Arbitrary particle domain interpolation method and application to problems of geomaterial deformation
Arbitrary particle domain interpolation method and application to problems of geomaterial deformation
复制标题
任意粒子域插值方法及其在岩土变形问题中的应用
DOI：
10.1016/j.sandf.2020.09.006
复制
发表时间：
2020
影响因子：
3.7
通讯作者：
Higo Yosuke
中科院分区：
文献类型：
--
作者：
Kiriyama Takatoshi;Higo Yosuke
报道了与物质点法（MPM）相关的两类数值技术；一种是任意粒子域插值法（APDI），另一种是粒子元耦合法。APDI插值函数是一种域积分方法，它可以考虑粒子点法中粒子域的任意形状。采用数值域积分的APDI方法在二维和三维实现中都实现了较简单的算法。特别是在三维公式中，为了数值方法的完整性，不可避免地要使公式和实现简单化。另一方面，粒子-单元耦合方法是减少内存、存储和计算时间等计算成本的数值框架。粒子单元法的基本思想是将目标域物理划分为子域，并通过数值网格将子域数值组合在一起。该技术使我们能够对目标域的不同部分应用不同的插值函数，实现在同一过程中同时使用粒子和单元的复杂计算。本文介绍了APDI法和颗粒-单元耦合法的公式和论证，阐明了这两种方法对岩土材料的适用性和有效性。
The two types of numerical techniques related to the Material Point Method (MPM) are reported; one is the alternative interpolation function called Arbitrary Particle Domain Interpolation (APDI), and the other is the particle-element coupled method. APDI interpolation function is one of the domain integration methods, which can consider the arbitrary shape of particle domain in MPM. The numerical domain integration employed in APDI method has realized the simpler algorithm in both 2- or 3-dimensional implementation. Especially in 3-dimensional formulation, the simple formulation and implementation is inevitable for the integrity of the numerical method. On the other hand, the particle-element coupled method is the numerical framework to reduce the computational cost such as memory, storage and computational time. The basic idea of the particle-element method is to divide the target domain physically into subdomains, and they are combined together numerically by using the numerical grid. This technique enables us to apply the different interpolation function to the different parts of the target domain, realizing the complex calculation using both particle and element in the same procedure. In this paper, the formulations and the demonstrations of both APDI method and the particle-element coupled method are reported, and the applicability and effectiveness of the methods to geomaterial are clarified.
DOI：
--
发表时间：
2017
期刊：
影响因子：
--
作者：
M. Bürg;Liang Jin Lim;R. Brinkgreve
通讯作者：
R. Brinkgreve
影响因子：
1.2
作者：
Koshizuka, S;Oka, Y
通讯作者：
Oka, Y