【摘要】 基于Monte Carlo随机摆放方法,建立颗粒填充型两相复合材料的随机分布模型。应用有限差分法对导热微分方程进行离散,获得差分格式的热传导方程。将复合材料模型中的微观随机结构单元的数据信息导入计算机,应用循环迭代法对差分格式热传导方程进行求解,实现了对二维稳态导热温度场的数值模拟。采用此方法对可以理论求解的特殊情形进行模拟验证,结果表明其准确可靠。同时模拟了导热增强颗粒含量、颗粒与基体的导热系数比对复合材料有效导热系数的影响,并将模拟结果与Maxwell-Eucken、Bruggeman模型进行了比较,发现该方法的模拟结果在低填充量时与Maxwell-Eucken模型、在高填充量时与Bruggeman模型吻合良好。研究表明所述方法能够较好地计算颗粒填充型复合材料的导热系数。更多还原

【Abstract】 Based on Monte Carlo′s random placed method,the model of particle filled composite was established.The finite difference method was used to discrete the heat conduction equation to obtain the explicit scheme of difference equation.The numerical simulation of the steady heat conduction in 2Dfield was done by reading the microscope random structure unit of the composite model into the computer and then solving the difference equation by cyclic iteration.This method was proved to be effective by using it to simulate the special model which can be calculated theoretically.Moreover,the effects of the thermal conductivity ratio of particle filler to matrix and the particle volume fraction on the effective thermal conductivity of the composite were simulated.The results of the Maxwell-Eucken equation,the Bruggeman equation and the simulation were shown in the figure,exhibiting the consistencies of the simulated results with the Maxwell-Eucken model at low particle volume fraction and with the Bruggeman model at high particle volume fraction.The presented method can be used to predict the effective thermal conductivity of particle filled composites.更多还原