  This paper focuses on the homogenization of high-contrast dielectric
elastomer composites, materials that deform in response to electrical
stimulation. The considered heterogeneous material consisting of an ambient
material with inserted particles is described by a weakly coupled system of an
electrostatic equation with an elastic equation enriched with electrostriction.
It is assumed that particles gradually become rigid as the fine-scale parameter
approaches zero. This study demonstrates that the effective response of this
system entails a homogeneous dielectric elastomer, described by a weakly
coupled system of PDEs. The coefficients of the homogenized equations are
dependent on various factors, including the composite's geometry, the original
microstructure's periodicity, and the coefficients characterizing the initial
heterogeneous material. Particularly, these coefficients are significantly
influenced by the high-contrast nature of the fine-scale problem's
coefficients. Consequently, as anticipated, the high-contrast coefficients of
the original yield non-local effects in the homogenized response.
