Construction of irregular particles with superquadric equation in DEM
Abstract: Non-spherical particles are widely present in industrial production, and significantly affect the macro and micro characteristics of granular materials. Although the superquadric equation can be used to construct non-spherical particles, its disadvantage is that the particle shape is geome...
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doaj-cd3445b280ad46a0aeb99002eaf6195d2020-11-25T03:29:29ZengElsevierTheoretical and Applied Mechanics Letters2095-03492020-01-011026873Construction of irregular particles with superquadric equation in DEMSiqiang Wang0Dzianis Marmysh1Shunying Ji2State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, ChinaDepartment of Theoretical and Applied Mechanics, Belarusian State University, Minsk 22073, Belarus; DUT-BSU Joint Institute, Dalian University of Technology, Dalian 116023, ChinaState Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, China; DUT-BSU Joint Institute, Dalian University of Technology, Dalian 116023, China; Corresponding authorAbstract: Non-spherical particles are widely present in industrial production, and significantly affect the macro and micro characteristics of granular materials. Although the superquadric equation can be used to construct non-spherical particles, its disadvantage is that the particle shape is geometrically symmetric and strictly convex. In this study, two composed approaches are used to describe geometrically asymmetric and concave particle shapes, including a multi-superquadric model and a poly-superquadric model. The multi-superquadric model is a combination of several superquadric elements, and can construct concave and geometrically asymmetric particle shapes. The poly-superquadric model is a combination of eight one-eighth superquadric elements, and can construct convex and geometrically asymmetric particle shapes. Both composed models are based on superquadric equations, and Newton's iterative method is used to calculate the contact force between the elements. Furthermore, superquadric elements, multi-superquadric elements, and poly-superquadric elements are applied for the formation of complex granular beds, and the influences of particle shape on the packing fraction can be successfully captured by the proposed models. Keywords: Discrete element model, Multi-superquadric elements, Poly-superquadric elements, Irregular particles, Granular bedhttp://www.sciencedirect.com/science/article/pii/S2095034920300143 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Siqiang Wang Dzianis Marmysh Shunying Ji |
spellingShingle |
Siqiang Wang Dzianis Marmysh Shunying Ji Construction of irregular particles with superquadric equation in DEM Theoretical and Applied Mechanics Letters |
author_facet |
Siqiang Wang Dzianis Marmysh Shunying Ji |
author_sort |
Siqiang Wang |
title |
Construction of irregular particles with superquadric equation in DEM |
title_short |
Construction of irregular particles with superquadric equation in DEM |
title_full |
Construction of irregular particles with superquadric equation in DEM |
title_fullStr |
Construction of irregular particles with superquadric equation in DEM |
title_full_unstemmed |
Construction of irregular particles with superquadric equation in DEM |
title_sort |
construction of irregular particles with superquadric equation in dem |
publisher |
Elsevier |
series |
Theoretical and Applied Mechanics Letters |
issn |
2095-0349 |
publishDate |
2020-01-01 |
description |
Abstract: Non-spherical particles are widely present in industrial production, and significantly affect the macro and micro characteristics of granular materials. Although the superquadric equation can be used to construct non-spherical particles, its disadvantage is that the particle shape is geometrically symmetric and strictly convex. In this study, two composed approaches are used to describe geometrically asymmetric and concave particle shapes, including a multi-superquadric model and a poly-superquadric model. The multi-superquadric model is a combination of several superquadric elements, and can construct concave and geometrically asymmetric particle shapes. The poly-superquadric model is a combination of eight one-eighth superquadric elements, and can construct convex and geometrically asymmetric particle shapes. Both composed models are based on superquadric equations, and Newton's iterative method is used to calculate the contact force between the elements. Furthermore, superquadric elements, multi-superquadric elements, and poly-superquadric elements are applied for the formation of complex granular beds, and the influences of particle shape on the packing fraction can be successfully captured by the proposed models. Keywords: Discrete element model, Multi-superquadric elements, Poly-superquadric elements, Irregular particles, Granular bed |
url |
http://www.sciencedirect.com/science/article/pii/S2095034920300143 |
work_keys_str_mv |
AT siqiangwang constructionofirregularparticleswithsuperquadricequationindem AT dzianismarmysh constructionofirregularparticleswithsuperquadricequationindem AT shunyingji constructionofirregularparticleswithsuperquadricequationindem |
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