• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>SIAM Journal on Numerical Analysis >FIRST-ORDER SYSTEM LEAST SQUARES FOR THE SIGNORINI CONTACT PROBLEM IN LINEAR ELASTICITY
【24h】

FIRST-ORDER SYSTEM LEAST SQUARES FOR THE SIGNORINI CONTACT PROBLEM IN LINEAR ELASTICITY

机译：线性弹性中的Signorini接触问题的一阶系统最小二乘

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

A first-order system least squares formulation for the Signorini problem modeling frictionless contact in linear elasticity is studied. In addition to the displacement field, the stress tensor is used as an independent process variable. A contact boundary term is added to the usual least squares functional in order to achieve coercivity and continuity in appropriate norms. The discrete functional is shown to constitute an a posteriori error estimator on which an adaptive refinement strategy may be based. As finite element spaces, standard conforming piecewise polynomials for the displacement approximation are combined with Raviart-Thomas elements for the rows in the stress tensor. Computational results for a test problem of Hertzian contact illustrate the effectiveness of our least squares approach.
机译：研究了线性弹性中Signorini问题建模无摩擦接触的一阶系统最小二乘公式。除位移场外，应力张量还用作独立的过程变量。将接触边界项添加到通常的最小二乘泛函中，以便在适当的范式中实现矫顽力和连续性。离散功能被示为构成后验误差估计器，自适应细化策略可以基于该后验误差估计器。作为有限元空间，用于位移近似的标准一致分段多项式与用于应力张量中各行的Raviart-Thomas元组合。赫兹接触测试问题的计算结果说明了最小二乘法的有效性。

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