基于三维细观随机模型的碳纳米颗粒/聚合物力电响应模拟  

Simulation of Electro-mechanical Response of Carbon Nanoparticle Filled Polymers Based on Three-dimensional Meso Random Model

作　　者：王柱 左彦江 王俊璞 WANG Zhu;ZUO Yanjiang;WANG Junpu(College of Mechanical and Electrical Engineering,Shaanxi University of Science and Technology,Xi’an 710021,China;State Key Laboratory for Strength and Vibration of Mechanical Structures,Xi’an 710049,China)

机构地区：[1]陕西科技大学机电工程学院,陕西西安710021 [2]机械结构强度与振动国家重点实验室,陕西西安710049

出　　处：《材料科学与工程学报》2024年第3期435-441,共7页Journal of Materials Science and Engineering

基　　金：国家自然科学基金资助项目(11702209);陕西省自然科学基础研究计划资助项目(2019JQ-400,2021JQ-547)。

摘　　要：针对碳纳米颗粒聚合物内部导电颗粒随机分布且结构复杂的特点,本研究提出一种结合细观有限元分析与材料微观等效电路电阻计算的方法,对其力电响应行为进行模拟。首先,借助ABAQUS二次开发及改进型最近距离算法,建立碳纳米颗粒聚合物材料的代表性体积单元模型,通过有限元分析得到不同加载条件下相邻导电聚集体的间距变化。其次,通过转换矩阵法及隧穿电阻公式,对该复合材料所简化的随机电阻网络进行等效电阻的计算。最终以相邻导电聚集体间距为纽带,将导电聚合物电阻与全局应力相关联,得到其力电响应曲线。为验证该方法的有效性,以CB3100/硅橡胶材料为例,分别计算了不同轴向压缩应力下导电复合材料的电阻,并与文献中的数据进行对比。结果表明,该方法不仅能够有效模拟碳纳米颗粒聚合物的力电响应,且从细观尺度揭示了其应变传感机制。A method combining finite element analysis and resistance calculation of equivalent microcircuit networks is proposed to simulate the coupling electromechanical behavior of carbon nanoparticles filled polymer.Firstly,according to the improved nearest distance algorithm,a representative volume element model of carbon nanoparticles filled polymer is established by the secondary development of ABAQUS.The changes of junction width between two nearby aggregates under different loading conditions are obtained by the finite element analysis.Then,the composite is simplified as a 3D micro-circuit network comprised of vast random resistors,and the equivalent resistance is calculated by the transfer-matrix method and the tunneling resistance formula.Finally,the resistance of composite is related to the global stress by the junction width of adjacent aggregates,and the resistance-stress curve is obtained.To verify the approach,a composite of CB3100 filled silicone rubber is simulated under different axial compressive stresses,and the results are compared with the experimental and numerical data in reference.The results show that this method can not only effectively simulate the electromechanical behavior of carbon nanoparticles filled polymers,but also reveal the strain sensing mechanism in the meso-scale.

关 键 词：碳纳米颗粒聚合物 代表性体积单元 细观有限元 微观随机电阻网络 力电响应 

分 类 号：TB332[一般工业技术—材料科学与工程]