{"title":"A mean-strain estimate for plastic particles intended for distinct-particle simulations at high relative density","authors":"","doi":"10.1016/j.cma.2024.117257","DOIUrl":null,"url":null,"abstract":"<div><p>The kinematics of polydisperse granular materials comprised of overlapping spheres is carefully analysed. A single-particle strain estimate is developed that summaries the deformation experienced by each particle in terms of a mean deformation gradient. This strain estimate accounts for material displaced at interparticle contacts as well as a compensatory motion of the free particle surface. Forces that are work-conjugate to the mean deformation gradient are determined; they constitute the many-body forces required for a correct mechanical behaviour in the zero-porosity limit. Notwithstanding this, pairwise interparticle forces are needed for two main reasons; they dominate the particle interactions at small overlaps and stabilise the formulation in the continuum limit. Numerical simulations are performed to demonstrate the properties of the single-particle strain estimate and to test certain aspects of the formulation. In particular, it is demonstrated that the formulation can accommodate large rotations and provides a mechanical response consistent with that of a solid material in the zero-porosity limit. It is concluded that this work forms the basis for future developments aiming at formulation of realistic contact models for plastic particles and macroscopically consistent discrete methods for granular materials.</p></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":null,"pages":null},"PeriodicalIF":6.9000,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0045782524005139/pdfft?md5=92942a0e4d2b2cfe683e118c28137f8a&pid=1-s2.0-S0045782524005139-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Methods in Applied Mechanics and Engineering","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0045782524005139","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The kinematics of polydisperse granular materials comprised of overlapping spheres is carefully analysed. A single-particle strain estimate is developed that summaries the deformation experienced by each particle in terms of a mean deformation gradient. This strain estimate accounts for material displaced at interparticle contacts as well as a compensatory motion of the free particle surface. Forces that are work-conjugate to the mean deformation gradient are determined; they constitute the many-body forces required for a correct mechanical behaviour in the zero-porosity limit. Notwithstanding this, pairwise interparticle forces are needed for two main reasons; they dominate the particle interactions at small overlaps and stabilise the formulation in the continuum limit. Numerical simulations are performed to demonstrate the properties of the single-particle strain estimate and to test certain aspects of the formulation. In particular, it is demonstrated that the formulation can accommodate large rotations and provides a mechanical response consistent with that of a solid material in the zero-porosity limit. It is concluded that this work forms the basis for future developments aiming at formulation of realistic contact models for plastic particles and macroscopically consistent discrete methods for granular materials.
期刊介绍:
Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.