Explicit total Lagrangian material point method with implicit frictional-contact model for soft granular materials

IF 2.4 3区工程技术 Granular Matter Pub Date : 2024-06-04 DOI:10.1007/s10035-024-01438-y

Saeid Nezamabadi, Farhang Radjai

{"title":"Explicit total Lagrangian material point method with implicit frictional-contact model for soft granular materials","authors":"Saeid Nezamabadi, Farhang Radjai","doi":"10.1007/s10035-024-01438-y","DOIUrl":null,"url":null,"abstract":"<div><p>We introduce a novel numerical method for the simulation of soft granular materials, in which the particles can undergo large strains under load without rupture. The proposed approach combines an explicit total Lagrangian formulation of Material Point Method (TLMPM) with the Contact Dynamics (CD) method. The TLMPM resolves particle bulk deformations whereas the CD treats contact interactions between soft particles. The efficiency and accuracy of this approach are illustrated by analyzing diametral compression of a soft circular particle and the compaction of an assembly of soft particles up to very high levels of packing fraction. We show that although the assembly undergoes a jamming transition, the particles continue to rearrange as they get increasingly distorted under load. Interestingly, as the packing fraction increases, a transition occurs to a regime fully governed by particle shape change. The evolution of the global stress as well as the connectivity of the particles as a function of the packing fraction are discussed and a predictive model relating stress to packing fraction beyond jamming transition is proposed.</p><h3>Graphical Abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":49323,"journal":{"name":"Granular Matter","volume":"26 3","pages":""},"PeriodicalIF":2.4000,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Granular Matter","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10035-024-01438-y","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

Abstract

We introduce a novel numerical method for the simulation of soft granular materials, in which the particles can undergo large strains under load without rupture. The proposed approach combines an explicit total Lagrangian formulation of Material Point Method (TLMPM) with the Contact Dynamics (CD) method. The TLMPM resolves particle bulk deformations whereas the CD treats contact interactions between soft particles. The efficiency and accuracy of this approach are illustrated by analyzing diametral compression of a soft circular particle and the compaction of an assembly of soft particles up to very high levels of packing fraction. We show that although the assembly undergoes a jamming transition, the particles continue to rearrange as they get increasingly distorted under load. Interestingly, as the packing fraction increases, a transition occurs to a regime fully governed by particle shape change. The evolution of the global stress as well as the connectivity of the particles as a function of the packing fraction are discussed and a predictive model relating stress to packing fraction beyond jamming transition is proposed.

Graphical Abstract

Abstract Image

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

针对软颗粒材料的含隐式摩擦接触模型的显式总拉格朗日材料点法

我们介绍了一种用于模拟软颗粒材料的新型数值方法，在这种材料中，颗粒可在载荷作用下承受较大应变而不会破裂。所提出的方法结合了显式总拉格朗日材料点法（TLMPM）和接触动力学（CD）方法。TLMPM 解决的是颗粒的体变形，而 CD 处理的是软颗粒之间的接触相互作用。通过分析软圆颗粒的直径压缩和软颗粒集合体的压实（达到非常高的堆积分数水平），说明了这种方法的效率和准确性。我们的研究表明，尽管装配体经历了一次堵塞转变，但随着颗粒在载荷作用下的扭曲程度越来越大，它们会继续重新排列。有趣的是，随着堆积分数的增加，会过渡到完全受颗粒形状变化支配的状态。本文讨论了全局应力的演变以及颗粒的连通性与堆积分数的函数关系，并提出了一个有关应力与堆积分数的预测模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Granular Matter MATERIALS SCIENCE, MULTIDISCIPLINARY-MECHANICS

CiteScore

4.30

自引率

8.30%

发文量

期刊介绍： Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science. These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations. >> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa. The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.