Overall thermomechanical properties of layered materials for energy devices applications

Abstract

This paper is concerned with the analysis of effective thermomechanical properties of multilayered materials of interest for solid oxide fuel cells (SOFC) and lithium ions batteries fabrication. The recently developed asymptotic homogenization procedure is applied in order to express the overall thermoelastic constants of the first order equivalent continuum in terms of microfluctuations functions, and these functions are obtained by the solution of the corresponding recursive cell problems. The effects of thermal stresses on periodic multi-layered thermoelastic composite reproducing the characteristics of solid oxide fuel cells (SOFC-like) are studied assuming periodic body forces and heat sources, and the solution derived by means of the asymptotic homogenization approach is compared with the results obtained by finite elements analysis of the associate heterogeneous material.

The generalized Floquet-Bloch spectrum for periodic thermodiffusive layered materials

“…Solution of the general characteristic equation ( 40) is performed in the followings for thermodiffusive multilayered systems of interest for engineering and technology applications. In particular, the behaviour of a thermodiffusive bi-layered composite which can be used in the fabrication of solid oxide fuel cells (SOFCs) (Bacigalupo et al, 2014(Bacigalupo et al, , 2016bFantoni and Bacigalupo, 2020), is explored. Focusing the attention upon spatial damping inside the system, the linear eigenvalue problem (39) has been solved in terms of the Floquet multiplier λ.…”

Computation of effective piezoelectric properties of stratified composites and application to wave propagation analysis

“…The extension of homogenization method to thermo-piezoelectric media has been considered in [10,20] while further extensions to the case of elastic materials in the presence of thermo-diffusion phenomena are proposed in (Bacigalupo et al [36][37][38] ). Extensions of the kind have been primarily computationally-based (Pettermann and Suresh; [40] Schröder and Keip; [41] Zäh and Miehe [42] ), lacking the ability to provide closed-form insights in the multiscale mechanical behaviour.…”

Identification of higher-order continua equivalent to a Cauchy elastic composite

“…In this way, the length scales of the higher-order continuum are not postulated, but determined through the identification procedure, so that they become related to the microstructural geometry of the heterogeneous Cauchy material. The schemes proposed so far for attacking this problem can be distinguished in three categories, namely, asymptotic homogenization approaches [2,3,11,15,16,17,19,20,21,25,29,42,46,50], variational asymptotic schemes [9,12,13,14,47,48,49,53] and several identification techniques, including analytical [5,6,7,10,18,38] $ Dedicated to Gérard A. Maugin and computational approaches [1,8,24,26,27,28,30,34,35,36,45,51,52,54]. The asymptotic approaches are elegant, rigorous and have been shown to yield very accurate results, but they are complex and often of very difficult implementation.…”