This project analyzes the effective conductivity of a material where the background conductivity of a substrate material is enhanced by the presence of nonconducting embedded particles. The averaged effective conductivity is derived using homogenization. The averaging is applied to several test examples, then to the material with particles embedded. The main interest is how various particle arrangements effect the overall conductivity.

• 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

• Fraser, Sean

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-042519-050128

Award

• Provost's MQP Award

Advisor

• Fehribach, Joseph D.

Year

• 2019

Date created

• 2019-04-25

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright

Last modified

• 2023-01-19