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Explore an advanced lecture on flexible mechanical metamaterials and their extraordinary nonlinear properties in this 50-minute presentation by Katia Bertoldi from the Simons Foundation. Discover how these uniquely engineered structures with special geometric features can exhibit remarkable behaviors in the nonlinear regime, potentially revolutionizing smart materials and devices. Learn about an innovative inverse-design framework developed to create flexible mechanical metamaterials with targeted nonlinear dynamic responses. Examine how this framework enables the integration of programmable mechanical responses, sensing capabilities, and computational functions within a single synthetic structure. Understand the potential for developing a new class of monolithic machines that require minimal electronic inputs while possessing advanced functionalities inherently embedded in their architecture. Gain insights into applications ranging from shape morphing and programmable nonlinear mechanical behaviors to energy manipulation and wave management, positioning these metamaterials at the forefront of next-generation smart material technology.