复合固体推进剂非线性粘弹本构方程的微观力学分析

Micromechanics Analysis on Nonlinear Viscoelastics Constitutive Model for Composite Solid Propellant

在填充颗粒为弹性硬颗粒的条件下，本文成功地将Eshelby的等效夹杂理论及相应的平均化方法推广应用于研究复合固体推进剂的非线性粘弹性本构方程。结果表明，复合固体推进剂的非线性本构关系可以用基体的本构关系与一个增强系数的乘积月来表示，β只与颗粒的形状、体积分数及泊松比有关。本文的结论具有重要的工程应用价值。

The equivalent inclusion theroy is introduced and extended to investigate the nonlinearmechanical behavior of composite solid propellant (CSP) in the case of hard fillers. According to thisanalysis,a nonlinear viscoelastic constitutive relationship is obtaincd for CSP from constituent propertiesby the average method. The rusult shows that CSP nonlinear viscoelastic constitute equation is equal tothat of its matrices multlplied by a reinforccd factor β, which only depends upon the particle shapc,matrices' Possion ratio and the volume fraction of fillers.