| 胡志强,陈健云,陈万吉,林皋,李学文.弹塑性接触问题的非光滑非线性方程组方法[J].计算力学学报,2003,20(6):684~690 |
|
| 
码上扫一扫！ |
| 弹塑性接触问题的非光滑非线性方程组方法 |
| Elasto-plastic contact problem for nonsmooth nonlinear equations method |
| 修订日期：2002-03-20 |
| DOI：10.7511/jslx20036130 |
| 中文关键词: 非光滑非线性方程组 三维静力弹塑性摩擦接触 牛顿-拉斐尔迭代 接触约束条件 虚功方程 有限元离散 |
| 英文关键词:three-dimensional static elasto-plastic frictional contact,nonsmooth nonlinear equations method,Newton-Raphson method |
| 基金项目:国家自然科学基金(重点项目50139010，基金项目10172023)资助项目. |
| 胡志强 陈健云 陈万吉 林皋 李学文 |
| [1]大连理工大学土木水利学院工程抗震研究所，辽宁大连116024 [2]大连理工大学工程力学系，辽宁大连116024 [3]北京理工大学数学系，北京100081 |
| 摘要点击次数: 1638 |
| 全文下载次数: 10 |
| 中文摘要: |
| 将求解三维弹性摩擦接触问题的非光滑非线性方程组方法推广到弹塑性(Mises材料)情形，提出了两种应用方法：一种是将非光滑非线性方程组方法和求解弹塑性问题常用的Newton—Raphson迭代方法结合起来；另一种是将问题写成统一的非光滑非线性方程组，直接求解。数值算例验证了两种方法的有效性，并进行了结果比较。 |
| 英文摘要: |
| In the Nonsmooth Nonlinear Equations Method, the contact constraints are formulated as a set of nonsmooth nonlinear equations and satisfied accurately. The Nonsmooth Damped Newton method(NDN) is used to solve these equations with high computational efficiency. In this paper, the Nonsmooth Nonlinear Equations Method (NNEQM) is extended to the elasto-plastic case in which small strain, Von Mises yield criteria, isotropic hardening law and associated flow rule are considered. For three-dimensional static elastoplastic frictional contact problem(3D-SEPFCP), two kinds of subproblems are needed to be solved : one is the elastoplastic problem and the other is the contact problem. A method combining NNEQM with Newton-Raphson method is presented as NNEQM1. Moreover, the elastoplastic problem can be formulated as linear complementary problem or nonsmooth equations which are solved by the methods in Mathmatical Programming. Therefore, all the contact constraints and yield criteria at the Gauss Points in elements are expressed as a unified set of nonlinear nonsmooth equations which can be solved by NDN. The method is also considered as another way to solve 3D- SEPFCP and denoted as NNEQM2. Numerical example is given to show that the validity of these two approaches and comparison between them has been made. It is concluded that the two approaches are easily convergent, the first one is more efficient than the second one , and the results derived by NNEQM1 is more accurate. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|
|
