...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International Journal for Numerical Methods in Engineering >Combined interior-point method and semismooth Newton method for frictionless contact problems
【24h】

Combined interior-point method and semismooth Newton method for frictionless contact problems

机译：结合内点法和半光滑牛顿法解决无摩擦接触问题

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In the present paper, a solution scheme is proposed for frictionless contact problems of linear elastic bodies, which are discretized using the finite element method with lower order elements. An approach combining the interior-point method and the semismooth Newton method is proposed. In this method, an initial active set for the semismooth Newton method is obtained from the approximate optimal solution by the interior-point method. The simplest node-to-node contact model is considered in the present paper, that is, pairs of matching nodes exist on the contact Surfaces. However, the discussions can be easily extended to a node-to-segment or segment-to-segment contact model. In order to evaluate the proposed method, a number of illustrative examples of the frictionless contact problem are shown. The proposed combined method is compared with the interior-point method and the semismooth Newton method. Two numerical examples that are difficult to Solve using the semismooth Newton method are solved effectively using the proposed combined method. It is shown that the proposed method converges within far fewer iterations than the semismooth Newton methods or the interior-point method. Copyright (C) 2009 John Wiley & Sons, Ltd.
机译：本文提出了一种线性弹性体的无摩擦接触问题的解决方案，该解决方案是使用低阶有限元方法离散化的。提出了一种将内点法和半光滑牛顿法相结合的方法。在这种方法中，通过内点法从近似最优解中获得了半光滑牛顿法的初始有效集。本文考虑了最简单的节点到节点接触模型，即在接触面上存在成对的匹配节点。但是，讨论可以轻松地扩展到节点到段或段到段的联系模型。为了评估提出的方法，显示了无摩擦接触问题的许多说明性示例。将所提出的组合方法与内点法和半光滑牛顿法进行了比较。使用所提出的组合方法有效地解决了使用半光滑牛顿法难以求解的两个数值示例。结果表明，与半光滑牛顿法或内点法相比，该方法收敛的迭代次数少得多。版权所有（C）2009 John Wiley＆Sons，Ltd.

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号