Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions
Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions
复制标题
DOI：
10.1007/s10704-017-0210-6
复制
发表时间：
2017-08-01
影响因子：
2.5
通讯作者：
Rabczuk, Timon
中科院分区：
文献类型：
--
作者：
Hamdia, Khader M.;Silani, Mohammad;Rabczuk, Timon
断裂能是测量材料抵抗裂纹生长的能力的实质性材料性质。纳米填料对环氧聚合物的增强显著提高了其韧性。所制备的聚合物纳米复合材料的断裂机制受到不同参数的影响。本文提出了一种聚合物/颗粒纳米复合材料的断裂随机建模方法。为此，我们生成了一个二维有限元模型，其中包含环氧树脂基体和由界面区包围的刚性纳米颗粒。裂纹扩展采用虚拟节点法模拟。随机模型是基于六个不确定的参数：纳米粒子的体积分数和直径，杨氏模量和环氧树脂基体的最大允许主应力，界面区的厚度和它的杨氏模量。考虑输入参数的不确定性，构造了多项式混沌扩展代理模型，并进行了灵敏度分析。断裂能的方差主要受环氧树脂基体的最大允许主应力和杨氏模量的影响。
The fracture energy is a substantial material property that measures the ability of materials to resist crack growth. The reinforcement of the epoxy polymers by nanosize fillers improves significantly their toughness. The fracture mechanism of the produced polymeric nanocomposites is influenced by different parameters. This paper presents a methodology for stochastic modelling of the fracture in polymer/particle nanocomposites. For this purpose, we generated a 2D finite element model containing an epoxy matrix and rigid nanoparticles surrounded by an interphase zone. The crack propagation was modelled by the phantom node method. The stochastic model is based on six uncertain parameters: the volume fraction and the diameter of the nanoparticles, Young's modulus and the maximum allowable principal stress of the epoxy matrix, the interphase zone thickness and its Young's modulus. Considering the uncertainties in input parameters, a polynomial chaos expansion surrogate model is constructed followed by a sensitivity analysis. The variance in the fracture energy was mostly influenced by the maximum allowable principal stress and Young's modulus of the epoxy matrix.