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2D particle contact-based meshfree method in CDEM and its application in geotechnical problems

机译:CDEm中基于二维粒子接触的无网格方法及其在岩土工程中的应用

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摘要

Continuum-based discrete element method is an explicit numerical method, which is a combination of block discrete element method (DEM) and FEM. When simulating large deformation problems, such as cutting, blasting, water-like material flowing, the distortion of elements will lead to no convergence of the numerical system. To solve the convergence problem, a particle contact-based meshfree method (PCMM) is introduced in. The paper aims to discuss this issue.\udPCMM is based on traditional particle DEM, and use particle contacts to generate triangular elements. If three particles are contact with each other, the element will be created. Once elements are created, the macroscopic constitutive law could be introduced in. When large deformation of element occurs, the contact relationship between particles will be changed. Those elements that do not meet the contact condition will be deleted, and new elements that coincide with the relationship will be generated. By the deletion and creation of elements, the convergence problem induced by element distortion will be eliminated. To solve FEM and PCMM coupled problems, a point-edge contact model is introduced in, and normal and tangential springs are adopted to transfer the contact force between particles and blocks.\udAccording to the deletion and recreation of elements based on particle contacts, PCMM could simulate large deformation problems. Some numerical cases (i.e. elastic field testing, uniaxial compression analysis and wave propagation simulation) show the accuracy of PCMM, and others (i.e. soil cutting, contact burst and water-like material flowing) show the rationality of PCMM.\udIn traditional particle DEM, contact relationships are used to calculate contact forces. But in PCMM, contact relationships are adopted to generate elements. Compared to other meshfree methods, in PCMM, the element automatic deletion and recreation technique is used to solve large deformation problems.
机译:基于连续体的离散元方法是一种显式数值方法,它是块离散元方法(DEM)和FEM的组合。当模拟大变形问题时,例如切削,爆破,水状材料流动,元素的变形将导致数值系统不收敛。为了解决收敛问题,引入了基于粒子接触的无网格方法(PCMM)。本文旨在讨论这一问题。\ udPCMM基于传统的粒子DEM,并使用粒子接触生成三角形元素。如果三个粒子相互接触,将创建该元素。一旦创建了元素,就可以引入宏观本构定律。当元素发生大变形时,粒子之间的接触关系将发生变化。那些不满足接触条件的元素将被删除,并且将生成与该关系相符的新元素。通过删除和创建元素,将消除由元素失真引起的收敛问题。为了解决有限元法和PCMM耦合问题,引入了点-边接触模型,并采用法向和切向弹簧传递粒子和块之间的接触力。\ ud根据基于粒子接触的元素的删除和重新构造,PCMM可以模拟大变形问题。一些数值案例(即弹性场测试,单轴压缩分析和波传播模拟)显示了PCMM的准确性,而其他一些案例(例如,切土,接触爆裂和类似水的物料流动)则表明了PCMM的合理性。\ ud在传统粒子DEM中,接触关系用于计算接触力。但是在PCMM中,采用联系关系来生成元素。与其他无网格方法相比,在PCMM中,元素自动删除和重新创建技术用于解决较大的变形问题。

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