In this study, models are developed to predict the mechanical behavior of porous polymer‐based membranes, since they are exposed to temperature and pressure load under service conditions. To the best of our knowledge, existing studies related to numerical simulations of mechanical behavior of polymer nanocomposites do not explicitly report porosity in the modeling. Hence, the proposed models attempt to explicitly examine the effect of porosity. The first model predicts the elastic modulus of porous polymer nanocomposites which is based on Weibull statistical analysis. The results show the combined effects of fillers content and porosity on the modulus. The second model predicts the yield stress for porous polymer nanocomposites. The coupled effects of fillers content and porosity on the yield stress is examined via our proposed extension of the cooperative model. A parametric study is conducted to show the influence of a single parameter used to model the influence of porosity.

中文翻译：

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建模聚合物和纳米填充聚合物的机械响应：孔隙率和填料含量的影响

在这项研究中，开发了模型来预测多孔聚合物基膜的机械性能，因为它们在使用条件下会承受温度和压力负荷。据我们所知，与聚合物纳米复合材料力学行为数值模拟相关的现有研究未明确报告建模中的孔隙率。因此，提出的模型试图明确检查孔隙率的影响。第一个模型基于Weibull统计分析预测多孔聚合物纳米复合材料的弹性模量。结果表明填料含量和孔隙率对模量的综合影响。第二个模型预测了多孔聚合物纳米复合材料的屈服应力。通过我们提议的合作模型扩展，研究了填料含量和孔隙率对屈服应力的耦合效应。进行了参数研究，以显示用于模拟孔隙度影响的单个参数的影响。