中文摘要：

采用代表体积元法，建立了炸药颗粒圆形随机分布和六边形规则分布细观力学模型，通过ANSYS有限元软件对PBX炸药的有效弹性模量进行了计算，计算结果和实验结果吻合较好．计算分析了炸药颗粒的性质、体积分数、形状和级配以及黏结剂性质等因素对PBX炸药有效弹性模量的影响．结果表明，炸药颗粒形状和分布方式对PBX炸药的有效弹性模量影响较小；颗粒级配对PBX炸药的有效弹性模量影响较大．PBX炸药的有效弹性模量随炸药颗粒体积分数以及弹性模量的增加而增大，在炸药颗粒体积分数较高时，炸药颗粒性质对PBX炸药有效弹性模量的影响较明显．黏结剂的体积分数虽然很少，但黏结剂的弹性模量对PBX炸药有效弹性模量的影响较大．

英文摘要：

With the representative volume element, the random circular and hexagon models of explosive particles were set up in finite element software-ANSYS. Numerical simulation was implemented to study the effective elastic modulus of polymer-bonded explosives （PBXs）. The prediction of effective elastic modulus agreed well with the experimental results. The effects of properties, volume fraction, shape and gradation of explosive particles as well as the properties of binder on the effective elastic modulus of PBXs were studied. The results show that the particle＇s size and shape have a minor influence on the effective elastic modulus of PBXs~ however, the gradation of explosive particles play a major role in elastic modulus of PBXs. Results also show that the effective elastic modulus of PBXs increase with the increase of volume fraction and elastic modulus of explosive particles. At the higher volume fraction of explosive particles, the property of particles plays an important role in the effective elastic modulus of PBX. The volume fraction of binder is small; however, the elastic modulus of binder also has an obvious effect on the effective elastic modulus of PBX.