Effective properties of magneto-electro-elastic two-dimensional cellular solids
Date
2016
Authors
Khattab, Mustafa M., author
Heyliger, Paul, advisor
Ellingwood, Bruce, committee member
Puttlitz, Christian, committee member
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Abstract
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.
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Subject
effective properties
MEE materials
cellular solids
piezoelectric
honeycomb