[1]佘颖禾,顾镭.考虑变温的粘弹性问题数值解的稳定性[J].东南大学学报(自然科学版),1989,19(3):102-108.[doi:10.3969/j.issn.1001-0505.1989.03.015]
 She Yinghe Gu Lei (Department of Mathematics and Mechanics).On the Stability of the Numerical Solution of Viscoelastic Problem with Varying Temperature[J].Journal of Southeast University (Natural Science Edition),1989,19(3):102-108.[doi:10.3969/j.issn.1001-0505.1989.03.015]
点击复制

考虑变温的粘弹性问题数值解的稳定性()
分享到:

《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
19
期数:
1989年第3期
页码:
102-108
栏目:
本刊信息
出版日期:
1989-05-20

文章信息/Info

Title:
On the Stability of the Numerical Solution of Viscoelastic Problem with Varying Temperature
作者:
佘颖禾顾镭
东南大学数学力学系; 东南大学数学力学系
Author(s):
She Yinghe Gu Lei (Department of Mathematics and Mechanics)
关键词:
数值解 稳定性(数学) 有限元分析 热应力 蠕变
Keywords:
numerical solution stability(mathematics) finite element analysis thermal stress creep
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1989.03.015
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.
Abstract:
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.
更新日期/Last Update: 2013-04-30