Numerization of a memory effect for an homogenized composite material with a large contrast in the phase thermal conductivities

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.
  • A transient thermal solution at micro-scale to determine the memory effect macroscopic function
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David Dureisseix, Pascale Royer, Béatrice Faverjon. Numerization of a memory effect for an homogenized composite material with a large contrast in the phase thermal conductivities. International Journal of Heat and Mass Transfer, Elsevier, 2015, 90, pp.140-148. ⟨10.1016/j.ijheatmasstransfer.2015.06.048⟩. ⟨hal-01171181⟩

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