In this article inspired by the non-local theory of elasticity, a constitutive model for heat conduction in two-dimensional materials is proposed by taking into account the non-local effect of heat flux. Based on this model an analytical expression of the effective thermal conductivity of two-dimensional materials is derived. Theoretical results show that the effective thermal conductivity of two-dimensional material is greater than its bulk counterpart, which is caused by the non-local effect of heat flow. The calculated effective thermal conductivity of the suspended single-layer graphene at the room temperature shows a good agreement with the experimental result.

中文翻译：

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二维材料中的热传导

本文受非局域弹性理论的启发，考虑了热通量的非局域效应，提出了二维材料热传导的本构模型。基于该模型，推导出二维材料有效热导率的解析表达式。理论结果表明，二维材料的有效热导率大于其本体，这是由热流的非局部效应引起的。计算的悬浮单层石墨烯在室温下的有效热导率与实验结果吻合良好。