The piezoresistive behavior of graphene conductive polymer composites is vital for the performance of smart-sensing materials. In this paper, a numerical method for predicting the piezoresistive properties of graphene rubber composites is established in which user subroutines include the quantum tunneling effect. A representative volume element (RVE) with randomly distributed graphene was constructed, taking into account the large deformation characteristics of the rubber matrix, which accurately predicted the conductivity, the percolation value, and the mechanical properties of the graphene rubber composites. Additionally, the strain sensing behavior of graphene rubber composites was calculated, which was in good agreement with the experimental results. The effects of the curved and crumpled graphene configuration, tunneling effect, and nanoparticle distribution on the piezoresistive response are discussed. These results play an essential role in evaluating and designing advanced smart rubber composites.

石墨烯导电聚合物复合材料的压阻性能对于智能传感材料的性能至关重要。本文建立了一种预测石墨烯橡胶复合材料压阻性能的数值方法，其中用户子程序包括量子隧穿效应。考虑到橡胶基体的大变形特性，构建了具有随机分布的石墨烯的代表性体积元素（RVE），可以精确地预测石墨烯橡胶复合材料的电导率，渗透值和机械性能。另外，计算了石墨烯橡胶复合材料的应变传感行为，与实验结果吻合良好。弯曲和皱折的石墨烯构型的影响，隧道效应，讨论了纳米颗粒对压阻响应的分布。这些结果在评估和设计高级智能橡胶复合材料中起着至关重要的作用。