关键词: Total-Lagrangian法, 粘弹性, 固体火箭发动机

Abstract:

Using the Virtual work principle of Total-Lagrangian approach and constitutive relation represented by Kirchhoff stress tensors and Green strain tensors, the finite element formulations for three-dimensional viscoelastic large deformation stress analysis are derived. Compared with Updated-Lagrangian approach, the continued equilibrium equation is rather simple and modifying the nodal coordinates after every increment step can be avoided. By use of these equations the stress and deformation of solid rocket engine under pressure are calculated in detail.

Key words: Total-Lagrangian approach, viscoelasticity, solid rocket engine