A Tension Instability Free Smoothed Particle Hydrodynamics (SPH) Method Applied to Elastic Solid Mechanics

被引：0
|
作者：
Zhang, Xiaoying [1 ]
Hu, Zhe [1 ]
Cui, Weicheng [1 ,2 ,3 ]
Wang, And Fang [2 ]
机构：
[1] School of Marine Engineering, Jimei University, Xiamen,361021, China
[2] Shanghai Engineering Research Center of Hadal Science and Technology, Shanghai Ocean University, Shanghai,201306, China
[3] School of Engineering, Westlake University, Hangzhou,310024, China
来源：
Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao | 2020年 / 41卷 / 04期
关键词：
In this paper; a simple algorithm applied to elastic solid problems based on the Smoothed Particle Hydrodynamics (SPH) method is discussed. The solid is considered to be not flowable; and therefore particle approximation is only performed on the initial undeformed solid domain using a typical Lagrange interpretation. Under such consideration; the algorithm shows palpable reduction in computational consumption; and suffers less from tension instability which happens in most traditional SPH methods for solids. The proposed algorithm is validated against theoretical solutions; and is tested in solving a contact and collision problem. A von Neumann stability analysis is performed and a sufficient condition of stability is given; showing that the tension instability issue can be avoided under certain circumstances. © 2020; Chinese Mechanical Engineering Society. All right reserved;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
引用
收藏
页码：467 / 478
相关论文
共 50 条
  • [41] An improvement for tensile instability in smoothed particle hydrodynamics
    J. K. Chen
    J. E. Beraun
    C. J. Jih
    Computational Mechanics, 1999, 23 : 279 - 287
  • [42] Numerical Simulation of Longitudinal Oscillation of Filament Based on Smoothed Particle Hydrodynamics (SPH) Method
    Liu, Yu Xiang
    Qiang, Hong Fu
    Wang, Xue Ren
    Wang, Du Dou
    Wang, Yan Chao
    Zhang, Lin Tao
    SOLAR PHYSICS, 2022, 297 (05)
  • [43] An improvement for tensile instability in smoothed particle hydrodynamics
    Chen, JK
    Beraun, JE
    Jih, CJ
    COMPUTATIONAL MECHANICS, 1999, 23 (04) : 279 - 287
  • [44] Numerical simulations of oil flow inside a gearbox by Smoothed Particle Hydrodynamics (SPH) method
    Ji, Zhe
    Stanic, Milos
    Hartono, Erwin Adi
    Chernoray, Valery
    TRIBOLOGY INTERNATIONAL, 2018, 127 : 47 - 58
  • [45] Numerical studies on the explosive welding by smoothed particle hydrodynamics (SPH)
    Tanaka, Katsumi
    SHOCK COMPRESSION OF CONDENSED MATTER - 2007, PTS 1 AND 2, 2007, 955 : 1301 - 1304
  • [46] Improvement of tensile instability in smoothed particle hydrodynamics
    Jia, Bin
    Ma, Zhi-Tao
    Zhang, Wei
    Pang, Bao-Jun
    Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology, 2010, 42 (09): : 1369 - 1373
  • [47] Surface tension simulation of free surface flows using smoothed particle hydrodynamics
    Ordoubadi, M.
    Yaghoubi, M.
    Yeganehdoust, F.
    SCIENTIA IRANICA, 2017, 24 (04) : 2019 - 2033
  • [48] Improvement on stress instability in smoothed particle hydrodynamics
    Yang Xiu-Feng
    Liu Mou-Bin
    ACTA PHYSICA SINICA, 2012, 61 (22)
  • [49] A smoothed particle hydrodynamics (SPH) study of sediment dispersion on the seafloor
    Thien Tran-Duc
    Nhan Phan-Thien
    Khoo, Boo Cheong
    PHYSICS OF FLUIDS, 2017, 29 (08)
  • [50] Novel applications of smoothed particle hydrodynamics (SPH) in metal forming
    Cleary, P. W.
    Prakash, M.
    Ha, J.
    JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2006, 177 (1-3) : 41 - 48
12345