Two-scale computational homogenization of electro-elasticity at finite strains

Keip, M.-A., Steinmann, P. and Schroder, J. (2014) Two-scale computational homogenization of electro-elasticity at finite strains. Computer Methods in Applied Mechanics and Engineering, 278, pp. 62-79. (doi: 10.1016/j.cma.2014.04.020)

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Abstract

This contribution addresses a two-scale computational homogenization framework for the simulation of electro-active solids at finite strains. A generalized form of the Hill-Mandel condition is employed for the derivation of energetically consistent transition conditions between the scales. The continuum mechanical formulation is implemented into a two-scale finite element environment, in which we attach a microscopic representative volume element at each integration point of the macroscopic domain. In order to allow for an efficient solution of the macroscopic boundary value problem an algorithmically consistent tangent of the macroscopic problem is derived. The method will be applied to the analysis of dielectric polymer-ceramic composites, where we determine the effective actuation of composites with different microstructures. Furthermore, we show the applicability of the proposed method to the computation of two-scale electro-mechanically coupled boundary value problems in consideration of large deformations.

Item Type:Articles
Additional Information:The financial support of the German Research Foundation (DFG) in the framework of the Research Group FOR 1509 “Ferroic Functional Materials - Multiscale Modeling and Experimental Characterization” (projects SCHR 570/12-1 and STE 544/47-1) as well as in the framework of the Cluster of Excellence in “Simulation Technology” (EXC 310/2) at the University of Stuttgart, are gratefully acknowledged.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Keip, M.-A., Steinmann, P., and Schroder, J.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computer Methods in Applied Mechanics and Engineering
Publisher:Elsevier
ISSN:0045-7825
ISSN (Online):1879-2138
Published Online:20 May 2014
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