固体火箭发动机药柱大变形数值分析

NUMERICAL ANALYSIS OF GRAIN LARGE DEFORMATION FOR SOLID ROCKET MOTOR

本文采用基于 Swanson积分型非线性粘弹性本构关系 ,提出了改进的非线性粘弹性本构模型并推导了一种新的增量型关系式 ,对 Poisson比是否与时间 t有关均适用 ,同时考虑时温等效与推进剂材料的可压缩性 ;应用 T.L.法的虚功方程 ,推导出了三维热粘弹静力问题的有限元列式。最后 ,通过编制的有限元程序对算例进行了分析 ,展示了固体发动机装药的力学特性 ,表明该方法的正确性和实用性。

Based on Swanson's integral nonlinear viscoelastic constitutive relationship,improved nonlinear viscoelastic constitutive model is presented and modified incremental constitutive relationship is derived which is applicable no matter Poisson ratio depends on time and time temperature equivalent effects as well as compressibility of propellant are incorporated. With virtual work equation of T.L. method, three dimensional viscoelastic finite element (FE) algorithm to static problems is derived. Finally the 1/14 scale three dimensional modeling and simulation are done, and results accord with variation rule of stress and strain of curing state of solid and it proves that the mechanical model is academic.