eprintid: 3211
rev_number: 9
eprint_status: archive
userid: 69
dir: disk0/00/00/32/11
datestamp: 2016-03-11 11:59:12
lastmod: 2016-03-11 11:59:12
status_changed: 2016-03-11 11:59:12
type: monograph
metadata_visibility: no_search
creators_name: Bacigalupo, Andrea
creators_name: Morini, Lorenzo
creators_name: Piccolroaz, Amdrea
creators_id: andrea.bacigalupo@imtlucca.it
creators_id: lorenzo.morini@imtlucca.it
creators_id: 
title: Multiscale asymptotic homogenization analysis of thermo-diffusive composite materials
ispublished: submitted
subjects: T1
subjects: TA
divisions: CSA
full_text_status: public
monograph_type: working_paper
abstract: In this paper an asymptotic homogenization method for the analysis of composite materials with periodic microstructure in presence of thermodiffusion is described. Appropriate down-scaling relations correlating the microscopic fields to the macroscopic displacements, temperature and mass concentration are introduced. The effects of the material inhomogeneities are described by perturbation functions derived from the solution of recursive cell problems. Exact expressions for the overall elastic and thermodiffusive constants of the equivalent first order thermodiffusive continuum are derived. The proposed approach is applied to the case of a two-dimensional bi-phase orthotropic layered material, where the effective elastic and thermodiffusive properties can be determined analytically. Considering this illustrative example and assuming periodic body forces, heat and mass sources acting on the medium, the solution performed by the first order homogenization approach is compared with the numerical results obtained by the heterogeneous model.
date: 2015
date_type: published
publisher: arXiv
pages: 40
institution: IMT Institute for Advanced Studies Lucca
official_url: http://arxiv.org/abs/1503.09128
citation:   Bacigalupo, Andrea and Morini, Lorenzo and Piccolroaz, Amdrea  Multiscale asymptotic homogenization analysis of thermo-diffusive composite materials.  Working Paper   arXiv       (Submitted)   
document_url: http://eprints.imtlucca.it/3211/1/1503.09128v3.pdf