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Explore elasto-plastic analysis techniques for composite materials through this 82-minute lecture that examines the complex behavior of composite systems under various loading conditions. Delve into fundamental concepts of composite materials and their unique mechanical properties, then advance to comprehensive failure theories specifically developed for composite structures. Learn about plasticity-based failure damage models that predict how composites respond to stress beyond their elastic limits. Analyze stress distribution patterns within damaged composite systems and understand how material degradation affects overall structural performance. Investigate damage evolution mechanisms that govern the progressive failure of composite materials, including how micro-damage accumulates and propagates through the material matrix and fiber-matrix interfaces over time.