摘要
基于结构力学的有限元方法,采用软球的面积和相邻球数分布研究重力作用下软球壳的二维堆积结构,并分析堆积结构的填充率、势能等特性。研究表明:软球壳堆积过程是无序的,并没有取向偏好。堆积结构有不同的类型,且不同类型对应不同的面积和相邻球数分布,其呈现多分散特征。堆积结构的面积变化率与堆积结构的势能正相关,面积变化率越大,势能越大,且结构类型的势能随着模量增大而减少。对于具有不同半径的双分散软球壳的堆积结构,软球的面积与相邻球数之间,呈现出近似线性关系,且结构中半径较大的软球数量越多,结构所具有的势能越大。本研究有助于提高对细胞等软物质堆积结构的几何和拓扑性质的理解,为分析软球壳等活组织和材料提供了计算依据。
Based on the finite element method of structural mechanics,the two-dimensional stacking structure of soft spherical shells under gravity is studied by using the area of soft spheres and the distribution of the number of adjacent spheres,and the filling rate and potential energy of the stacking structure are analyzed.The results show that the soft spherical shell stacking process is disordered and has no orientation preference.There are different types of stacking structures,and different types correspond to different areas and distributions of adjacent spheres,which exhibit polydispersity characteristics.The area change rate of the stacking structure is positively correlated with the potential energy of the stacking structure.The greater the area change rate results the greater the potential energy,and the potential energy of the structure type decreases with the increase of the modulus.For the stacking structures of bidisperse soft spheres with different radii,there is an approximate linear relationship between the area of the soft spheres and the number of adjacent spheres,and the more number of soft spheres with bigger radii in the structure results in the greater potential energy of the structure.This study helps to improve the understanding of the geometric and topological properties of soft matter packing structures such as cells,and provides a computational basis for the analysis of living tissues and materials with soft spherical shells.
作者
麦兴鸿
陈巧悦
丁明明
MAI Xinghong;CHEN Qiaoyue;DING Mingming(Xinjiang Laboratory of Phase Transitions and Microstructures in Condensed Matter Physics,College of Physical Science and Technology,Yili Normal University,Yining,Xinjiang 835000,China;School of Chemical Engineering and Light Industry,Guangdong University of Technology,Guangzhou,Guangdong 510006,China)
出处
《计算物理》
CSCD
北大核心
2023年第3期359-368,共10页
Chinese Journal of Computational Physics
基金
伊犁师范大学校级科研项目(2022YSYB009)资助。
关键词
堆积结构
软球壳
有限元
势能
重力
stacked structure
soft sphere
finite element
potential energy
gravity