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
  • [1] A Tension Instability Free Smoothed Particle Hydrodynamics (SPH) Method Applied to Elastic Solid Mechanics
    Zhang, Xiaoying
    Hu, Zhe
    Cui, Weicheng
    Wang, Fang
    JOURNAL OF THE CHINESE SOCIETY OF MECHANICAL ENGINEERS, 2020, 41 (04): : 467 - 478
  • [2] AN APPROACH FOR TENSION INSTABILITY IN SMOOTHED PARTICLE HYDRODYNAMICS (SPH)
    DYKA, CT
    INGEL, RP
    COMPUTERS & STRUCTURES, 1995, 57 (04) : 573 - 580
  • [3] A comprehensive study on the parameters setting in smoothed particle hydrodynamics (SPH) method applied to hydrodynamics problems
    Mao, Zirui
    Liu, G. R.
    Dong, Xiangwei
    COMPUTERS AND GEOTECHNICS, 2017, 92 : 77 - 95
  • [4] Instability of smoothed particle hydrodynamics applied to Poiseuille flows
    Song, Baofang
    Pazouki, Arman
    Poeschel, Thorsten
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 76 (06) : 1447 - 1457
  • [5] A new model to solve fluid-hypo-elastic solid interaction using the smoothed particle hydrodynamics (SPH) method
    Amini, Y.
    Emdad, H.
    Farid, M.
    EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2011, 30 (02) : 184 - 194
  • [6] A particle-based free surface detection method and its application to the surface tension effects simulation in smoothed particle hydrodynamics (SPH)
    Lin, Yixin
    Liu, G. R.
    Wang, Guangyu
    JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 383 : 196 - 206
  • [7] Dual-Support Smoothed Particle Hydrodynamics for Elastic Mechanics
    Dai, Zili
    Ren, Huilong
    Zhuang, Xiaoying
    Rabczuk, Timon
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 14 (04)
  • [8] Application of smoothed particle hydrodynamics method to the simulations of elastic wave propagation in solid
    Ding, Hua
    Long, Li-Ping
    Wu, Yan-Feng
    Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 2005, 22 (03): : 320 - 325
  • [9] The Mathematics of Smoothed Particle Hydrodynamics (SPH) Consistency
    Sigalotti, Leonardo Di G.
    Klapp, Jaime
    Gesteira, Moncho Gomez
    FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, 2021, 7
  • [10] Slope stability analysis using smoothed particle hydrodynamics (SPH) method
    Nonoyama, Hideto
    Moriguchi, Shuji
    Sawada, Kazuhide
    Yashima, Atsushi
    SOILS AND FOUNDATIONS, 2015, 55 (02) : 458 - 470
12345