摘要
本文讨论粘弹性问题用有限元求解时的数值稳定性及步长判据.根据微分方程理论,得出了保持解的稳定性的步长判据,它和材料性质以及单元在高斯积分点上的瞬时应力值与温度值有关.采用本文给出的步长确定方法所计算的粘弹性时域问题的实例表明,计算效率很高.
This paper discusses the numerical stability and time step criterion for the finite element solution of viscoelastic problems.Based on the conven- tional theory of differential equations the critical time step which guarantees the stability of the solution is found to be dependent on the material properties, temperature and the transient level of stress at the Gaussiaan integration points of the elements.The time dependent example solutions of viscoelastic problems are obtained by use of the presented method of step determination, and good efficiency is shown in computations.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
1989年第3期102-108,共7页
Journal of Southeast University：Natural Science Edition
关键词
变温
热应力
粘弹性
数值
稳定性
numerical solution
stability(mathematics)
finite element analysis
thermal stress
creep
