The results of an experimental program in which multiaxial loads were applied to  and 8 silicon carbide/titanium (SiC/Ti) tubes are reviewed showing that stress coupling, matrix viscoplasticity (including room temperature creep) and fiber/matrix interfacial damage all contribute to nonlinear response and permanent strains in titanium matrix composites (TMC). A micromechanical model that explicitly considers the aforementioned phenomena is presented herein. The model assumes a periodic microstructure and uses finite elements to analyze a representative volume element. The composite is assumed to be in a state of generalized plain strain making it possible to discretize only a generic transverse plane while still being able to apply three-dimensional loading though appropriate boundary conditions. The response of laminated composites is predicted using the lamina response predicted by the micromechanical model in nonlinear lamination theory. Predictions are presented to show the influence of the model parameters on the effective composite response of unidirectional  and angle-ply s TMC laminates.