the composition of wool in terms of its mechanical phases. We found that this composition does not correspond to the known volume fraction of the microfibrils in wool. The analysis and the measurements are confined to the low strain region (less...