Spatio-temporal material composites or dynamic materials
are composites in which the constituent properties
such as permeability, permittivity, density, etc. are distributed on a microscale in time, as well as in space. A dynamic disturbance on a scale much greater than the scale of a spatio-temporal microstructure will perceive this formation as a new material with its own effective properties.
Mathematically, we formulate the problem for linear,
hyperbolic equations with spatio-temporally varying senior coefficients. By allowing this variability in the material constituents, it can be shown analytically and computationally that one may obtain effects that are unachievable through purely spatial design.
In this talk, we present some findings about dynamic laminates and give some preliminary results about wave propagation through a doubly periodic material structure with checkerboard microgeometry in one spatial dimension and time.
|