Abstract
In this article, we propose a systematic numerical solution method for deriving the homogenized material parameters in the case where a large contrast in the phase thermal properties leads to a macroscopic memory effect. Focus is therefore set on the determination of this memory effect for a periodic microstructure. As for other and more classical homogenized parameters, the possibility of analyzing with the finite element method a single periodic cell is used, and a transient simulation allows to provide the incremental evolution of the memory effect function. Additionally, some approximations are proposed for a low cost estimate of this function, and validated on two examples.<table style=""width:100%""> <tr> <th> <ul> <li style=""margin-top:10px;"">A transient thermal solution at micro-scale to determine the memory effect macroscopic function</li> <img src=""https://hal.archives-ouvertes.fr/hal-01171181/file/cell2F_new.gif"";""> </ul> </th> </tr> </table>