<p>To improve the prediction accuracy under multiaxial stress states of the Bridging Model, this paper reconstructs the Tsai-Wu failure criterion by considering the stress states of fibers and matrix simultaneously. Based on the stress invariants, the derived stress concentration factors (SCFs) are used for fitting quadratic curves to determine SCFs under multiaxial stress states. The parameters of the reconstructed Tsai-Wu failure criterion are defined based on assumptions derived from experimental results. Furthermore, an empirical correction coefficient for longitudinal shear stress is introduced to reflect the effect of transverse compressive stress in impeding shear failure. The failure envelopes predicted by the reconstructed and original failure criteria are compared with existing experimental data. The results demonstrate that the reconstructed failure criterion achieves higher prediction accuracy, particularly under multiaxial stress states, which improves the applicability of the Bridging Model in engineering applications.</p>