Curved edge broaches can significantly improve the machining efficiency and accuracy of key components of aviation engine turbine discs. However, existing constitutive models and friction models fail to describe these parameters accurately during the broaching process. Therefore, this paper proposes modifications to the J-C constitutive model based on the MSG model and the friction model based on the SCG model, which are applied to an Inconel 718 simplified tenon broaching finite element model. The single-stage modification involves modifying the constitutive model first, followed by modifying the friction model from the modified constitutive model to achieve cascade correction. To verify the accuracy of the model, a simplified tenon broaching experiment is conducted, and the predicted broaching force, broaching temperature, and chip morphology are compared with experimental results. In conclusion, the modified constitutive model proposed in this paper has an accuracy of approximately 90 %, which represents a 33.3 % error reduction compared to that of the conventional constitutive model. Furthermore, the accuracy of the cascade modified model proposed in this paper can be nearly 95 %, resulting in an error reduction of about 50 % based on the modified constitutive model. The newly proposed cascade correction model can help optimize tool and process parameters in tenon broaching to achieve the desired broaching force, broaching temperature, and chip morphology using simulation-based optimization.