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This chapter presents a procedure to assess the magnitude of the damage local and global damage in structures subjected to static and dynamic actions, with specialemphasis on the seismic problem. In addition to the formulation for the evaluation of the damage,introduces the concept of structural reinforcement and repair by composite laminatesof epoxy matrix with carbon fiber reinforcement. For this purpose, theuse of the theory of mixtures to compose a composite material from theirbasic components. Damage is also assessed in these reinforced and / or repaired structuresand the influence of these improvements on the assessment of the overall damage of the structure is discussed