This paper introduces an improved domain material point method (IDMPM) by scrutinizing the integration error of internal forces and considering the algorithmic properties of the standard material point method (MPM). The traditional uniform shape function is enhanced by designing internal and boundary elements separately, thus providing a distinct expression with an influence domain within the interval [1.0, 2.0].

中文翻译：

---

一种解决细胞交叉不稳定问题的新型改进域质点方法


本文通过仔细研究内力的积分误差并考虑标准材料点法（MPM）的算法特性，介绍了一种改进的域材料点法（IDMPM）。通过分别设计内部元素和边界元素来增强传统的均匀形函数，从而提供影响域在区间[1.0，2.0]内的独特表达。