Mud shale is an abundant unconventional source of oil and gas, with considerable potential for extensive exploration and development. Hydraulic fracturing is a core technology for the harvesting of mud shale resources. Mud shale usually contains developed bedding structures. A mixed-mode Ⅰ-Ⅱ failure occurs when hydraulic fractures meet the bedding layers. Understanding the characteristics of the mixed-mode Ⅰ-Ⅱ fracture of mud shale is of high practical significance. A numerical model for a semi-circular bend (SCB) specimen is built using a flat-joint model (FJM). The macroscopic mechanical parameters of the numerical model are calibrated, including the uniaxial compressive strength, elastic modulus, and Poisson's ratio. The microscopic parameters of the model are constantly adjusted using the trial-and-error method to realize an effective fit between the model and rock parameters. The results show variation characteristics of the stress field, displacement field, and fracture toughness are revealed on a microscopic scale during fracture initiation and propagation. The fracture propagation law under different bedding strengths and initial fracture angles is discussed, and the pattern of fracture interactions under different bedding angles and initial fracture angles is obtained. The results showed that the influence of the fracture toughness as the bedding angle decreased. The fracture arrest and the degree of fracture deflection upon reaching the bedding are more considerably influenced by the strength of the weak plane. The higher the bedding strength of the weak plane, the more likely the fractures were deflected in the bedding. However, fracture penetration of the bedding layer is more greatly influenced by the bedding angle.