Abstract: With the increasing number of graduate students in China, the training objectives of graduate students are also changing, which requires graduate students to have a solid theoretical foundation and the ability to solve practical problems. The course of fracture mechanics is a continuation of material mechanics, which involves courses such as elastic mechanics, higher mathematics and complex variable function. It has typical teaching difficulties in mechanics disciplines such as strong theory and complex calculation. In order to stimulate students'enthusiasm for learning and mobilize students'enthusiasm for thinking, case-based teaching is added to the traditional teaching process to increase the interest of the classroom. At the same time, students are guided to analyze the mechanical phenomena in the case from the perspective of fracture mechanics, and to appropriately increase the understanding of the development law of natural science from the perspective of humanities, so as to obtain better teaching effect.

Key words: Postgraduate training, Case-based teaching, Teaching reform, Fracture mechanics, Teaching methods, Practical ability