<p>Rock masses with bedding or foliation structures exhibit pronounced strength anisotropy, which governs the mechanical behavior and stability of engineering rock masses during excavation and support. Accurately describing their peak and post-peak softening strength behaviors is key to developing anisotropic strength models. However, most existing models are constrained by limitations including excessive parameters, engineering implementation challenges, limited applicability to specific strength behaviors, and ambiguity in capturing softening-stage strength evolution. To tackle these issues, this study introduced normal and tangential scaling factors and proposed an angular offset function for non-uniform scaling and angular offset correction of the second-order stress tensor. Building on the Mohr–Coulomb strength criterion, an anisotropic strength model integrating angular offset and non-uniform scaling of the stress tensor (hereafter denoted as the proposed model) is developed. Using triaxial test data of bedded sandstone, banded migmatite, and gneiss, a normalization method for equivalent plastic shear strain is proposed, and the peak and post-peak softening anisotropic behaviors of bedded sandstone at different dip angles are analyzed and characterized.​ Through a comparative analysis of theoretical and experimental data, the applicability of the proposed model developed in this study is assessed. Results show this method can be readily integrated with isotropic strength models, facilitating precise characterization of peak and post-peak softening strength anisotropy in bedded/foliated rocks. It also exhibits strong adaptability to the "U"-shaped and "shoulder"-shaped strength characteristics of diverse anisotropic rocks, providing valuable insights for precise stability evaluation and scientific management of anisotropic rock masses.</p>