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Multiscale asymptotic homogenization analysis of thermo-diffusive composite materials

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)

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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.

Item Type: Article
Identification Number: 10.1016/j.ijsolstr.2016.01.016
Additional Information: Available online 4 February 2016
Projects: FIRB project 2010 “Structural mechanics models for renewable energy applications”
Uncontrolled Keywords: Periodic microstructure; Asymptotic homogenization; Thermodiffusion; Overall material properties
Subjects: T Technology > T Technology (General)
T Technology > TA Engineering (General). Civil engineering (General)
Research Area: Computer Science and Applications
Depositing User: Caterina Tangheroni
Date Deposited: 11 Mar 2016 12:02
Last Modified: 04 May 2016 09:53
URI: http://eprints.imtlucca.it/id/eprint/3212

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