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This lecture covers the importance of structural integrity and mechanics of fracture in various applications, such as thermal expansion. It discusses the relationship between variables and stresses in structures, emphasizing the need for compatibility in strain fields. The lecture delves into the equations governing static problems and the solutions obtained by using appropriate boundary data. It explores the concept of equilibrium in structures and the significance of stress boundary conditions. The instructor demonstrates how to verify strain fields and displacement through equations and integration, highlighting the role of compatibility in finding unique displacement vectors.
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