{"title":"衔接颗粒材料固态和流体行为的 SPH 模型","authors":"Yadong Wang, Wei Wu","doi":"10.1002/nag.3899","DOIUrl":null,"url":null,"abstract":"<p>We propose a smoothed particle hydrodynamics (SPH) model bridging the gap between solid- and fluid-like behaviour observed in granular materials. The key innovation of the proposed approach lies in the decomposition of the stress gradient into rate-independent and rate-dependent parts, which are governed by the hypoplastic and <span></span><math>\n <semantics>\n <mrow>\n <mi>μ</mi>\n <mo>(</mo>\n <mi>I</mi>\n <mo>)</mo>\n </mrow>\n <annotation>$\\mu (I)$</annotation>\n </semantics></math> constitutive relations, respectively. By using the proposed approach, we successfully capture the transition between solid- and fluid-like flow regimes in granular materials. The proposed SPH scheme is rigorously validated through the examination of various boundary value problems, including the collapse of a granular column, Taylor–Couette flow, and silo flow.</p>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"49 2","pages":"738-755"},"PeriodicalIF":3.4000,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nag.3899","citationCount":"0","resultStr":"{\"title\":\"A SPH Model Bridging Solid- and Fluid-Like Behaviour in Granular Materials\",\"authors\":\"Yadong Wang, Wei Wu\",\"doi\":\"10.1002/nag.3899\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We propose a smoothed particle hydrodynamics (SPH) model bridging the gap between solid- and fluid-like behaviour observed in granular materials. The key innovation of the proposed approach lies in the decomposition of the stress gradient into rate-independent and rate-dependent parts, which are governed by the hypoplastic and <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>μ</mi>\\n <mo>(</mo>\\n <mi>I</mi>\\n <mo>)</mo>\\n </mrow>\\n <annotation>$\\\\mu (I)$</annotation>\\n </semantics></math> constitutive relations, respectively. By using the proposed approach, we successfully capture the transition between solid- and fluid-like flow regimes in granular materials. The proposed SPH scheme is rigorously validated through the examination of various boundary value problems, including the collapse of a granular column, Taylor–Couette flow, and silo flow.</p>\",\"PeriodicalId\":13786,\"journal\":{\"name\":\"International Journal for Numerical and Analytical Methods in Geomechanics\",\"volume\":\"49 2\",\"pages\":\"738-755\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2024-11-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nag.3899\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal for Numerical and Analytical Methods in Geomechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/nag.3899\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, GEOLOGICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Numerical and Analytical Methods in Geomechanics","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/nag.3899","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, GEOLOGICAL","Score":null,"Total":0}
A SPH Model Bridging Solid- and Fluid-Like Behaviour in Granular Materials
We propose a smoothed particle hydrodynamics (SPH) model bridging the gap between solid- and fluid-like behaviour observed in granular materials. The key innovation of the proposed approach lies in the decomposition of the stress gradient into rate-independent and rate-dependent parts, which are governed by the hypoplastic and constitutive relations, respectively. By using the proposed approach, we successfully capture the transition between solid- and fluid-like flow regimes in granular materials. The proposed SPH scheme is rigorously validated through the examination of various boundary value problems, including the collapse of a granular column, Taylor–Couette flow, and silo flow.
期刊介绍:
The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.