本文首先从弹性——粘弹性的相似性出发,导出张量形式的三维线性热粘弹本构方程,然后根据虚功原理建立相应的有限元公式,最后编制了平面应变条件下的有限元分析程序TVE,并计算了二个实例。计算结果表明所介绍的分析方法与计算程序具有相当高的精度,可用于固体推进剂药柱在固化冷却过程巾的应力分析。 Based on the similarity of elasticity and viscoelasticity, this paper derives tensor form of three-dimensional linear viscoelastic constitutive equation, and then establishes the corresponding finite element formula according to the principle of virtual work. At last, the finite element analysis Program TVE, and calculated two examples. The calculation results show that the analysis method and calculation program presented are of high precision and can be used for the stress analysis of the solid propellant grains during the solidification and cooling process.