Effective properties of magneto-electro-elastic two-dimensional cellular solids

Two-dimensional cellular solids composed of magneto-electro-elastic (MEE) materials were studied using the finite element method (FEM). A MATLAB code was written to implement field models to determine the effective properties for this cellular solid including elastic, piezoelectric, piezomagnetic, thermal, pyroelectric and pyromagnetic effective properties as a function of the relative density. Results obtained for purely elastic properties were compared with results from other studies and showed good agreement. Varying microstructures of the cellular solids including square, equilateral triangle and hexagonal systems, were considered and comparisons between the results of all the geometries were established. The triangular cellular solid was the stiffest among all shapes, and the regular hexagon cellular solid showed the highest effective coupling constants for the piezoelectric, piezomagnetic, pyroelectric and pyromagnetic coefficients. The thermal expansion coefficient was found to be independent from the relative density and was constant for all the MEE cellular solid shapes. A set of simple equations are proposed to approximate the effective properties for these low density MEE solids.

Name thesis:degree_name

Master of Science (M.S.)

Level thesis:degree_level

Masters

Discipline thesis:degree_discipline

Civil and Environmental Engineering

Grantor dc:publisher

Colorado State University. Libraries

Year dc:date.issued

2016

Authors dc:creator

• Khattab, Mustafa M., author
• Heyliger, Paul, advisor
• Ellingwood, Bruce, committee member
• Puttlitz, Christian, committee member

• effective properties
• MEE materials
• cellular solids
• piezoelectric
• honeycomb

Statement dc:rights

• Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.

Language dc:language.iso

eng, English

Identifier URI

https://doi.org/10.25675/3.018567

OAI identifier oai:identifier

oai:mountainscholar.org:10217/173472