Faculty Advisor

Lurie, Konstantin

Abstract

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.

Publisher

Worcester Polytechnic Institute

Date Accepted

May 2017

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

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