LAUSR

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.