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This lecture introduces the fundamentals of fracture mechanics, focusing on crack shape, stress intensity factor, and energy release rate. The analysis of cracks and crack growth conditions in a material is discussed, along with the Eshelby method applied for fractures. The lecture covers the stress field around cracks, the effect of cracks on materials, and the critical conditions for crack growth. Various cases of crack shapes and their corresponding stress fields are explored, emphasizing the importance of understanding the behavior of cracks in different materials.