固体推进剂药柱的近似不可压缩粘弹性增量有限元法

Near-Incompressible Viscoelastic Incremental Finite Element Analysis of Solid Propellant Grains

固体推进剂的泊松比一般接近于 0 .5,材料近似于不可压缩 ,以常用的有限元法进行结构分析 ,精度不能保证。本文利用适用于不可压缩材料的粘弹性本构关系 ,发展了一种粘弹增量有限元法 ,所需存储空间较少 ,算例表明即使泊松比为 0 .5也有较高的计算精度 ,适用于固体推进剂药柱的结构分析。

Solid propellant is near incompressible because of its high Poisson ratio.It is difficult to analyze the structure with common finite element method for its low accuracy and efficiency.The paper develops a new type of viscoelastic incremental finite element method based on some incompressible and near incompressible viscoelastic constitutive relation.The innovative method needs less memory space and provides high precision.It is suitable for structural analysis of solid rocket propellant grains.