Resumen de Axisymmetric micromechanics of elastic-perfectly plastic fibrous composites under uniaxial tension loading
The uniaxial response of a continuous fiber elastic-perfectly plastic composite is modelled herein as a two-element composite cylinder. An axisymmetric analytical micromechanics solution is obtained for the rate-independent elastic-plastic response of the two-element composite cylinder subjected to tensile loading in the fiber direction for the case wherein the core fiber is assumed to be a transversely isotropic elastic-plastic material obeying Tsai-Hill's yield criterion, with yielding simulating fiber failure. The matrix is assumed to be an isotropic elastic-plastic material obeying Tresca's yield criterion. It is found that there are three different circumstances that depend on the fiber and matrix properties: (1) fiber yield, followed by matrix yielding; (2) complete matrix yield, followed by fiber yielding; and (3) partial matrix yield, followed by fiber yielding, followed by complete matrix yield. The order in which these phenomena occur is shown to have a pronounced effect on the predicted uniaxial effective composite response.
