| 粘塑性统一本构方程数值积分方法研究 |
| |
| 引用本文： | 杨显杰,孙训方.粘塑性统一本构方程数值积分方法研究[J].西南交通大学学报,1992,5(6):27-32. |
| |
| 作者姓名： | 杨显杰 孙训方 |
| |
| 作者单位： | 西安交通大学应用力学研究所，西安交通大学应用力学研究所 |
| |
| 摘 要： | 本文提出了对粘塑性统一本构方程的隐式欧拉积分进行牛顿一拉夫森迭代的数值积
分方法.推导出该数值积分的统一迭代格式;给出自动选取步长以及迭代收敛的准
则;并对卜。uer的统一本构方程进行了数值求解。该法不但非常有效地克服了由于常
微分方程组的刚性带来的数值困难，而且还易于控制数值误差。计算结果表明:本文
所提出的方法是十分有效的.
|
| 关 键 词： | 隐式积分 粘塑性 统一本构方程 |
A Numerical Integration Method for Unified Viscoplastic Constitutive Equations |
| |
| Yang Xianjie,Sun Xunfang Res.Inst.of Appl.Mech.A Numerical Integration Method for Unified Viscoplastic Constitutive Equations[J].Journal of Southwest Jiaotong University,1992,5(6):27-32. |
| |
| Authors: | Yang Xianjie Sun Xunfang ResInstof ApplMech |
| |
| Affiliation: | Yang Xianjie;Sun Xunfang Res.Inst.of Appl.Mech |
| |
| Abstract: | The paper presents an implicit Euler's numerical integration method with Newton- Raphson iterations to integrate unified viscoplastic constitutive equations. The method not only can effectively overcome the numerical difficulty due to the stiff character of the ordinary differential equations, but also can easily control the numerical errors. A unified iterative scheme of the numerical integrations is derived, and the criteria of choosing automatically time steps and of iterative convergence are introduced. The numerical solution procedures are operated for Miller's unified viscoplatic constitutive equations, with results showing the effectiveness of method. |
| |
| Keywords: | Implicit integration viscopasticity unified constitutive equations |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《西南交通大学学报》浏览原始摘要信息 |
|
点击此处可从《西南交通大学学报》下载全文 |
