Bacigalupo, Andrea and Morini, Lorenzo and Piccolroaz, Amdrea Multiscale asymptotic homogenization analysis of thermo-diffusive composite materials. Working Paper arXiv (Submitted)
 | There is a more recent version of this item available. |
|
PDF
- Submitted Version
Available under License Creative Commons Attribution Non-commercial. Download (1MB) | Preview |
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.
| Item Type: | Working Paper (Working Paper) |
|---|---|
| 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 11:59 |
| Last Modified: | 11 Mar 2016 11:59 |
| URI: | http://eprints.imtlucca.it/id/eprint/3211 |
Available Versions of this Item
- Multiscale asymptotic homogenization analysis of thermo-diffusive composite materials. (deposited 11 Mar 2016 11:59) [Currently Displayed]
Actions (login required)
 |
Edit Item |
