Modified virtual internal bond model based on deformable Voronoi particles

作     者：Oleg Konovalov Shunying Ji Michael Zhuravkov Oleg Konovalov;Shunying Ji;Michael Zhuravkov

作者机构：Research Laboratory of Information Technologies and Computer GraphicsBelarusian State UniversityMinsk 220030Belarus DUT-BSU Joint InstituteDalian University of TechnologyDalian 116023China State Key Laboratory of Structural Analysis for Industrial EquipmentDalian University of TechnologyDalian 116023China Department of Theoretical and Applied MechanicsBelarusian State UniversityMinsk 220030Belarus 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2020年第10卷第2期

页      面：87-91页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 0831[工学-生物医学工程（可授工学、理学、医学学位）] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 0707[理学-海洋科学] 080104[工学-工程力学] 0815[工学-水利工程] 0805[工学-材料科学与工程（可授工学、理学学位）] 0813[工学-建筑学] 0802[工学-机械工程] 0824[工学-船舶与海洋工程] 0814[工学-土木工程] 0825[工学-航空宇航科学与技术] 0836[工学-生物工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

主　　题：Discrete element method Real multi-dimensional internal bond Voronoi tessellation Micromechanical poisson ratio Barycentric coordinates Auxetic effects 

摘      要：In last time,the series of virtual internal bond model was proposed for solving rock mechanics *** these models,the rock continuum is considered as a structure of discrete particles connected by normal and shear springs(bonds).It is well announced that the normal springs structure corresponds to a linear elastic solid with a fixed Poisson ratio,namely,0.25 for threedimensional *** the shear springs used to represent the diversity of the Poisson ***,the shearing force calculation is not rotationally invariant and it produce difficulties in application of these models for rock mechanics problems with sufficient *** this letter,we proposed the approach to support the diversity of the Poisson ratio that based on usage of deformable Voronoi cells as set of *** edges of dual Delaunay tetrahedralization are considered as structure of normal springs(bonds).The movements of particle’s centers lead to deformation of tetrahedrals and as result to deformation of Voronoi *** each bond,there are the corresponded dual face of some Voronoi *** can consider the normal bond as some beam and in this case,the appropriate face of Voronoi cell will be a cross section of this *** during deformation the Voronoi face was expand,then,according Poisson effect,the length of bond should be *** above mechanism was numerically investigated and we shown that it is acceptable for simulation of elastic behavior in 0.1–0.3 interval of Poisson *** surprise is that proposed approach give possibility to simulate auxetic materials with negative Poisson’s ratio in interval from–0.5 to–0.1.