论文标题
物质点方法的幽灵稳定，用于稳定的准静态和动态分析大变形问题
Ghost stabilisation of the Material Point Method for stable quasi-static and dynamic analysis of large deformation problems
论文作者
论文摘要
物质点方法的不稳定性质已被广泛记录，并且是用于常规工程分析的大型变形问题的方法的障碍。有关此问题的绝大多数论文都集中在当物质点在背景网格之间交叉时所表现出的不稳定性。但是，还有其他与材料点方法稳定性有关的问题。本文重点介绍了由物理域相对于背景计算网格的任意性质引起的全局方程式条件的问题。这里通过使用幽灵稳定技术来解决该问题，该技术会惩罚物理域边界附近解决方案场梯度的变化。该技术改变了材料点方法的稳定性，为大变形动态和准静态分析提供了强大的计算框架。
The unstable nature of the material point method is widely documented and is a barrier to the method being used for routine engineering analyses of large deformation problems. The vast majority of papers concerning this issue are focused on the instabilities that manifest when a material point crosses between background grid cells. However, there are other issues related to the stability of material point methods. This paper focuses on the issue of the conditioning of the global system of equations caused by the arbitrary nature of the position of the physical domain relative to the background computational grid. The issue is remedied here via the use of a Ghost stabilisation technique that penalises variations in the gradient of the solution field near the boundaries of the physical domain. This technique transforms the stability of the material point method, providing a robust computational framework for large deformation dynamic and quasi-static analysis.
