• 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 >ANALYSIS OF A SPACE-TIME DISCRETIZATION FOR DYNAMIC ELASTICITY PROBLEMS BASED ON MASS-FREE SURFACE ELEMENTS
【24h】

ANALYSIS OF A SPACE-TIME DISCRETIZATION FOR DYNAMIC ELASTICITY PROBLEMS BASED ON MASS-FREE SURFACE ELEMENTS

机译：基于无面元的动力弹性问题的时空离散分析

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 this paper, a new space-time discretization is proposed which is based on a modified mass matrix. The mass associated with a surface layer of elements is redistributed such that the inertia at the boundary is removed. This approach is motivated by the observation that standard space-time discretization schemes applied to dynamic contact problems yield spurious oscillations. A widely used approach for the numerical simulation of these problems is based on Lagrange multipliers which represent the contact stresses. But the algebraic contact conditions in combination with the inertia volume terms often yield nonphysical results for the contact stresses, and the stability of the algorithm can be lost. Our modified matrix is calculated via nonstandard quadrature formulas that require no extra computational effort. In addition, the conservation properties of the underlying algorithm are carried over to the modified method, and the standard optimal a priori estimates are still satisfied. Numerical examples confirm the optimality of the approach and its stabilization effect applied to contact problems.
机译：本文提出了一种基于改进质量矩阵的新时空离散方法。重新分配与元素表面层相关的质量，以消除边界处的惯性。这种方法的动机是观察到，应用于动态接触问题的标准时空离散方案会产生寄生振荡。对这些问题进行数值模拟的一种广泛使用的方法是基于表示接触应力的拉格朗日乘数。但是，代数接触条件与惯性体积项的组合通常会产生非物理结果，从而导致接触应力，并且可能会失去算法的稳定性。我们修改后的矩阵是通过非标准的正交公式计算的，不需要额外的计算工作。另外，将基础算法的守恒性质保留到改进方法中，并且仍然满足标准的最佳先验估计。数值例子证实了该方法的最优性及其对接触问题的稳定作用。

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