This lecture introduces the fundamental concepts of fracture mechanics, focusing on the behavior of cracked bodies under different types of stress. It covers parameters such as fracture energy, critical stress intensity factor, and the analysis of crack propagation. The instructor explains how these parameters are used to predict the behavior of materials with cracks, emphasizing the importance of understanding the energy release during crack growth. Additionally, the lecture discusses the significance of factors like geometry and material properties in determining the propensity for fracture. Practical examples, such as fatigue testing and the influence of environmental factors on material failure, are also explored.