Effective elastic properties of planar SOFCs: A non-local dynamic homogenization approach

TL;DR

This paper develops a non-local dynamic homogenization method to analyze the effective elastic and inertial properties of planar SOFCs, accounting for temperature effects and comparing results with Floquet-Bloch theory.

Contribution

It introduces a novel homogenization approach for multi-layered SOFCs, deriving explicit expressions for elastic and inertial properties considering temperature variations.

Findings

Derived explicit expressions for elastic moduli and inertial terms.

Analyzed the impact of temperature on elastic and inertial properties.

Compared homogenization results with Floquet-Bloch theory, validating the approach.

Abstract

The focus of the article is on the analysis of effective elastic properties of planar Solid Oxide Fuell Cell (SOFC) devices. An ideal periodic multi-layered composite (SOFC-like) reproducing the overall properties of multi-layer SOFC devices is defined. Adopting a non-local dynamic homogenization method, explicit expressions for overall elastic moduli and inertial terms of this material are derived in terms of micro-fluctuation functions. These micro-fluctuation function are then obtained solving the cell problems by means of finite element techniques. The effects of the temperature variation on overall elastic and inertial properties of the fuel cells are studied. Dispersion relations for acoustic waves in SOFC-like multilayered materials are derived as functions of the overall constants, and the results obtained by the proposed computational homogenization approach are compared with those provided by rigorous Floquet-Boch theory. Finally, the influence of the temperature and of the elastic properties variation on the Bloch spectrum is investigated.