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

被引：0
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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;
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页码：467 / 478
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