摘要
将大变形增量问题的ＴｏｔａｌＬａｇｒａｎｇｉａｎ法应用于粘弹性结构的动力响应分析。利用Ｐｒｏｎｙ级数导出以Ｋｉｒｃｈｈｏｆｆ应力和Ｇｒｅｅｎ应变表示的粘弹性积分型增量本构方程及其递推公式，从而给出一种计算三维粘弹性大变形动力响应的有限元增量迭加方法。经算例验证，所述方法及其相应程度具有机器内存少、计算量小和效率高的优点。
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.
出处
《推进技术》
EI
CAS
CSCD
北大核心
1994年第3期21-27,共7页
Journal of Propulsion Technology
关键词
粘弹性
应力应变关系
有限元法
Viscoelasticity
Stress-Strain relationship
Stress computation
Finite element method
Dynamic response
Solid propellant
