Posted July 13, 2024
Last modified September 16, 2024
Colloquium Questions or comments?
3:30 pm Lockett 232
Ian Tobasco, Rutgers University
Homogenization of Kirigami and Origami-Based Mechanical Metamaterials
Mechanical metamaterials are many-body elastic systems that deform in unusual ways, due to the interactions of nearly rigid building blocks. Examples include origami patterns with many folds, or kirigami patterns made by cutting material from an elastic sheet. In either case, the local deformations of the pattern involve internal degrees of freedom which must be matched with the usual global Euclidean invariances --- e.g., groups of origami panels move by rotations and translations while the whole pattern bends into a curved shape. This talk will introduce the homogenization problem for kirigami and origami metamaterials to a broad audience, and describe our recent results. Our goal is to explain the link between the design of the individual cuts/folds and the bulk deformations they produce. This is joint work with Paul Plucinsky (U. Southern California, Aerospace and Mechanical Engineering) and Paolo Celli (Stony Brook U., Civil Engineering). This talk will be mathematically self-contained, not assuming a background in elasticity.
Posted November 11, 2024
Colloquium Questions or comments?
3:30 pm Lockett 232
Benjamin Dodson, Johns Hopkins University
Global well-posedness and scattering for the radial, conformal wave equation
In this talk we prove global well-posedness and scattering for the radially symmetric nonlinear wave equation with conformally invariant nonlinearity. We prove this result for sharp initial data.