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Explore material instabilities and their relationship to continuum solids in this 48-minute seminar lecture delivered by Professor Andrea Piccolroaz from the University of Trento. Delve into how the loss of ellipticity in governing equations affects material stability, particularly focusing on the requirement for wave speed to maintain positive real numbers across all wave directions. Learn about various types of material instabilities, including strain localization in shear bands and flutter instability in dynamics. Examine these concepts through micromechanical interpretation, utilizing homogenization of prestressed periodic beam lattices to understand both static and dynamic regimes. Discover the connections between microstructure and macroscopic instabilities, validated through comparisons between discrete lattice simulations using finite elements and equivalent continuum responses described by exact Green's function.
