关键词: 粘弹性;应力－应变关系;应力计算;有限元法;动态响应;固体推进剂

Abstract: The Total-Lagrangian approach of large deformation increment is used in dynamic response analysis of viscoelastic structures. The viscoelastic integral constitutive relation and a recurrence formula denoted by the Kirchhoff stress-Green strain are derivid from Prony series on incremental form. A finite element incremental superposition method for dynamic response of three dimensional viscoelastic large deformation is given. It is proved by examples that the approach given in this paper has some advantages in decreasing computer storage and calculation amount, and increasing calculation efficiency.

Key words: Viscoelasticity;Stress-Strain relationship;Stress computation;Finite element method;Dynamic response;Solid propellant