RT Journal Article ID 47cc0dbf19026881 A1 Vallicotti, Daniel A1 Sridhar, Ashish A1 Keip, Marc-Andre T1 VARIATIONALLY CONSISTENT COMPUTATIONAL HOMOGENIZATION OF MICRO-ELECTRO-MECHANICS AT FINITE DEFORMATIONS JF International Journal for Multiscale Computational Engineering JO JMC YR 2018 FD 2018-08-13 VO 16 IS 4 SP 377 OP 395 K1 variational principles K1 micro-electro-mechanics K1 finite deformations K1 computational homogenization K1 phase-field modeling K1 finite-element method AB This paper presents a variationally consistent approach of computational homogenization to large-deformation micro-electro-mechanics. It links a phase-field model for micro-structure evolution in ferroelectrics to an electro-mechanical macro-continuum by extending existing small-strain approaches to finite deformations. The variationally consistent two-scale solution scheme is based on a rate-type variational principle that incorporates the polarization as microscopic order parameter. It enables combined electro-mechanical loading conditions of representative volume elements by means of a generalized macroscopic driving routine. The proposed scheme allows for the computation of effective quantities such as stresses and electric displacements as well as the associated moduli. These quantities directly depend on the domain configurations of the ferroelectric phases at the micro-level. We demonstrate the capabilities of the proposed formulation by a set of academic numerical examples that showcase the considered electro-mechanical coupling phenomena at micro- and macro-scale. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,77bb56c9113fd8ad,47cc0dbf19026881.html