Micromechanically based constitutive equations for shape-memory fiber composites undergoing large deformations

Finite strain constitutive relations for the modeling of the superelastic behavior of shape-memory alloy materials have been incorporated in a large deformation micromechanical analysis. As a result, closed-form incremental constitutive equations that govern unidirectional composites with embedded shape-memory alloy fibers have been established. The composite constitutive equations have been employed to investigate the behavior of shape-memory alloy fibers embedded in: (1) elastic-viscoplastic matrix with isotropic and directional hardening, and (2) perfectly elastic rubber-like matrix, both of which are undergoing finite deformation.