Dynamic materials (DM) comprise spatial material frameworks and their energetic interactions with the environment responsible for temporal changes in material properties. This paper studies a checkerboard pattern of variable electrical material properties in space-time. Impedance mismatch causes reflection of energy which one would expect to slow energy accumulation, but this does not happen; this paper explores why. Impedance mismatch was found to produce energy accumulation effects separate from those of velocity mismatch. In most of the simulations, these effects more than make up for the losses from reflection out of limit cycles, but some of the simulations suggest parameters exist for which energy loss may occur.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Perrone, Michael Alexander

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-053117-180507

Advisor

• Lurie, Konstantin

Year

• 2017

Date created

• 2017-05-31

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright