Enhancement of elasto-dielectrics by homogenization of active charges

Gilles A. Francfort, Antoine Gloria, Oscar Lopez-Pamies

Research output: Contribution to journalArticlepeer-review


We investigate the PDE system resulting from even electromechanical coupling in elastomers. Assuming a periodic microstructure and a periodic distribution of micro-charges of a prescribed order, we derive the homogenized system. The results depend crucially on periodicity (or adequate randomness) and on the type of microstructure under consideration. We also show electric enhancement if the charges are carefully tailored to the homogenized electric field and explicit that enhancement, as well as the corresponding electrostrictive enhancement in a dilute regime.

Original languageEnglish (US)
Pages (from-to)392-419
Number of pages28
JournalJournal des Mathematiques Pures et Appliquees
StatePublished - Dec 2021


  • Dilute regime
  • Elliptic regularity
  • Homogenization

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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