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

机译:均质复合材料的记忆效应的数字化,其相热导率具有很大的反差

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摘要

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.
机译:在本文中,我们提出了一种系统的数值求解方法,用于在相热特性的大对比度导致宏观记忆效应的情况下推导均质材料参数。因此,重点放在确定周期性微观结构的这种记忆效应上。至于其他更经典的均质化参数,则可以使用有限元方法分析单个周期单元,并且通过瞬态仿真可以提供记忆效应函数的增量演化。此外,针对此函数的低成本估算提出了一些近似值,并在两个示例中进行了验证。

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