空心颗粒填充复合材料的建模与弹塑性仿真计算

空心玻璃微珠（hollow glass microballon，简称HGM）填充复合材料称为复合泡沫材料，近来已被广泛应用在工业中。利用RSA(Random Sequential Adsorption)方法生成了含不同体积比的HGMs填充代表体元模型，然后用有限元方法计算得出了材料的应力-应变关系，将材料属性简化为双线性随动强化模型，分析了HGM填充比、壁厚对材料的有效弹性常数、屈服极限的影响，并分析了材料内部细观应力场和塑性应变分布情况。结果发现，HGM壁厚比对材料有效弹性模量和屈服极限的增减起着决定性作用，而对于任意填充模式来说，其比模量和比强度总是大于纯树脂，这一点体现了该材料轻质的优良特性。材料基体的应力集中部位分布以及塑性应变区域的分布也取决于HGM的壁厚比。

Modeling and elastoplastic simulation of hollow particle filled composites

Syntactic foams are particulate composites obtained by filling a polymeric matrix with hollow glass microballons (HGMs). RSA (Random Sequential Adsorption) method was used to generate the representative volume element models of syntactic foams. Through the finite element analysis, the stress-strain relationship of each type of syntactic foams was obtained. Material properties of syntactic foams were simplified to bilinear kinematic hardening model. The effects of HGM filling ratio and wall-thickness to the elastic constants and yield stress of syntactic foams were analyzed. Results show that wall-thickness ratio of HGM plays a crucial role in the effective Young’s modulus and yield stress. The higher specific modulus and specific strength characterize the good performances of syntactic foams. Distributions of stress and plastic strain depend on the HGMs wall-thickness also.