Some simple explicit results for the elastic dielectric properties and stability of layered composites

Electroactive materials;Piezoelectric materials;Homogenization;Finite strain;Bifurcation

Spinelli, Stephen ; Lopez-Pamies ; Oscar

关键词: Electroactive materials;    Piezoelectric materials;    Homogenization;    Finite strain;    Bifurcation;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/49770/Stephen_Spinelli.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

A string of partial results — aimed at shedding light on the behavior of dielectric elastomer composites — have been recentlyreported in the literature for the macroscopic electroelastic response and stability of layered composites with ideal elastic dielectric phases. Such results have been restricted to two phasesand plane-strain loading conditions. It is the purpose of this thesis to place on record simple explicit expressions for the macroscopic electroelastic response and stability of layered compositeswith any number of ideal elastic dielectric phases under generalelectromechanical loading conditions. Inter alia, these expressions provide insight into a variety of practical and theoreticalissues in relation to the modeling of elastic dielectric compositeswith anisotropic microstructures, ranging from the choice of invariants to describe their free energy function to the effects ofinterphasial phenomena.This thesis also places on record the conditions of ordinary andstrong ellipticity for elastic dielectrics in full generality.