eprintid: 3212 rev_number: 9 eprint_status: archive userid: 69 dir: disk0/00/00/32/12 datestamp: 2016-03-11 12:02:01 lastmod: 2016-05-04 09:53:37 status_changed: 2016-03-11 12:02:01 type: article succeeds: 3211 metadata_visibility: show 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: pub subjects: T1 subjects: TA divisions: CSA full_text_status: none monograph_type: working_paper keywords: Periodic microstructure; Asymptotic homogenization; Thermodiffusion; Overall material properties note: Available online 4 February 2016 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 chemical potential 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: 2016 date_type: published publication: International Journal of Solids and Structures volume: 85-86 publisher: Elsevier pagerange: 15-33 pages: 40 id_number: 10.1016/j.ijsolstr.2016.01.016 institution: IMT Institute for Advanced Studies Lucca refereed: TRUE issn: 0020-7683 official_url: http://www.sciencedirect.com/science/article/pii/S002076831600038X projects: FIRB project 2010 “Structural mechanics models for renewable energy applications” citation: Bacigalupo, Andrea and Morini, Lorenzo and Piccolroaz, Amdrea Multiscale asymptotic homogenization analysis of thermo-diffusive composite materials. International Journal of Solids and Structures, 85-86. pp. 15-33. ISSN 0020-7683 (2016)